diff --git "a/data/dm_maths/full_data/4318_11255.jsonl" "b/data/dm_maths/full_data/4318_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4318_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 72\/(-135) - (3\/9 + -1)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*i + 2)*(-2*i**2 - i**2 - 2*i**2) + (i + 5*i - 4*i)*(-i**2 + i - i) to the form q + h*i**3 + c*i**2 + a*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5 + (-2)\/5 + ((-1608)\/(-60) - -15).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*y + 22 = 0, -18 = -5*l + 3*y - 5*y. Suppose -l*i + 200 = 2*i. Calculate the greatest common divisor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 23*a**2\/2 + 68. Let m(i) = 3*i. What is m(v(g))?\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0\/1 + -2)*2. Let x be 1\/(-5) - n\/6. Determine t so that 0*t + 0 + x*t**2 + 2\/15*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954725844.\nAnswer: 2, 277, 1764193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 2\/3, -0.1.\nAnswer: -11, -2, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-16))\/(((-10)\/(-4))\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2908.9605 - 21843.\nAnswer: -18934.0395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 57*h**2 + 20*h + 10. Let v(u) = -78*u**2 - 27*u - 13. Let p(n) = 13*k(n) + 10*v(n). Let f(s) = 2*s. Give f(p(y)).\nAnswer: -78*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*i + 3*d, 0*d + 3*d - 1 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erjerjooj. What is prob of picking 3 j and 1 r?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {r: 1, d: 9, e: 10}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, r: 1}. What is prob of sequence bb?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from cccqcccqc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -766*o + 4791. Let c(f) = 2*f. Give c(s(u)).\nAnswer: -1532*u + 9582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i**2 + 6*i - 5. Let j(g) = 5*g**2 + g - 1. Let d(f) = -a(f) + 5*j(f). Give d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 253.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.79 + -1.7. Let y = -50 + 52. What is the nearest to p in -0.4, 1, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*c**2 - 63 - 4494*c + 4494*c to the form n + r*c**2 + f*c and give r.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*(s**0\/s)\/s)\/((s*s\/s**2*s)\/(s\/(s**(-2\/15)\/s)))*((s**(2\/9)\/s)**(-2\/49))**(-1\/18) assuming s is positive.\nAnswer: s**(-1328\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1646.2 from 962.\nAnswer: 2608.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006382227576 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -1304677?\nAnswer: -1304677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5190.\nAnswer: -1\/2595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -3*v + t, t = -5*v + 3. Sort v, -1, -0.025 in descending order.\nAnswer: v, -0.025, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -2\/13, -9, 0.03?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 23 = 2*z. Let j = z - -23. Suppose j*t = 7*t - 14. Solve l + 4*f = -15, t*l + f - 4 + 13 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - (-7 - -1)) + 11. Is 8 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005356776.\nAnswer: 2, 1291, 194167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/25*(35*(-6)\/(-6))\/(-3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1 (b) -14 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 11*y - y + 9)*(y - y - y**2).\nAnswer: 12*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2447 + -31814\/13. Is 2\/47 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1923 (base 10) to base 16\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 372809893 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -20, 1, -3, -45, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233239, -466482, -699725, -932968, -1166211, -1399454?\nAnswer: -1632697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42216345 is divided by 978.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2528, -10176, -22940, -40814, -63792?\nAnswer: -91868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -12. Suppose l*t + 2 = 2*t. Let s(y) = -3*y**2 + 1. Let c be s(t). Put 1, 4, c in decreasing order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k + 7 - 1 + 2*k**2 - k**2. Let o be r(6). What is the units digit of o + -3*1\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 3926286?\nAnswer: 3926286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/18 - 2*r**5\/15 + 5*r**4\/6 + 8*r**3\/9 - 11*r**2\/2 + 6*r + 52. Suppose d(a) = 0. What is a?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + -28 - (14 - 2)) + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 210*t + 5333. Let k be o(157). Do -2986 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6326, -12654, -18982, -25310, -31638, -37966?\nAnswer: -44294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 2*r**2 - r + 4. Let f be z(2). Solve -2*y - 2 = f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.0089 * 59.\nAnswer: -118.5251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14 = -3*f - 2*m, 0 = -3*f + 4*m + 21. Let x = f - 5. Let d(h) = 2*h**3 + 2*h. Let y be d(x). Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67023 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2488 and 101\/4354?\nAnswer: 17416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-1 - 3\/(-2)). Suppose -2*c + 5*w = -5*c + 1, -10 = -3*c + i*w. Let l be ((-4)\/(-7))\/(c\/7). Solve 8 - l = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 27 = 3*f + 14, -9*l - 37 = 30*f - 13*f - 15*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*136\/357*4\/(-24*1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (8 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343315 divided by 85.\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 5*t - 25, 3*d + 11 = -2*t. Let n be 3 - (d + -7 + 4 - -3). What is the greatest common factor of n and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660463100 rounded to the nearest one hundred thousand?\nAnswer: 660500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 11, l: 4}. What is prob of picking 3 c and 1 n?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-688)\/(-3612))\/(50\/(-375)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 2*l + 26, 0 = -p - 2*l + 10. Let c = p - -6. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -10.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 6 (c) -3747 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4988.35759 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 545507671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2be (base 16) to base 5.\nAnswer: 10302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-200)\/(-35) + (-2)\/(-7). Suppose 2*z = v*z - 8. Is 12 a factor of (z - -19) + (-12)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90166, 360489, 810958, 1441579, 2252358, 3243301, 4414414, 5765703?\n\"Answer: c**3 + 90067*c**2 + 115*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.2 - -42.79. Let r = x - -36. What is r rounded to 2 dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-556)\/56 - 18\/(-42).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1210)\/3388)\/((-6)\/10) + 3*2\/(-63)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8515 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -128. Suppose 4*w = -0*y + 4*y, 0 = -3*y - 4*w + v. Sort -2, 1, -3, y in descending order.\nAnswer: y, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 9*j**2 + 8101*j + 64743. What is n(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 118*g = 115*g + 41, -2*g + 20 = 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -v + 12*y + 804, 4125 = 5*v - 5*y. What is the greatest common factor of 936 and v?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318018341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 470566?\nAnswer: 941132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 235. What is the smallest common multiple of u and 7?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, -242, -1869, -4158, -7109, -10722?\nAnswer: -14997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*-80*(-40)\/(-100). Suppose -79 = -3*k + 29. Calculate the highest common divisor of o and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499465?\nAnswer: 3, 5, 166631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 24. Let j be y(16). Let u be (-3)\/4 - (-4602)\/j. Let t = -124 + u. Calculate the remainder when t is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-19)\/((m\/((m*m*m**(1\/7))\/m)*m)\/m))**(-7\/3))**(-38) assuming m is positive.\nAnswer: m**(-1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-14))\/((-3)\/(-4)). Suppose 53*s = 48*s + 240. Let f be (1\/6)\/((-12)\/s). Is f equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3628*l**2 - 1998*l**2 - 1627*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 29 = 4*i, 0 = -3*i - 5*k - 7. Solve -i*p + 20 = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5693?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*q - 15 = -7*p, 6 = 2*p - q. Calculate the remainder when 33 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 116, 328, 716, 1334?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/24 + 16\/(-12))\/(5\/(-10)). Let t = -0.2 - -0.5. Let s = 3 + -5. What is the third biggest value in s, i, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23295727\/1332 + 52468\/3. What is the common denominator of -17\/2 and g?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 21 - 149 = -5*p, 0 = -m - 2. What is the remainder when 92 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 2. Let v be x(2). Let a = v + -2. What is the second derivative of 2*w**4 + 2*w**a - w - 2*w**2 wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 104*o - 2. Let d(w) = 3 + 498*w - 499*w - 3. Calculate d(u(v)).\nAnswer: -104*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010666 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = j + 4, -3*j - 4*q - 17 = 0. Put -2, 5, j in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/312 and -25\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*i**3 + 716408*f**3*i - 2037056*f**3 wrt i.\nAnswer: 6*f**3*i**2 + 716408*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*n - 51, -4*n = 5*g - n - 205. Let q = g - -1. Suppose 3*l + 12 - q = 0. Calculate the lowest common multiple of 7 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 17*n - 35. Suppose -2*y = 3*f + 4, 4*y - 4*f = -y - 56. List the prime factors of c(y).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 2*k - 12*k - 6*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30316 = 767*h + 611*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(6\/7)\/((t*t*t*t**(-8))\/t**(1\/4))*(t\/(t\/(t**(-2)\/t)*t)*t*t)**(-40)*(t**2)**(-46) assuming t is positive.\nAnswer: t**(-197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 168 = 27*a. Suppose -b + a = 29. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4221122 (base 6) to base 8\nAnswer: -620352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613303, -613306, -613309, -613312, -613315, -613318?\nAnswer: -613321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 - 246 + 474 - 35271*u.\nAnswer: -35271*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 73897 + 21817. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133402 (base 5) to base 3.\nAnswer: 21111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(208)\/sqrt(4) + (2*sqrt(325) + sqrt(325) - sqrt(325))**2.\nAnswer: 2*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4946580 divided by -1648860\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 13*n - 22. Let l be q(9). Suppose 0 = -2*d + l + 36. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.7, 36, -26, -2, -2\/5, 5\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 735300 to the nearest ten thousand.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let b(h) be the third derivative of 23\/60*h**5 + 62*h**2 + 0*h**3 + 0 + 0*h**4 + 0*h. What is z(b(q))?\nAnswer: 1587*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7495588?\nAnswer: 2, 43, 43579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 16 = 5*h, -3*j - 83*h - 18 = -86*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.38 + 83. What is l rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99740*2036.\nAnswer: 203070640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 0 - 16 - 3 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let b(m) = -31*m - 23149 + 23149. Determine f(b(c)).\nAnswer: 961*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/539, 4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**2 - 11*l + 6. Suppose 0*w = 5*y - w + 34, 5*w - 44 = 4*y. Let p(q) = -q**2 + q - 1. Give y*p(n) - i(n).\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2228 = 2237 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 0.5, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 13*o - 6. What is i(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5108 * -0.1\nAnswer: -510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -9. Suppose -3*h + 2*k = 4 + 6, -k + 5 = 2*h. Let y be (h - -1) + 5 - 3\/m. Solve 2*q - 5*c + 14 = -2, 3*q + 15 = y*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14461367.\nAnswer: 3499, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 4*2*sqrt(147))**2 + (5 + sqrt(147) + sqrt(147) + (sqrt(147) - 1*sqrt(147)))**2)*1.\nAnswer: 140*sqrt(3) + 12520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.02 (c) -2896 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1938*g + 1. What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16068050 divided by 2425\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -11d?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2\/9 + 128*s\/3 + 152\/9.\nAnswer: 2*(s + 38)*(5*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*b**6*w - 71*b**5*w**3 + 572*b**2 + 24*w**3 wrt b.\nAnswer: 13680*b**3*w - 4260*b**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -103. Let x = 4364.841592 - 4402.84159161. Let u = x + d. Round u to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9602*p - 3 = -9597*p - 2*c, p + 2*c + 27 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/816)\/((-2*1)\/6*(-30)\/(-30)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -81e1416?\nAnswer: -81e141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 9*f**6\/10 - 45*f**2\/2 + 18*f + 41. Let z(x) be the first derivative of q(x). Find the first derivative of z(b) wrt b.\nAnswer: 108*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -51*j - 418. Give x(-10).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/4, 0.19, -2, -2\/23, 0, -89\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*y**4\/5 + 113928*y**3\/5 + 67573539*y**2\/5 - 33808134*y\/5 + 4226907\/5 = 0. Calculate y.\nAnswer: -1187, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - 2001313?\nAnswer: -2001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -78. What is the nearest to o in 3.7, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0300190727 to 5 dps.\nAnswer: 0.03002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 2*y + 5. Let m be t(-4). Let w = 56 + m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67964 and 65.\nAnswer: 339820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0 + 1\/12*j**4 - 18*j + 0*j**3 + 0*j**2. Let n(d) be the third derivative of -d**5\/5 - 2*d**2. Calculate n(z(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 25.747666 days?\nAnswer: 3.678238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0 + 0)*(0*c - 2*c - c) + 0 - c**2 + 0 + (5 - 5 + 3*c)*(7*c - 2*c - 3*c) to r*c**2 + f + x*c and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1055*v. Let u(i) = -i**2 + 2*i + 4407. Give t(u(g)).\nAnswer: 1055*g**2 - 2110*g - 4649385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 - 65*q - 357 = 0.\nAnswer: -51\/2, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8352+0\nAnswer: 8352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 115.5. Let h = -0.03 + 28.03. Let u = 28.1 - h. Sort u, p, -2\/13, -1\/6.\nAnswer: p, -1\/6, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12226 (base 9) in base 7?\nAnswer: 32631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237986753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 - 13*p - 44. Determine d(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -224338, -449924, -675510, -901096, -1126682, -1352268?\n\"Answer: -225586*a + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-69)\/69). Which is the closest to 2? (a) x (b) 1\/18 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34425676 divided by 226\nAnswer: 152326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-10)\/5)*-17. Suppose 0 = 4*h + 114 - j. What is the units digit of ((-204)\/(-10))\/((-6)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -51?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i. Let k(s) = -80*s**2 - 136. Determine q(k(a)).\nAnswer: 480*a**2 + 816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:16 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {n: 4, k: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-39))\/((-75)\/(-650)*-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 33*d - 40422*d**2 + 11*d**3 - 17 + 40406*d**2 - 12*d**3. Let p be (1\/2)\/((-1)\/36). Let k be c(p). Calculate the greatest common factor of 185 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -646689, -1293391, -1940079, -2586747, -3233389, -3879999, -4526571, -5173099?\n\"Answer: t**3 + t**2 - 646712*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 2*w - 1. Let s be m(-1). Suppose -v - v + 20 = s. What is the least common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -63*z - 265. Let n be p(-4). Let f(t) = t**2 + 11*t + 3. Calculate f(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875.336 millilitres in litres?\nAnswer: 6.875336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 91, 161, 259, 385, 539?\n\"Answer: 14*j**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 99.54993 millennia?\nAnswer: 995.4993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 566323 and 0.104682.\nAnswer: 566323.104682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303827723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010101100001111000000111 - 0?\nAnswer: 1101010101100001111000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31918*f*x**3 - 2698*f*x**2 + 3*x**2 wrt x?\nAnswer: -191508*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k**(-2)\/k)*k))**(3\/5))**(-1\/9) assuming k is positive.\nAnswer: k**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 505101 divided by -101?\nAnswer: -5001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k + 340*k + 6062 = -567*k - 51*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2)*(0 - 3 - 2)*(3 + 4 - 2*p - 6) to b + d*p and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4430 - -0.4.\nAnswer: 4430.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -373*q**2. Let h(f) = -2*f**2. What is h(z(l))?\nAnswer: -278258*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20702716 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-4\/5)*z)\/z)**41 assuming z is positive.\nAnswer: z**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15648006 or 15647992?\nAnswer: 15648006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 3*y**3 + y**3)*((1 - 1 - 3)*(2*y + 3*y - 3*y) - 377*y + 166*y - 135*y).\nAnswer: 352*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 56*k + 154. Determine y(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0143390226 rounded to 6 dps?\nAnswer: 0.014339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.852 years to decades.\nAnswer: 19.2852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x**2 - 54*x**2 - 57*x**2 - 61*x**2 + 234*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/(-33)*(13 - 10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1183 - 1008. What is the highest common factor of z and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:56 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13294350275.6 + 7.\nAnswer: 13294350282.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 412 = -g - 2*a, 0 = -4*g - a + 824. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h**3 + h - 5*h**2 + 40*h**3 - 23*h**3 + 1 + 4*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:23 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 113. Let z(p) = -549*p**3 + 11*p**2 + 5*p + 28. Let g be z(l). What is g rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108.1 - 2.9. Let d = -0.771005744 + -110.228975656. Let i = w - d. Round i to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29763, 118705, 266941, 474471, 741295, 1067413, 1452825?\n\"Answer: 29647*d**2 + d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 40. Suppose -k*y = 4*y + 176. Let x be y\/(-24)*423\/6. Is x at most 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53348901*a**3 + 3*a + 3016999?\nAnswer: -320093406*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51493 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 932 + -546. Suppose 0 = -2*r + 5*v - 5, 5*v + 0*v = -r + 20. Suppose 0 = r*h + b - 954, 2*h = -0*h + 4*b + a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**2 + 67 + 12*z**2 - 69. Calculate r(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154465 (base 8) in base 13?\nAnswer: 1c404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 - 3*l**3 + 1169. Factor v(o).\nAnswer: -o**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/12 - 3*u**2. Let p(k) = 3*k**2 - 3*k. Let z(d) = 3*d**2 - 2*d. Let b(r) = -2*p(r) + 3*z(r). Determine q(b(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 6. Let o(w) = w - 6. Let g(c) = 3. Let p(x) = m*g(x) - 3*o(x). Let t(k) be the third derivative of k**4\/24 - k**2. What is t(p(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19705 and -77.7.\nAnswer: -1531078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -239\/103, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-20)*-5)\/(63\/90). Let b(l) = -33*l + 25. Give b(f).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -z + 3*j, -j + 5 = 0. Suppose -14 = -4*v - 2*m, 3*m - 19 = -4. Let w be 2\/(v - z\/12). Calculate the highest common factor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 - 8*x + 29. Let r(c) = -5*c**2 + 3*c - 9. Let g(u) = -3*d(u) - 8*r(u). Let t be g(-4). What is the closest to 36 in 2, t, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203 - 821 + 1320 = -50*m + 2846 for m.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 30*u**2 + 6*u**2)*(9*u - 3 + 1 - 17*u).\nAnswer: -240*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-26)\/((-78)\/(-45)). What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120631 to the power of 1\/2, to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 100 = -3*l. Solve -12 = l*n - 36 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 5, f: 4, h: 2}. What is prob of picking 3 f?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*y + 1957*y - 647*y - 655*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 467 in -0.1, 6\/5, -2.8, 5, -2\/3, -2\/57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -28*n - 147. What is the biggest value in n, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/30 - 2\/(-5). Suppose 2*u - 6*u - 3*y - 329 = 0, o = -u - 2*y - 81. Let x = u - -118. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-5))\/(2\/(-25)). Let d = g + -3. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13945 is divided by 63?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*s + 17 - 22 = 0, -11 = -2*n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = s + 4, 7*i = 5*s + 1 - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, o: 5, w: 2}. Give prob of picking 2 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 63 + 5 - 2\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449808 divided by 29?\nAnswer: -449808\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 8 + 1)*(1 - 4 + 4) - 3 + 0 + 4)*(0*s**4 - 2*s**4 + s**4).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.95627 minus -1432?\nAnswer: 1393.04373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 31920.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 4. Let v be z(2). Suppose 4 - v = 4*j. Let t = 1 - 1. Sort 1, j, t in ascending order.\nAnswer: j, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 39*t**2 + 40*t - 5. Let m be a(-40). What is the closest to -0.4 in -3, -0.4, m, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*y = -4*y. Suppose -8*b + 351 + 97 = y. What is the remainder when b is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -22.3. Suppose -217 = -11*f + 168. Let z = f + -30. What is the third smallest value in 0.8, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, x: 2, f: 6}. What is prob of sequence vfv?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:26 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - -8 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 3*k - 5*s, -9 = 2*k + s. Let v = k + 8. Solve -v*r - 6 = 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/17 + 111\/272. Find the common denominator of j and 1432\/416*7 - 2\/(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**4 + 2*d**3 - 17*d + 31. Let h(o) = -4*o**4 + o**3 - 6*o + 10. Let r(w) = -17*h(w) + 6*q(w). Differentiate r(k) with respect to k.\nAnswer: -16*k**3 - 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-10))\/((-1546)\/(-7730)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = c + 10, l = -4*c - 1. Suppose -l*f = 8*f. Solve f = -9*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/4 - 6165*s**2\/4 - 9498723*s\/4 + 9504889\/4 = 0.\nAnswer: -3083, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6\/u*u\/u**(-13) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 0 = 2*w - 16, 4*w = -3*u - 43 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - u = 8*j + 3, -j + 2*u = -2. Suppose -7*z = j*z. Solve 0*f - 4*f - 4 = 5*c, 4*c - f - 1 = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**10*f*f**(-21) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 70 - 5 = 6*t + 33, 3*t + 51 = -2*v for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(66\/(-24)) - -6. Let 0 - 2\/5*y - 7\/5*y**4 + 2\/5*y**3 + 7\/5*y**v = 0. What is y?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(540)*4)\/(-6*sqrt(18)\/((sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(4)))*1.\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351.534 millilitres in litres?\nAnswer: 1.351534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 6*g - 52 = 0. Suppose 0 = -2*l - 0*l + g. Calculate the remainder when 50 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x. Let c be k(-2). Let a be (-4)\/c - (-2)\/(-5). Let l = 344 + -349. Put -2, a, l in decreasing order.\nAnswer: a, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 - 2. Let d be n(-4). Let m(q) = q**3 + 2*q**2 + q + 1. Give m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2194)\/2198)\/((-70)\/(-15)). Let l = 792343\/92316 - g. Find the common denominator of -16\/3 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/20*(-3032)\/(-60)*(-35 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*h + 4214524 - 370864 = -h. Is h a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k - 6*k + 7*k + (-1 + 4 - 1)*(5 - 5 + 2*k) + 9 + 4*k - 9 to x*k + i and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 - (-6 - -4 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/(155\/30) + (2 - 3) + -8. What is the biggest value in 0.1, 4, -3, -1, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100113 + 3032310?\nAnswer: 2332131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 3*w**4\/8 - 43*w**3\/12 - 5*w**2\/2 - 3*w + 7. Determine a, given that l(a) = 0.\nAnswer: -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1324649.2000062 - 1324646.6. Let d = -2.6 + y. Round d to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9 = 0, 2*v - 3*j + 14 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.297 and -9113236488.\nAnswer: -9113236489.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 1274*d - 987*d - 4*d**2 - 287*d - 6*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*f + 9*f**2 - 40*f + (-56*f + 41*f - 37*f)*(-2*f + 4*f - 4*f) + 2*f**2 + 1 - 1 in the form a*f + v*f**2 + b and give v.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*v - 8, 0 = q - 5*v + 19 - 2. Let o(h) = 5*h - 6*h + 2 + 0*h + 2*h. Let m be o(-2). Solve m = -0*u - q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*v + 4, -4*q + 28 - 6 = 2*v. Let j = -84 + 123. Suppose -3*t + 15 = -3*i, -v*i - j = 5*t - 0*t. Let c(u) = -u**2 - 9*u + 11. What is c(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132\/23 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let d = 12 - 9. Let g be ((2\/(-7))\/2)\/(-1). What is the smallest value in f, g, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 698855640 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by -4.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(19)*-2)**2 + sqrt(19))*6.\nAnswer: 6*sqrt(19) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/((-196)\/392)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1425, 2842, 4249, 5640, 7009, 8350, 9657, 10924?\n\"Answer: -z**3 + z**2 + 1421*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*(-4)\/(-8)*-2. Let i = f - -16. Solve -i = -2*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -121, -201, -295, -403, -525?\n\"Answer: -7*q**2 - 45*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17031818 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*i - 135*i + 628*i + 99*i + 140*i.\nAnswer: 1211*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 40*h + 9*h**3 + 12 - 8*h**3 + 22*h**2 + 1. Let j be (-34 - 4)\/2 - 1. What is the remainder when 64 is divided by b(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1123, 2229, 3323, 4405, 5475?\n\"Answer: -6*d**2 + 1124*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 365573985 to the power of 1\/2, to the nearest integer?\nAnswer: 19120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*n**2*w + 133*a**2*w**2 + 2*a*n*w - 30*a + 3*n**3*w**2 - n**3*w + 35*n**2*w**2 wrt w?\nAnswer: 266*a**2 + 6*n**3 + 70*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 0 + 0)*(-h**3 + 4*h - 4*h) + (-3*h**3 - 2*h**3 + 3*h**3)*(3 + 2*h - 3) to o*h**3 + j*h**4 + f*h + q*h**2 + i and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 18) - (-9 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:36 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 0*c**2 - 2*c - 22 + 14\/3*c**3. Let s be n(-2). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-234)\/(-60) - 2\/(-20). Solve -15 = -3*i - 5*y, 4*y - 6 = -j*i + 2*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -2*n**4\/3 - 7*n**3\/2 + 6*n**2. Let t be v(-6). What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 8 = 5*n, 196*v - 193*v - 4*n + 13 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 96 = -3*x - 2*x, 3*z + 3*x - 144 = 0. Suppose 4*w + 88 = 2*w. Let p = z + w. Let v(y) = y**3 - 2*y**2 - 3*y - 2. What is v(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:53 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 2*r + 1. Let b = 10 - -15. Let i = b - 20. Suppose 0 = -8*p + i*p + 3. Give y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 895.27 + -900. Let o = k + 8.63. What is the third biggest value in 2\/19, -5, 0.5, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33219808.\nAnswer: 2, 1038119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) 4.8 (c) 2 (d) -1 (e) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -28.9.\nAnswer: -46.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 - 241.9. Suppose 5*o = -13 - 12. Let d = 5 + -7. Which is the nearest to g? (a) d (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f + 5. Let o be a(5). Calculate the common denominator of 3 - ((-1505)\/(-10))\/(-7) and (-2)\/o - (-103)\/45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 599746.3 decades?\nAnswer: 5997463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 16*d**2 - 7*d - 30. Is k(-7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*w - 7*b, 0 = -5*b - 9 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -73150*c + 50. Let k be a(-13). Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmu when three letters picked without replacement from mmmmmmmmmummmmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 - -1436466?\nAnswer: 1436342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 56\/6)*(-258)\/7912\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -134, -161, -188, -215, -242?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98176, 196363, 294550, 392737, 490924?\n\"Answer: 98187*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -463)\/(0 - -1). Let g be (-3)\/(-6)*(-1 + h). Let m be g\/(-14) - (-66)\/154. Solve -q + 10 = 3*r, 3*q - 5*q = 5*r - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 3, p: 6, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 1056\/1540. What is the nearest to 2\/13 in 0.2, 1\/3, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*c = -3*c - 1, 2*i - 3*c - 5 = 0. Let l = 5 - 5. Sort i, -3, l.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 5*l + 4. Let o(p) = -10*p**2 + 16*p - 13. Let i(k) = 14*k - 609. Let x be i(43). Give x*d(q) - 2*o(q).\nAnswer: -q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/204 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-8)*((-4)\/(-6))\/((-14)\/36)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbcvbnnenevcbc. What is prob of sequence nvcn?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579 + -575. Suppose 3*b - 237 = -x - 4*x, -f*b = -x + 52. Suppose -3*a - 2*w + 50 = 0, w - 61 = -5*a + 20. What is the highest common factor of x and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355013?\nAnswer: 109, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 204 = -2*h + 74, 0 = 2*y + 3*h - 65. Let t = 13 - 9. What is the highest common divisor of y and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = -3*y. Let s be ((-10)\/(-2))\/(13*(-14)\/(-3276)). What is the common denominator of -89\/10 and 10\/y*(-302)\/s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2448720 and 1440.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.3 and -48126.7442127.\nAnswer: -48129.0442127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 > -14749\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44863833*m**3*n**2 + 3*m**3*n - 2*m**2*n + m*n - 151*m - 31*n + 33 wrt n?\nAnswer: -89727666*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 193 and 0.21794.\nAnswer: 42.06242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(45) + 2)**2 + sqrt(180) + 2.\nAnswer: 96 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 33.6. Which is the closest to u? (a) 0.3 (b) 2\/5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 98*d + 0 - 1172*d**2 + 1181*d**2 + 1 - 10. Let j be l(-11). Solve 2*y = -j, v + 4*v - 4 = -y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 1. Let r = p - -7. Let v = 1 + -2. What is the nearest to v in 3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/24)\/(19800\/(-7128))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 553 (c) -1955\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -3\/11, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2577 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(21) + (sqrt(21) - sqrt(189)\/(sqrt(9)*2)) - (sqrt(21) - sqrt(189)\/(sqrt(27)\/sqrt(3))))\/(sqrt(24)\/(sqrt(1152)*-1))*6)**2.\nAnswer: 3240*sqrt(7) + 2041209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1311*r**3 - 16*r**2 - 4*r. Let q(a) = -5244*a**3 - 60*a**2 - 15*a. Give 15*c(i) - 4*q(i).\nAnswer: 1311*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5298739 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -47*d**3 - 4*d**2 - 10*d. Let s(z) = 23*z**3 + 2*z**2 + 4*z. What is -2*o(g) - 5*s(g)?\nAnswer: -21*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(63\/(-12)))\/(3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/3192)\/((-4)\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**2 + 13*a**2 + 7*a**2 - 1244*a + 8*a**2 - 45*a**2 in the form q*a**2 + v + n*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/(-5))*(-28)\/(364\/26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 34)*(-42)\/70. Solve 34*w = v*w + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 96 = -y + 741, -v = -2. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186893928 divided by -6\nAnswer: 31148988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**4 - 8615608*q**3 + 34462384*q**2\/3 - 3829152*q = 0. Calculate q.\nAnswer: 0, 2\/3, 717966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 10) + 37 + -36 + 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 - 9825*t**3 + 156663*t**2 - 753123*t + 958146 = 0 for t.\nAnswer: 2, 7, 3259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2871651, -5743129, -8614607, -11486085, -14357563, -17229041?\n\"Answer: -2871478*k - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3*u - 10*u - 1)*(-3 + 5 - 1 - u).\nAnswer: 5*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 49 - (2 + (2 - 1)). Let i = x - 35. Suppose 0 = -l - l + i. Solve -4 = -l*v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/(-20)*2\/3. Sort 3, -5, 1, x.\nAnswer: -5, x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85247\/4 + 21155. Is s not equal to -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-3250)*18\/(-12)*25\/(-30).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 928157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - (sqrt(12) - -2*sqrt(12)*3))*6.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 13*w**2 - 13*w - 36. Determine m(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398871075 to the nearest integer?\nAnswer: 19972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -81989*d**2 + 59*d + 40. Let o be x(40). Round o to the nearest one million.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*-3)*4)\/(-1*sqrt(1000)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 0.4, -2, 17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 3*t**2 - t - 1. Calculate c(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 - 80. Let l = u - 59. Which is bigger: -3\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 0 + 2 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9217056, -18434067, -27651078?\nAnswer: -36868089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.428905788 rounded to two decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 291?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11753741?\nAnswer: 11753741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/106*6\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000022234453 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*t - 8 = 0, -5*d + 10 = 2*t + 3*t. Suppose -d*b + 6 + 54 = 0. Suppose 56*k - 66*k + 50 = 0. What is the greatest common divisor of b and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-18) + 2\/3. Let l = 3 + -2. Let w be 2\/4*-3 - -2. Which is the closest to w? (a) j (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10) - (-36)\/(-495)) + 496\/44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-23)\/((-759)\/22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + l**4 + 3*l**2 + l**2 + (-l**3 - 3*l**2 + 3*l**2)*(3*l - 3*l - 2*l) + 2*l**4 + 0*l**3 + 0*l**3.\nAnswer: 5*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let k be (-1)\/((x - 1) + 3). What is the nearest to 0.4 in 0.2, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 625\/153 - 50\/9. Find the common denominator of i and (13 + (-2120)\/216)\/((-24)\/(-54)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/5 - 256*d**3\/5 - 8444*d**2\/5 - 16128*d\/5 - 7938\/5 = 0. What is d?\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 4, -27 in increasing order.\nAnswer: -27, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 13*p**3 - 9*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 0, 7, 13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1011913 + 0.2.\nAnswer: -1011912.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37578076563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 6. Let i(k) = 11*k**2 - k - 2. Let d be i(q). What is the common denominator of 2\/d*45\/6 and -91\/22?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*p + 88 - 63, -p + 23 = -2*a. Solve 3 = 6*u - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4\/7. What is the nearest to 1 in 0, -3\/5, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -33 (c) 5 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/1)\/((-2)\/(-4)). Let c(b) = b**3 - 5*b**2 + b + 1. Let s be c(5). What are the prime factors of (r\/(-6))\/(s\/(-27))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 32. Let b be q + (-4 - -1) + -1. Find the second derivative of 11*i**2 + b*i**2 - 32*i**2 + 25*i + 11*i**2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124388 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-6))\/((18*6\/(-240))\/(198\/165))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 2*k. Let p(q) be the first derivative of -2*q**3 + 5*q**2\/2 - 2. Let x(v) = 5*h(v) - 2*p(v). Let s(o) = 4*o - o - 4*o. Give s(x(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (-41 + 13 - -40 - (9 + -1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 - i**3 + 3*i**2\/2 - i + 264. What is q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4810300 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7554*d + 15057*d - 174 - 7530*d + d**2 + 14 = 0. Calculate d.\nAnswer: -5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihii when four letters picked without replacement from iiiiihiiiihi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 164. What is the remainder when g is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 - 3 = p, 4*p + 17 = -4230*y + 4227*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.953421 - -0.1828823?\nAnswer: -3.7705387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 8. Let t be g(6). Suppose 76 = 4*m + 8*x - 4*x, 2*m = t*x + 14. Suppose 0 = 4*p + 2 - 34. Calculate the remainder when m is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/(-4)*8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1856 + 1860. Let m(z) = 18*z - 68. Let d be m(a). Determine y, given that -5\/4*y**2 - 1\/4*y**5 + 5\/4*y**3 - y + 1 + 1\/4*y**d = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 312.209kg?\nAnswer: 0.312209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((26\/(-39))\/(6\/(-3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 2, b: 1, l: 1, h: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - q)*(-2*q**2 + q**2 - q**2) + 16*q**3 - 24*q**3 + 13*q**3 + 23*q**3 - 97*q + 97*q to the form m*q**3 + i*q + b*q**2 + z and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264125763 by -264125763.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 1\/3*o**3 - o + 39 + 0*o**2. Let a(d) = -8*d**2 + 2*d + 7. Give a(i) + 6*k(i).\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47146, 7, 5, 2 in decreasing order.\nAnswer: 7, 5, 2, -47146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:29 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 417.\nAnswer: -4, 0.5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 734253?\nAnswer: 734225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/5 - 14416*a**2\/5.\nAnswer: -4*a**2*(a + 3604)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:05 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**2\/2 + 63. Let m(r) = 812*r. What is v(m(z))?\nAnswer: -812*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2921856.6 nanoseconds?\nAnswer: 0.00004869761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -13*w - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 143880000 to the nearest one million.\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, -9, -169, -329, -489?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*(b*(b**(-6)\/b)\/b*b)\/b)*b**14*b**(-1\/6)\/(b*b**(-14\/9)) assuming b is positive.\nAnswer: b**(403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 115*p - 75. Which is greater: -18\/247 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1*1*(20 - 18)). Does 6 divide -12*(30\/(-12) + 1 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*x + 4978 = -3420 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3 + -8?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 9 + 1. Sort 3, 4, -3, l in ascending order.\nAnswer: l, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000121002002 (base 3) to base 7\nAnswer: 55516454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**2 + 2*g + 2. Let o be n(-6). Let f = -254 + o. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 0, -8, -4 in decreasing order.\nAnswer: 15, 3, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l + 762 = -44*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21112321312 (base 4) to base 7.\nAnswer: 26564632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from vvevvytpvjevjvvvevy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80642201.\nAnswer: 80642201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 18. Let d be o(-17). Let i = d - 13. Suppose 0 = 3*n - 5*t - 97, 5*n = -3*t + i + 170. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4163143*c. Let w(g) = -4*g**2. What is w(o(f))?\nAnswer: -69327038553796*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 154*q**2 + 0*q + 4\/3*q**3 + 0 - 1\/24*q**4. Determine a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78)\/(sqrt(12)\/sqrt(4) + sqrt(3)) + sqrt(26)))\/(sqrt(18)\/sqrt(81) + sqrt(36)\/sqrt(2) + sqrt(2)).\nAnswer: 9*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6300 and 53\/2892.\nAnswer: 1518300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 1707\/24) + 1\/8. Let f = 167 + j. Calculate the greatest common factor of 72 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317, -2, 112 in decreasing order.\nAnswer: 112, -2, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3094443 divided by 281313\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -62. Let b be (771*-1)\/((-6)\/200 + x). Round b to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1596 - -1609. Solve h*x + 19 = 45 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -31. Let f be (-70)\/b*(-24)\/(-14). What are the prime factors of 9*(-4)\/f*-5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2109711, 4219423, 6329135?\nAnswer: 8438847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 6 - (28\/(-21))\/(2\/6525)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 35. Suppose 0*x + x - 5*n - 14 = o, -4*x - 28 = n. Let g(p) = 2 + 2*p - 1 + 0*p. Give g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l - 2*l - l + l - l + (4*l - l - l)*(-1 + 2 - 2) + 4*l + 2*l + 0*l)*(0*l - 3*l + l) to the form s + r*l**2 + a*l and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -15, -19, -25, -33, -43?\n\"Answer: -q**2 + q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -185228 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 673373 and 1413.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 26 = -14. Solve -r*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.186954+4\nAnswer: 9.186954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2003240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 364, 786, 1208, 1630?\n\"Answer: 422*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (9 - (-17710)\/21). Let n be (-2)\/(3\/((-7641)\/2)). Let c be ((-6)\/4)\/(3 + n\/b). Round c to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 968864872 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1199, 2595, 3991, 5387?\n\"Answer: 1396*s - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1392)\/912*-19)\/(1*(-1)\/((-2)\/2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*17\/((-663)\/(-52)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 b when four letters picked without replacement from cbabrabbccrcccr.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:15 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -291840, -291397, -290952, -290505, -290056, -289605?\n\"Answer: n**2 + 440*n - 292281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-4) + 0)\/(11\/22). Suppose 5*w = l*x + 5, -4*w + 0*w + 7 = -x. Solve s + w*s + 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -48400.\nAnswer: -48400.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5177, 3297, 1415, -469?\n\"Answer: -s**2 - 1877*s + 7055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*t - 117*t + 228*t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-572) - 172254\/12540?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/6)\/1)\/((-13)\/(-39))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005352918 to six decimal places.\nAnswer: 0.005353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -161.393.\nAnswer: -48.4179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6499234131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h, -2*l + 0*h + 2*h + 24 = 0. Let j be 8\/l + 23 + 1. Let m = 120 + -45. Calculate the greatest common divisor of m and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.9 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*t + 6*t + 18, 0 = -2*g - 4*t - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3)*12\/(-20))\/(357\/1275).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 - 289.8. What is the closest to -12 in s, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.2, 4, -153330 in descending order.\nAnswer: 12, 4, -0.2, -153330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 33 - y**2 - 20\/3*y**3 - 7*y. Differentiate s(a) wrt a.\nAnswer: -40*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 2*l**2 - 2*l**2 + 2*l**4 + 0*l**4 + 0*l**4 + (-6*l**2 + 3*l**2 + l**2)*(l**2 - l**2 - 2*l**2) + 0*l**4 - 4*l**4 + 0*l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1897 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693893, 693831, 693703, 693473, 693105, 692563?\nAnswer: 691811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14789417141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -675 + 5?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 5.8?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.32 and 211.4.\nAnswer: 490.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 223)\/(12*(-2)\/(-16)). Suppose 0 = 3*m + m - i. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1406*y - 6 + 1395*y + 3 + 0)*(-11*y - 20*y + 22*y).\nAnswer: 99*y**2 + 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Let x(y) = y + a*y - 3*y + y - 5. Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:18 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*n - 7, -4*n = 3*g - 3*n - 5. Let c be g\/1 - (2 - -4). Let f(b) = b**2 + 158*b + 616. Let w be f(-4). What is the closest to w in 0.1, c, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/20 or -5050?\nAnswer: -29\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.64 and 18404.07.\nAnswer: 18415.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1007 - 2553 - 105184*f**2 + 91210*f**2 wrt f.\nAnswer: -27948*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418019928?\nAnswer: 2, 3, 41, 424817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h - 62*h = 5*i + 60, 7*h + 3*h + 53 = -7*i - 31 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49\/164 - -2\/41. Let r = 1.6 - 4.6. What is the second smallest value in 0.3, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*6 - ((sqrt(117))**2 + sqrt(13) + -2).\nAnswer: -115 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3430\/13 - -46733\/182. Let o = -29544 - -1181647\/40. What is the common denominator of o and p?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -393*-3*(-2 - 34\/(-18)). What is the tens digit of (-12)\/(-3) + s\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-7)*y\/(y\/y**(1\/13)))\/(y\/(y*y*y**0\/y*y)*y\/y**(-9\/5)) assuming y is positive.\nAnswer: y**(-437\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839704539.\nAnswer: 14083, 130633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-32)*(-15)\/(-12)*(-2208)\/345?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v + 1007 = -2698 + 450 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 7. Let n be m(3). Calculate the highest common factor of 225 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*w + 15 = 80*w, 5*p = 3*w + 1980. Calculate the greatest common factor of p and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6941091?\nAnswer: 3, 449, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 867?\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 660 + -413. Is 1\/4 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.853218kg?\nAnswer: 4853.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1432141110 (base 5) to base 6\nAnswer: 213100314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -384.8 and -3.\nAnswer: -387.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -1. Suppose 0 = 4*n - w + 2 + p, -2*w - 18 = 4*n. Is n*(-6 + 2) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1861+0.0055181\nAnswer: -0.1805819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5103997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-44) - ((-39)\/11)\/3. Let n = -4 + 8. Suppose v = n*v - 3. Are v and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -74)*(-60)\/9. Let d = i - 265. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuaa when four letters picked without replacement from {a: 12, u: 3}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*u*v**3 - u*v**2 + 2*u*v + 208521*u + 38*v**3 + 13*v**2 + 2 wrt v.\nAnswer: 90*u*v - 2*u + 228*v + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/6047047 and 6\/55.\nAnswer: 332587585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -58. Suppose -f*m + 27*m = 20. Let y be 0 - 1 - 36\/m. What is the nearest to 0.2 in 4, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87282 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: Let s be 10\/35*(3 + 1 - -3). Solve -5*m + 2*m = -2*i - 10, s*m + i + 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320 (base 5) to base 2.\nAnswer: -101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:42 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 198 - 2367*j + 103.\nAnswer: -2367*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111331033 (base 4) in base 2?\nAnswer: 10101111101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14026?\nAnswer: 2, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1280 and 2524120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 3037606.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10199\/(-2418) + 115\/30\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 398\nAnswer: -3980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/28391*-58)\/((-1)\/(-55)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -2. Let n = v - -8. Let a = -3 + 8. Sort n, -0.4, a in ascending order.\nAnswer: n, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let r(y) = -y**3 - 3*y**2 + 2 + 4*y + y**q + 5*y**2. Let z be r(4). Solve z*c + c = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.923645 to two decimal places.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*j - 308*j = -75. Put j, -3, 87 in descending order.\nAnswer: 87, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52947.2 and 5?\nAnswer: -264736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 0*x**2 - 6*x**2 + 3*x**2. Let g be j(2). Let r be (g\/2)\/(3\/(-5)). Solve -r = 4*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12802.\nAnswer: 2, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 61*f - 396. Determine i(65).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-19))\/(c\/(c*c**(-1)\/c)) assuming c is positive.\nAnswer: c**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 273 = -277. Factor -7 - 49 - 432*u**k - 144*u + 422*u**2.\nAnswer: -2*(u + 14)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119*(-3)\/7*-1\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttctdcmdcmmmm. Give prob of picking 2 d and 1 m.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6927, -13854, -20781?\n\"Answer: -6927*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*k)*(-4 + 5 + 3)*(-9*k - 17*k + 9*k).\nAnswer: 136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lccclscslglccscssl. Give prob of sequence ss.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 2. Let q be u(6). Let w = 11 - q. Solve -4*h - 5 = -2*i + 1, -w = 5*h - 5*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 16*n + 5. Calculate s(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15382978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 72 - 27. Let f be 2 - 6 - 0 - -18. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -123.33819\nAnswer: -986.70552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 33 = 5*l, l - 5*w + 15 = 3. Suppose 0*x = 4*x + 20. Is x > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9400.601784 to 0 decimal places.\nAnswer: -9401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1096 - -1098. Suppose 2*j + 3*k = 79, j - 41 = k + 6. What is the tens digit of o\/8 + 7469\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -267*c + 57*c**2 + 267*c + (10*c**2 - c**2 + 66*c**2)*(-2 + 2 - 2).\nAnswer: -93*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 276 + -21a3?\nAnswer: -1b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.058 less than 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4926664 to the nearest integer?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3222 - -3226. Which is the closest to -16? (a) -2\/3 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0456 - -168602.\nAnswer: 168602.0456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 - p**2 - 4*p - 5. Let c(x) = -120616 + 5*x**2 + 2*x - 2*x**3 + 120619 - 4*x**2 - x**3. What is -5*c(d) - 3*s(d)?\nAnswer: -3*d**3 - 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2. Let r(x) be the second derivative of 13*x**4\/12 + 3*x - 29. What is c(r(y))?\nAnswer: 507*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/4)\/((-35)\/(-13524))?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 + 10 + 4 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 307260?\nAnswer: 307257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 503492069081.5.\nAnswer: 503492069082.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26089930?\nAnswer: 2, 5, 2608993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 126. Sort -3, t, -28 in descending order.\nAnswer: t, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**2. Let r(g) = 34*g**2. Calculate -2*r(h) + 7*s(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127856 + 55.379.\nAnswer: 127911.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -5*j + 22. Let q be j\/(-6) - (-2)\/12. Solve -10 = q*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, w: 5, f: 2, v: 5}. Give prob of sequence fvw.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let t = 2 - y. Let m(n) be the second derivative of n**5\/20 - n**4\/4 - n**3\/3 + 3*n**2\/2 + n. Calculate m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20722 and 526817?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -222. Suppose 0 = -14*a - 77 + 301. Calculate the highest common factor of m and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -24 + 14 + -21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065738315 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204083293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 25*n**2 + 4*n - 9. Let q(k) = -13*k**2 - 2*k + 5. Let f(i) = -11*q(i) - 6*s(i). Suppose -2*a = a + 5*l + 3, -2*a + 5*l = 2. Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) 2 (c) 4 (d) -1.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 3, 456, -255 in increasing order.\nAnswer: -255, -2, 1, 3, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-4 + -3)**2 + 1 + (sqrt(117) + 1*sqrt(117) + sqrt(117) + sqrt(117))\/sqrt(9) + (2*sqrt(13))**2*6.\nAnswer: 196*sqrt(13) + 13634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62235702.\nAnswer: 2, 3, 37, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 2*u + 4. Let w be r(-4). Let j be 3\/((-24)\/100) - -11. Which is the nearest to 2? (a) j (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394799189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 52 = 6*i + 22, 0 = -2*i - a + 10. Let r(h) = -h**2 + 4*h - 2. Let d be r(2). Suppose -d*x + 75 = 3*x. Solve -4*s + 5*b = -2*s, s + i*b = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**2*d*j*y - 34449*c**2*y - 2*c*d*j - 6*c*d*y - 2*c*j*y - 3*c*y + 56645*j wrt c.\nAnswer: -22*d*j*y - 68898*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 431058.99944 + -431031. Let y = 28 - d. What is y rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 5*k - 85 = 0, k + 19 = -v. What is the units digit of v\/4 + (3 - -145)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 11 + 1)*(-1 - 2 + 1)*(-2*s - 2*s - 5*s) - 1 + 2*s + 1.\nAnswer: -214*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/4)\/((-10)\/(-84))*(-155175)\/372420.\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -351*s**2 + 39*s - 4. Let v(g) = 128*g**2 - 13*g + 1. Let n(u) = -4*c(u) - 11*v(u). Give n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 8980014724.5.\nAnswer: -8980014724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 568*q**3 - q**2 + 970?\nAnswer: 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2803 rounded to one dp?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -302 - -2?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 66?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -155, -422, -795, -1274, -1859, -2550?\nAnswer: -3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.351 + 1.85. Let f = t + 0.001. Let a = -2.1 - f. What is a rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858128 greater than 2858134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 - 368*r + 34910\/19.\nAnswer: 2*(r - 3491)*(r - 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26d6c (base 14) to base 11\nAnswer: -66099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350.6 + 307.2. Round p to the nearest ten.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15*g**2 - 175*g + 481. What is j(10)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 10\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 + -481. Let z be w\/(-18) + 1\/(-3). Suppose -3*r - 6 = -21. Solve -5*y = -5*g - z, 6 + r = -5*g + 3*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1394 or -1403?\nAnswer: -1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmlx when four letters picked without replacement from {l: 5, m: 2, r: 4, y: 1, x: 5, f: 3}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 13 = 3*z - 4*g, 0 = 4*z + g - 1. Let t = -21 - -23. Suppose 12 = -2*u + t*r, 2*u - 2*r + 5*r = 8. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -6*n + 9*n**2 + 0*n**3 + 5\/3*n**4 + 0. What is the derivative of r(c) wrt c?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244311898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29372 is divided by 358.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 36. Let l be (-2604)\/m + 18\/(-30). Suppose -483 = -2*z - l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12214 - 12214 + 14654*n**2 - 7060*n**2 - 7596*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-11)\/(-2)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 424899 + -209378. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 10836*y**2 - 32529*y + 21690.\nAnswer: 3*(y - 2)*(y - 1)*(y + 3615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Let q(l) = 32*l**2 - 1. Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from bjsjsbsbjbw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 35 = -y, 3*y - 32 - 1 = -3*r. Let c be r\/(-33) + 9516\/66. Let g = c + -140. Solve -i - 4*u + 12 + 12 = 0, g*u - 28 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*l + 4218 = -4673 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1661 = 4*w + 1645, 0 = 5*l - w + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10945?\nAnswer: 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 + 1207\/85. Let x(d) = -1 + 15 - w + 5*d. Let n(l) = 7*l. Determine x(n(g)).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + 0 - sqrt(2)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 80 = -13*n. Suppose -16*r = -20*r + n. Calculate the smallest common multiple of 23 and r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 4, d: 2, g: 3, b: 6}. Give prob of picking 2 b.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 + 4*j**2 + 4*j**2)*(-2 + 55 - 3) to the form o + p*j**2 + k*j and give p.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -19. Suppose 0*n = f*n - 80. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206532221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = 28. Solve 4*u = -4*g + s, 3*g + u - 1 = -0*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8\/11)\/o*o**(-18\/5)*((o*(o**6\/o)\/o*o)\/o)\/o**(-40) assuming o is positive.\nAnswer: o**(2182\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18610766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21be25 (base 15) to base 14\nAnswer: -2dc897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - x - x - 50 - 7. Let w be j(-21). Differentiate -s**4 + 0*s**4 + 15 - w*s**4 wrt s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {g: 8, x: 1, f: 1, d: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2332766830 and 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118233724 to three dps.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18756 divided by -6252\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*z - 1, o - 3*z + 2*z - 2 = 0. Is o less than or equal to -14\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let j(c) = -2*c - 11. Let b(i) = -j(i) - 3*r(i). Let k(a) be the second derivative of a**3\/6 + a**2 - 51*a. What is -2*b(y) + 11*k(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1 (c) 1 (d) 3 (e) 138\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 697527, 698014, 698827, 699966, 701431, 703222?\n\"Answer: 163*i**2 - 2*i + 697366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 717.0633ml?\nAnswer: 0.7170633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.3 (b) 3 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 410. Is 10 a factor of 2\/(-14) - j\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37110.948, -4, 3 in descending order.\nAnswer: 37110.948, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4))\/(1\/(-14)). Let v = 279 + 36. Calculate the greatest common divisor of v and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21649?\nAnswer: 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14734 divided by -1?\nAnswer: 14734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12443371 + 46428.8.\nAnswer: 12489799.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -17*n + 10. Let f(z) = 6 - 31*z - n + 26*z. Let v(h) = -11*h + 9. Determine 13*f(i) - 6*v(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x + 73*x**3 + 93*x.\nAnswer: 73*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0768 and -0.5?\nAnswer: 0.4232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose -102*l = -109*l + 35. Solve -r*d + 5*m + 2 = -0*m, 2*d + l*m = 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y*y)**(1\/23)*y**(-1\/31)\/y**23 assuming y is positive.\nAnswer: y**(-180580\/7843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 525*y**3 - 1183*y**2 - 925. Find the second derivative of f(w) wrt w.\nAnswer: 3150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110, 396, 874, 1544, 2406, 3460?\n\"Answer: 96*q**2 - 2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556*q*r**3 + 11430*q*r**2 - 2368*q*r - 162*q - 3*r**3 wrt r?\nAnswer: -3336*q*r + 22860*q - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -1 (c) -4 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8417426, 16834855, 25252284, 33669713, 42087142?\nAnswer: 50504571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in -1\/2, 15\/67, -1\/9, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 3. Let a(k) = -23*k**2 + 7*k**2 + 18*k**2. Give t(a(u)).\nAnswer: 4*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 4*r + 1. Suppose 4 = -3*l - 5*p + 8, p = -l + 2. Determine a(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2375? (a) -0.2 (b) -0.35 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2907, -132, -3, 1\/4, 3\/7, -1?\nAnswer: -2907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*b = 226*b - 5*k + 30, 0 = 6*b + 2*k + 68 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321638 divided by -2.\nAnswer: 160819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23320102 + -3?\nAnswer: 23320033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by (6 - 2)*(-42149)\/(-452)?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101000 + 211002?\nAnswer: 110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -439815, -439990, -440165, -440340, -440515, -440690?\n\"Answer: -175*k - 439640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6827, 6823, 6819, 6815, 6811?\nAnswer: 6807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 30. Let o be l(-14). What are the prime factors of 15\/10 + ((-407)\/o - 1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*p + 110*p + 1174 = j, -4*j = 4*p - 2336. What is the highest common factor of 1357 and p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(2 - 2 + 3*x)*(5 - 10*x - 5)*(0 - 5 + 6) in the form q*x + c*x**2 + p and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 7202*t**2\/7 - 35971*t\/7 + 14394.\nAnswer: -(t - 2)*(t + 7)*(t + 7197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsk when three letters picked without replacement from {s: 5, b: 2, k: 13}.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -191\nAnswer: -76.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1))**30)**(1\/34))**(9\/8) assuming o is positive.\nAnswer: o**(-135\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66133031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3 - -4) + -3. Suppose -k + 7 - 1 = b. Which is smaller: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*204\/540)\/(((-12)\/(-15))\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*1 - (-90)\/(-10). Does 3 divide k\/(6\/(-8)) + 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12826 and 27434.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 35*d - 239. Let w be x(6). Let i(s) = -s**2 - s - 3. Let a(t) = -2*t**2 - 3*t - 1 + 1 - 7. Calculate w*i(f) - 3*a(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f**4*f*f)\/f)\/f**1*f**(1\/11)*f*f**(-12\/13)\/f*f assuming f is positive.\nAnswer: f**(882\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418935 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 10*j**2 + 87*j + 154. Determine h(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2946513*h - 39433115*h + 5432178*h.\nAnswer: -31054424*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 11. Calculate the common denominator of (-49)\/5*(-15)\/g and 53\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 22*w**2 + 6392*w - 44106. What is x(7)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1260 and -103\/260.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23627*o**3 - 11933*o**3 - 11661*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.4. Let p = 10.2 - 14.2. Let s = -1.25 + 6.25. Which is the nearest to -1? (a) s (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + n**2 + n**2 + 4*n**2 as k + h*n + i*n**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejt when three letters picked without replacement from {t: 2, e: 9, j: 6}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(1 + sqrt(33)\/sqrt(3) + 0) - ((sqrt(44) + sqrt(396))*-2)\/(sqrt(192)\/sqrt(3))*5)**2.\nAnswer: 210*sqrt(11) + 2524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59*1 - ((-20)\/(-2) + -22)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 63*j - 196 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 3*i - 5*i)*(2*i + 2*i - 6*i) + 1 - i**2 - 1 + 42*i**2 - 15*i**2 - 17*i**2 + (-i - 2*i + 2*i)*(-1 + 1 - i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 56 + 122*h in the form d*h + u and give d.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 9 + 9*y**2 + 9 + 204*y - 635*y.\nAnswer: -7*y**2 - 431*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + (-3 - -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away -61821?\nAnswer: 61820.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 202. Let j(s) = 7*s + 205. Let q(p) = -5*j(p) + 6*l(p). Let b be q(-26). Solve -6 = b*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670071.9 tonnes in milligrams?\nAnswer: 670071900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 60.51757 years?\nAnswer: 6.051757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-4 + 2)\/(-1). Let k = -30 + 26.6. Let r = k + 6.4. What is the smallest value in r, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31330110010 (base 4) to base 9\nAnswer: 6780537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 56*l = -58*l + 8, 5*k - 2*l + 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/45 - 4\/(-12)) + (-8)\/16?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16\/(-10)*(-14 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**2 - 40599214*d - 11599776.\nAnswer: (d - 5799888)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 12:23 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210502948?\nAnswer: 2, 61, 911, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/25270 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7263179 months?\nAnswer: 0.00143859825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -69, -103, -135, -165, -193?\n\"Answer: q**2 - 39*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 154310 (base 6) to base 10\nAnswer: 15234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238390939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 + 7*c - 1. Give l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 + u + 6. Suppose -7*r = -2*r + 35. Let c(b) = 4*b**3 + b + 5. Calculate r*c(m) + 6*i(m).\nAnswer: 2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 90?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 113 - 193 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 3*f**2 + 3 + 42*f**3 + 59*f**3 + 51*f**3 + 0*f. List the prime factors of o(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24796085 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ott when three letters picked without replacement from ootty.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f63 (base 16) in base 10?\nAnswer: -16227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012 divided by 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 22. Let r be n(20). Let t = 1.25 + 0.25. Let w = -1.7 + t. Which is the closest to w? (a) 3 (b) 2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2527 and 148371.\nAnswer: 1038597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17 = 5. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a00 - 0?\nAnswer: -1a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 525535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19557 is divided by 3110.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/5 - 5*j**3\/3 - 7*j**2\/2 - 44*j. Suppose 6 = -0*q + 3*q. Let m(a) = a**3 - 3*a - 2. Calculate q*o(z) - 7*m(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800\/(-1350)*((-1)\/(-28))\/1*(-28)\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1528, -1525, -1522?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*o - 29263 = 23856 for o.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2793\/45 - 17\/255 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smgmgpmsggm. Give prob of sequence gss.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8006615ml in litres?\nAnswer: 0.0008006615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrlv when four letters picked without replacement from rvrwlwwrrll?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/83, 3, 0.2, -5, 0.5 in descending order.\nAnswer: 3, 0.5, 0.2, 3\/83, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101000?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r - 3. Suppose -5*u - 2*p - p - 19 = 0, 4*u - 3*p + 26 = 0. Let j be h(u). Let f = j + 5. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3*h - 40. Let v = 85 + -77. Let i be z(v). Solve 3 + i = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111011 + -1001111110001000?\nAnswer: -1010001001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2 + 1707*b - 237. What is z(142)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide 896 by -224.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -6 + 4 - -3) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6439.9 + -6440. Which is smaller: 2\/139 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 15*k + 140.\nAnswer: -5*(k - 4)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*v**2 + 3*v**3 + 25*v**3 - 727*v**2 + 1446*v**2.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7371 + -13067?\nAnswer: -22460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, f: 5, n: 1, p: 7, w: 1, u: 1}. Give prob of sequence puo.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1808796 + 1271.\nAnswer: -1807525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 3305*u**2 - 180890*u - 1986600.\nAnswer: -5*(u + 15)*(u + 44)*(u + 602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:18 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-9\/8)))**(-2\/43)*(x*x**(-5\/6))\/x**30)**(1\/19) assuming x is positive.\nAnswer: x**(-15367\/9804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttmm when four letters picked without replacement from {t: 4, m: 5, e: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 791?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/30 + 3*o**2. Let t(y) = 4551*y + 4555*y - 9114*y. Calculate v(t(r)).\nAnswer: 128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/27 - 4\/(-18). Suppose 3*h = -i + 31, 5*i = -4*h + n*h + 29. Calculate the smallest common multiple of 7 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 5*f**2 + 3*f**2 - 4*f**2. Suppose 92 = 3*q + 29. Let a(i) = q*i - 27*i + 15*i. Give w(a(x)).\nAnswer: 243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 2. Let b be w(3). Suppose 0 = -5*r - p - 0 - 2, -8 = b*p. Solve r = 4*u - 9*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k + 7. Let p(t) be the second derivative of -5*t**3\/6 + 3*t**2 + t. Calculate -4*b(i) + 5*p(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4935, -4937, -4939, -4941, -4943, -4945?\nAnswer: -4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1319 - 1329 = -2*t, p + 2*t - 10 = -0*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 924256 to the power of 1\/2, to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -65, -44, -5, 58?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 5*v**2 - 4*v**2 + (0 + 0 - 2*v)*(-3 + 3 + v) + (-5*v + v + 5*v)*(-v - v - 2*v) to b + s*v**2 + w*v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/(z\/z**(2\/13))*(z**(-47)*z)**(-1\/7) assuming z is positive.\nAnswer: z**(4871\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3443 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 17. Let h be q(7). Let u(o) = 3*o**2 - 17*o + 15. Is u(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 16, 33, 66, 121, 204, 321?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -128733 less than or equal to -128735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -6. Let x = n + 37. Factor -28*a**3 + 3*a - 21*a**2 - 20*a**3 + 93*a**3 - 39*a**4 + 12*a**x.\nAnswer: 3*a*(a - 1)**3*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 13*w - 72. Suppose 17 = -4*k + 2*d + 43, -4*k + d + 21 = 0. Suppose 2*r = k*r - r. Solve -5*q + 13 + w = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132113223 (base 4) to base 9\nAnswer: -208566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Suppose 3*h + 3*f = -2*h + r, 2*f = -4*h + 6. Let l be (2\/(-2))\/(1\/(-4)). Solve 2*c - 20 = -2*c + h*n, 3*c - l*n = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 3, j: 3, z: 4, q: 2}. Give prob of sequence zz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44826 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/((100\/(-125))\/((-1)\/5*2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 562, 575, 596, 625?\n\"Answer: 4*c**2 + c + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -13 + 1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.58553t?\nAnswer: 3585530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3 - 11. Suppose -2*l = 4*n - 20, 0*l + 36 = 5*l - 4*n. Let f = 11 - l. Solve -5*o - 13 = u - g, -13 = -f*o + 4*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 71.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.1027 millennia in centuries?\nAnswer: 9881.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/d**8)**(-28\/5) assuming d is positive.\nAnswer: d**(1036\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/1571 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088*h = -1031*h - 6270. Calculate the lowest common multiple of h and 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2387 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166892899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 15*x - 9. Let m be s(14). Find the second derivative of 11*o**5 - o + 6*o - 9*o**m wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/44 - 402\/(-33))\/(12315\/(-1642))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -62. Calculate the remainder when 40 is divided by 21*(-1)\/(-2)*l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 = -4*y. Suppose y*u + 2*h = 27, 0*u = -2*u + 2*h + 28. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.6 - -15.69. What is the third smallest value in 0.02, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + 4288\/12. Let d = 4\/20601 + 30345257\/82404. Let v = c - d. Find the common denominator of 97\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -4 (c) 2 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.899142083196 from -1.9.\nAnswer: -2.799142083196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 18*u - 1.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-14)\/10)*(-330)\/(-99).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 7 - 287. Which is smaller: -55 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*x - 38. What is the remainder when 18 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20053 + -2906. List the prime factors of f.\nAnswer: 13, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820902565?\nAnswer: 3, 5, 1109, 349919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -2\/3 (c) -2\/7 (d) -0.1 (e) -2\/91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d**3 - 3*d**2 + 3*d + 12. Let o(j) = -j**3 - j**2 + j + 1. Let r(p) = -3*o(p) + u(p). What is the first derivative of r(i) wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abhhhabhaabh. What is prob of sequence abha?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 5 + 52902*s.\nAnswer: 52902*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 110468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/50*28\/35)\/((-3)\/(-135)*-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/180 and -13\/3524688.\nAnswer: 17623440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -5*f + g = -23. Suppose -2*v = 3*v + n - 33, -f*n = v - 21. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 8*i + 2798. Determine b(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*b + 2592*b + 74400 = 0 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1*(-15)\/20. Which is the biggest value? (a) z (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*d - d**2 - 68*d - 150 + 27*d + 22*d - 1 in the form b*d**2 + m + y*d and give m.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-8\/9)\/((w*w**(-4)\/w*w*w*w)\/w**(-1\/2)) assuming w is positive.\nAnswer: w**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2633*z**2 + 63*z**3 + 2 - 2 + 2681*z**2 wrt z.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 15438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoyhkohhhhhkk. Give prob of picking 1 h and 1 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/5 (b) 0.2 (c) -8 (d) -1913 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2) + -4 + 5. Suppose -5*u = 2*c + 13, 0 = 6*u - a*u + 20. Solve c*n - 5 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 6872 - 6878 - 15067*n + 15067*n.\nAnswer: -2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 4b75cc?\nAnswer: 4b75ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3420*g + 1105*g + 49579 = -77121 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*s + 24 = 2*r, 0 = r - 3*s + 3. Suppose r + 1 = -l - 5*d, 5*d = 3*l + 21. Let y = -6 - l. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25042, -50082, -75124, -100168?\nAnswer: -125214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*p**2 - 522*p**2 - 774*p**3 - 309*p**3 + 2*p + 2*p.\nAnswer: -1083*p**3 + 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 17*i - 14. What is the remainder when 78 is divided by k(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.43, -7, 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and 17\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98713 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1016274742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -13370*i**3 - 1324791*i**2 - 5*i**5 - 1020425 - 565*i**4 + 1192981*i**2 - 295157*i - 299948*i = 0.\nAnswer: -85, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 500 - 175. Suppose 95 = 10*i - m. Calculate the remainder when 81 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 815*c*z**3 - 355*c*z + 18*z**3 + 2*z**2 wrt z.\nAnswer: 4890*c + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806893408?\nAnswer: 2, 59, 957041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1.16, -2\/3, -1\/13, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2941759156.\nAnswer: 2, 7, 23, 251, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/210)\/((9\/12)\/1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j + 0 - j**2 - 12 - 2*j**2 + 0*j**2 + 2*j**2. What is o(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -38\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 - 24*j + 26*j - 9*j**2 + 74 as q*j**2 + h*j + c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {o: 1, b: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 3*v + 0*v - 2*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33556824?\nAnswer: 2, 3, 7, 139, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/2 + 6259*p - 6468455\/2 = 0.\nAnswer: -13015, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 15*z - 103. Let s(k) = k**2 - 8*k + 51. Let a(m) = 5*s(m) + 2*w(m). Let l be a(-20). Let j = l - -217. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v + 65. Let r be l(-16). Find the first derivative of -2*d + 4*d - 3*d + 8*d + r + 14*d wrt d.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -845a (base 11) to base 7.\nAnswer: -44434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/73))\/s)\/s**13 assuming s is positive.\nAnswer: s**(-947\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - x = -17, -5*x + 17 - 3 = -3*r + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755205 and 4125?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 5. Let i(b) = 1. Let a(z) = 5*i(z) - q(z). Let c be a(-1). Solve 0 = -o + 3*o + c*g - 2, -3*o - 3*g = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 11*m = -4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 3. Suppose 0 = -5*k + 4*p + 7 + 8, 4*p + 16 = 4*k. Let d(f) = f + 1. Let s(a) = k*w(a) + 2*d(a). Let u be s(-16). Which is smaller: u or 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 318*t + 26182. Determine q(-82).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j**3 + 0*j**4 + 0*j**4 - 2 + 1 + 2*j**4 as h + z*j + v*j**3 + n*j**4 + o*j**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 26505 = 29*g. Suppose 2*u + g = 21*u. List the prime factors of u.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/13248 and -15\/337088?\nAnswer: 3033792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (56432*x + 153*x**4 - 56432*x)*(5 - 2 - 1)*(0 - 6 + 4) as w + n*x + a*x**4 + d*x**3 + v*x**2 and give a.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let h = r - 2. Let b(i) = -17*i + 3. Let y be b(0). Solve f = -y*c - 11, -h*f - 23 = 2*f + 5*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-5))\/(-16))\/((-32)\/(-20))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2668.2 - 275.2. Let z = 2392.9998939 - s. What is z rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*x = -6, -8*x = d - 7*x - 2. Find n such that 0 + 2\/3*n + 2\/3*n**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*d - 1583 = 577, 5*r = -4*d + 5395. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 2) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from unkkunkuuknuwunkkw.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*15\/345*23*1\/(-11)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143\/155 - 10\/31. Let g = 23.7 - 24. Which is the second smallest value? (a) g (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*u - 129, -2*u = -3*z + 3*u + 192. Let n = z + -65. Let q(h) = 4*h - 5. Let j be q(n). Calculate the highest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75182 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385000 rounded to the nearest ten thousand?\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 144. Let n(c) = -18*c - 1 + l*c - 14*c - 17*c. Give n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) - 162\/8. Let g be (-2)\/4 - c\/8. Let x(m) = 15*m**2 - 4*m + 2. What are the prime factors of x(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 123*m + 1153. Give a(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = r + 35, 5*r = 3*y - 56 - 143. Find the common denominator of 1 - (0 + (-164)\/(-18)) and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + x**2 - x**2 + (2*x**4 + x**4 - 4*x**4)*(x + 2*x - x) - 2*x**5 + 6*x**5 - x**5.\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 116 = 2*w, -w - 3*m + 58 = -0*w. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**3 - 64*y**2 - 132*y - 56.\nAnswer: 4*(y - 7)*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*i = -255*i + 360. Solve -5*v - 3*z + 4 = 0, 18*v = 16*v + 3*z + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-9)\/(-12)*6. Let p be (-1)\/(1\/4) + 1. What is the units digit of (-7)\/p - 6\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-99))\/((-121)\/9801)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -82?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -111\/811031 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 5*x + 3 - 78*x**2 + 2*x**3.\nAnswer: 2*x**3 - 78*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 7015590*r - 8203083841350.\nAnswer: -3*(r + 2338530)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73180800 by -120.\nAnswer: -609840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and 139\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.525494 and 0.01?\nAnswer: 1.515494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/(-11) - 2\/11. Is 4\/(g\/77)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 164, -4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402372605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029786436 rounded to seven dps?\nAnswer: 0.0002979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 37446 + 37446.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 - (15 + (-48)\/6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (24 - 18) + -12 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-12))\/((-8)\/(-78))*-12. What is the hundreds digit of (h - 68)*158\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - (1 - 0)) + 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 421654626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904035 divided by -54401?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - a**2 + a**2)*(-13 + 15 + 29).\nAnswer: 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -384, -3, -5, 3, 43.\nAnswer: -384, -5, -3, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(7 + 17 - 8)*(v + 3 - 3).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*h = 66, -7*d + 47*h - 183 = 46*h - 75 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361138 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 15*b**2 + b - 7. Determine n(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*2\/3 + 3. Let i = 2170 + -6509\/3. What is the nearest to b in 1\/4, 0.04, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (853*h + 723*h + 98*h)*(-1 + 4 + 4).\nAnswer: 11718*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 13*k**3 + 44*k**3 - 21*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677923250.\nAnswer: 2, 5, 37, 83, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((152\/19)\/(-1))*6\/(-17).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from {k: 5, c: 2, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-231)\/(-11)))\/((-3)\/(-126))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i, 2*d + i - 4 = 3. Suppose -3*y - 3*g - 9 = 0, d*g - 6 + 0 = 4*y. Which is the closest to -1? (a) 3\/4 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - k + 23 = 0, -3*k = -587370*o + 587369*o - 69 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.066 and 47391?\nAnswer: 47391.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -75*b**2 - 1. Let u(z) = -224*z**2 - 3. Let h(v) = 17*c(v) - 6*u(v). Suppose -5*o - 8*o - 68*o = -162. Is h(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -981254\nAnswer: -981252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0 + 10\/(-7). Let o be -1 - -1 - 4*219\/348. Let u = o - -1\/58. Which is the nearest to -1? (a) u (b) x (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 7, l: 1, s: 1}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144989599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2406*y - 281514. Calculate f(117).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -746 (base 8) to base 13\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 347?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/(-999) - 2434952\/216. What is u rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 9:09 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4061*p**5*s**2 - 308*p**5*s - 4*p*s**2 + 2*p*s - 2*p + 2*s**2 - 31*s + 1942 wrt p.\nAnswer: 81220*p**3*s**2 - 6160*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(252) + -3)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 5*r**2 + 3*r. Let d be x(3). Suppose 3*t + 3*t = -6. Calculate the common denominator of -7\/11 and ((-62)\/d)\/(t\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6308823\/16 + -394303. Let u be (4\/(-10))\/(3\/15). Calculate the common denominator of (102\/8)\/1 - u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006532 to 7 dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1626 + -3319\/2. Calculate the common denominator of 49\/30 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453838?\nAnswer: 2, 7, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4952.057g to milligrams.\nAnswer: 4952057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53991 + 54073.259. Let k = c + -82. Round k to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, c: 2, y: 1, u: 1, v: 2}. Give prob of picking 1 m, 1 y, and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2351 + 36. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 + 5*j**3\/3 + 3*j**2 + 5*j + 242. Determine y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**32)**(-2\/13)\/(h*((h*h**(-1)\/h*h)\/h)\/h*h**23))**(5\/12) assuming h is positive.\nAnswer: h**(-875\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l + 0*l)*(3 - 3 + 4)*(35*l - 35*l - 2*l**2).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shyhkkhhhybysyhyhhhh. Give prob of picking 1 b, 1 h, 1 y, and 1 s.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = 0, 4*n - n = -3*t + 3. Let j = 5 - n. Solve 5 = 5*d - 5*w - j, 0 = 2*d - 5*w + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1797.7 - -1798.2. What is the third biggest value in q, -5\/3, -0.4, -64?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + 3*d)*(-2 + 1 - 1)*(31*d - 67*d - 5 + 31*d) to m*d**2 + b*d + w and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 7008 = 12*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*w**2 - 71*w + 71*w)*(-w + 0 + 0) - 3*w**3 - 2*w**3 + 6*w**3 - 1 + 1 + 4*w**3 - 2*w**3 + 5*w**3 + 0*w**3 as z + h*w**2 + y*w**3 + r*w and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - ((10 - 1 - (267 + -253)) + (-1 - -3)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 501.08 + 0.080464\nAnswer: 501.160464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1734 + 3?\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {w: 2, d: 1, g: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -105*x + 1757. Calculate the remainder when 180 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/2 - 5787*m**4\/2 + 1208460*m**3 + 184785600*m**2 + 1223294976*m - 1409286144 = 0. What is m?\nAnswer: -112, -8, 1, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4666404*g**4 - 1772520*g**2.\nAnswer: -111993696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -4, -10261, -1\/230, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 8. Suppose -9*n + y*n = -40. Suppose -d = -0*d - n. Solve 3*m + 4*o = -d, -2*o = 4*m - o + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3.772\nAnswer: -11.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 54*i**2 + 0*i + 0*i - 103*i**2 + 47*i**2. Let y(x) = 9*x**2 + 3*x. Let o(s) = 3*s**2 + s. Let f(p) = -8*o(p) + 3*y(p). Give -3*f(u) - 4*m(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) 0 (c) 1\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d + 1. Let f be v(-1). Suppose -f - 16 = -h. Suppose 4*g - 12 = h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4466791636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178990 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 530 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/2*4\/10. Let k = 26 - 27. Let w = k - b. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481291768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 737, 920, 1227, 1658, 2213?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/1567 - -15823\/269524. Calculate the common denominator of w and -13*102\/3315 - 42\/20.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59859.738 minutes in days?\nAnswer: 41.5692625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 16 + (-1 - 4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.4, 1\/19, 2 in ascending order.\nAnswer: -0.4, -0.1, 1\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10995949 or 10995946?\nAnswer: 10995946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5603*y = -203783 - 194030 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33826426.6 to the nearest one thousand.\nAnswer: -33826000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 - (-3)\/1. Suppose -5*v + 24 = 9. Calculate the remainder when (-3)\/(6*y\/(-80)) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28826734 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c**2\/5 + 116*c + 384\/5 = 0. What is c?\nAnswer: -96, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*h - 54*h = 70. Solve -3*g - h - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59032 = 27*t - 74*t. What is the smallest common multiple of t and 28?\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 divided by 4?\nAnswer: -333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/7)\/1)\/(18495\/(-17262))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n - 15 + 15 = 0. Solve 4*z + 4*s = 0, n = -2*s + 5 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 19 - 73. Suppose 57*n = 76 + 38. Suppose -4*g + p = -n*x, -x + 10 = 3*g - 6. What is the least common multiple of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + v - 26. Let m(d) = 2*d**3 + 4*d**2 + 3*d + 1. Let q be m(-2). Determine a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -20*c**2 - 354*c + 113. Let a be u(-18). Solve r + 9 = -m, -4*r - 56 = a*m - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and 4185?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -29266*s**2. Let y(o) = 94*o**2. Calculate k(y(x)).\nAnswer: -258594376*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 1020.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 36*f + 111. Let z be q(-3). Let b be (4 - 3)\/((-2)\/(-118)). Differentiate -b*m**3 - 25 + 9 + 40*m**z with respect to m.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, e: 3}. Give prob of sequence ee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1 = -d, -6*d - 4 = -2*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5118342 to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39714032 and 2594384?\nAnswer: 516282416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -63*r**2 - 5*r - 5. Let d(j) = -188*j**2 - 16*j - 16. Determine -16*b(a) + 5*d(a).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*y - 5*z, -40 = -2*y - 51*z + 52*z. What is the smallest common multiple of y and 876?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (7 + (-11 - -33)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12886549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9320219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 213*p - 862. Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17639, 0.53, -4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*z + 288 - 1 = 0, -a = -5*z + 63. Let f = 4 + a. Is (-13887)\/f - (-2)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1776.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30911488 is divided by 30911478?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628.7997l in millilitres?\nAnswer: 628799.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 387, -15, -3, 15, -5 in descending order.\nAnswer: 387, 15, 0, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 100 (b) 29\/3 (c) -9\/4 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5) + 6\/(-15). Let x be (i + -2 + 1)*-7. Suppose -2*d - x = -4*o, 2*d = 4*o - 2*o - 8. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264764915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose -m*i + i = -9. Let w be ((-4)\/6)\/((-3)\/i). Solve -h + o = -4 + 2, 0 = -5*h + w*o + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 28. Let x(k) = -k**3 + 6*k**2 + k + 15. What is the units digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 6. Let j(t) = -t**2 + 8*t + 4. Is 8 a factor of j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18745452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 139*c**2 + 1114*c - 13443. Determine o(146).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4454233 is divided by 6085.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 7*f**3 - 26 + f**3 + 10.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4927 - -9107. Calculate the highest common factor of o and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 834? (a) 2 (b) -0.4 (c) -2 (d) -1\/2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199462)\/24244 + 468\/99 + -8.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtt when three letters picked without replacement from qqtqttttqttqttttqt.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = 231*t - 224*t. Is 2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from guxgxxxugxu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2028*o - 97. Is j(2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 2*r**2 - 19 - 16.\nAnswer: 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -21. Suppose -c + 3 = d + 2*c, 0 = 5*d + 3*c - n. Let b be (-2 - -6) + d + -7. Solve 5*m + b - 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*b - 12*b - 5*b + 188*b to the form n*b + u and give n.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 472168.5ml?\nAnswer: 472.1685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -45. What is the fourth smallest value in -4\/5, 0.1, -1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 11\/(-9))\/(4\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(308) + sqrt(308)*1) + sqrt(308) + (sqrt(308) - -2*sqrt(308)*-6) + sqrt(308))\/((sqrt(84)\/sqrt(4)*1)\/(5*sqrt(9)\/sqrt(3))).\nAnswer: -70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 - d**2\/2 - 2*d + 3. Let b be s(2). Solve -2*q + 4 + b = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.205319 and -187.\nAnswer: 225.394653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 23 = 3*w, -2*w + 4*w = -2*o - 22. Is 37 a factor of 85*(12\/9)\/(o\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - -1. Suppose 6 = b*m - 105*m. What is the nearest to 2\/3 in 0.034, m, -0.4?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/8 or 6?\nAnswer: 47\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 173.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + h - 4)*(69 - h**2 + 3*h - 69)*(-6322 + 218*h + 6322).\nAnswer: -218*h**4 + 654*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2317914482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14710849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*g - 3*f**3*g + 2165*f**2*g + 81*f*g - 22*g wrt f?\nAnswer: 12*f**2*g - 18*f*g + 4330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1435.383mm?\nAnswer: 143.5383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*u = 120, 4*t - 2*u + 11 = 101. Suppose -t*r - 72696 + 257455 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9456804*u**3 + 13427969*u**2?\nAnswer: 56740824","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 (base 11) in base 6?\nAnswer: -4353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37783773 to the power of 1\/2, to the nearest integer?\nAnswer: 6147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-116)*(-152)\/(-874)*23.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**(-49)\/(((y**(-7)\/y)\/y)\/(y\/y**(-2\/7))))\/((y*y\/(y*y\/y**(-9))*y)\/y**(-9)*((y*y*y**(-6\/11))\/y)\/(y**3\/y)) assuming y is positive.\nAnswer: y**(-5044\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h)*(0*h**2 + h**2 + h**2)*(-13 + 1 - 5)*((-5 + 1 + 3)*(2 + 2 - 1) - 10 + 8 - 3).\nAnswer: -544*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -72. Let v be (2 - 2)*(-13)\/j. Solve 0 = 2*f - v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 757391, 1514431, 2271471, 3028511, 3785551, 4542591?\n\"Answer: 757040*c + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -20, 2, -7 in decreasing order.\nAnswer: 6, 2, -1, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 201650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 515 - 44100?\nAnswer: -43141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - o = o + 17, 4*o = -5*a + 11. Suppose a*r + 2*t = 7, -5*r - 4*t - t = -20. Suppose -s - 1 + 3 = 0. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -261*d**5\/4 + 7*d**4\/6 + 533*d. Find the third derivative of m(c) wrt c.\nAnswer: -7830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8\/((v*v*v**(-11))\/v)*((v**(-11)\/v)\/v*v)**(3\/11) assuming v is positive.\nAnswer: v**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 47. Let d be u(-9). What is the highest common factor of d and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608451266 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 1. Let x(u) = 2*u**2 - 20*u + 64. Let i(z) = -3*n(z) - x(z). Let q be i(-23). Solve 0 = q*g - 15 + 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 3*z**2 + 3*z. Let o be i(-4). Suppose v + 2 = 4*h - 14, -5*v + o = h. What is the second derivative of 5*g + g**4 + 0*g**h - 7*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f + 3. Let z(n) = -2*n - 2. Calculate l(q) - 5*z(q).\nAnswer: 2*q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*u = -101*u + 283*u - 3481332. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1280 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**3\/3 + 60*t**2 - 1821*t - 38. Let x(s) = s**2 - 60*s + 909. Let z(j) = 3*u(j) + 7*x(j). Factor z(d).\nAnswer: (d - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.606 rounded to one dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((6*sqrt(168)*1 - sqrt(168)) + sqrt(168))\/(sqrt(360)\/sqrt(10)))\/((sqrt(324)*-4)\/(-3*(sqrt(24) - sqrt(6)))).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m\/(m*m**(-1\/5)*m))**(-27)*m**(-3\/4)*m**7*(m\/m**(-2))**(2\/23) assuming m is positive.\nAnswer: m**(124711\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302885757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54136, -54140, -54142, -54142, -54140, -54136, -54130?\nAnswer: -54122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15)*-5 - 60\/(-25). Which is the second smallest value? (a) -3\/5 (b) 82 (c) 0.8 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 846042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4295 - 4233.02. Let p = -62 + y. What is the third smallest value in -8, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -688 + 669.2. What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57477509*v - 114955015*v + 11*v**2 + 57477506*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*16\/18600*31*(-2)\/(-12)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -48*h**3 + 3*h**2 + 2*h - 1. Let q(d) = -d**2. Let j be q(-1). Does 8 divide i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.31308 months in years?\nAnswer: 22.77609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 47*q**2 - 53*q + 142. Calculate the remainder when k(-48) is divided by 46.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 2*k**5 - k**5 + 0*k**5 + 0*k**5 + 2*k**5 - 6*k**3 + 6*k**3 + 3*k**5 + (3*k - 3*k - k**4)*(-4*k + 3*k + 3*k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (sqrt(1872)*2)**2 + sqrt(1872).\nAnswer: 12*sqrt(13) + 7495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 22*x**2 - 85*x - 38. Give f(-17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 12. Let z be f(-8). Suppose z + 1 = v + a, 5*a - 21 = -v. Let b(x) = 5*x**2 - x. Let c be b(v). Solve -2*i = 2 + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let x(s) = -4*s + 29. Determine n(x(v)).\nAnswer: 16*v - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.16 + -0.16. Let a = v - 16. Let x = -5.9993 - a. Round x to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 2. Let a(w) = 2*w - 1. Suppose 4*h - 27 + 1 = 2*j, -4*h + 27 = -3*j. Suppose -u = 17 - 7. What is h*s(l) + u*a(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w - 4. Let y(f) be the third derivative of -f**4\/12 + f**3\/6 - 54*f**2. What is 3*l(i) + 8*y(i)?\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 - (-2 + -1))) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*r**3 + 1640*r**2 - 13*r**3 - 40*r**3 + 2*r**6 + 0*r**6 + 21*r**3 wrt r?\nAnswer: 240*r**3 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.071 + 0.429. Sort 4, a, -4.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 294*t - 16432. Let y(s) = -2*s**2. Determine j(y(k)).\nAnswer: -588*k**2 - 16432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*v + 5*f, 0*v + f - 3 = v. Suppose -3*q - 5*l - 3 = v, 0 = -4*q + q - l + 9. Calculate the lowest common multiple of 11 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168, -675, -1520, -2703, -4224?\n\"Answer: -169*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 2, t: 3, q: 1, f: 2, j: 4}. What is prob of picking 3 t and 1 q?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30965 and 825.\nAnswer: -30140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 871*g**2 + 62*g - 123. List the prime factors of v(2).\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ijeuiujuiiuiiiui?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18595, -38585, -58575, -78565?\n\"Answer: -19990*g + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -2243, 1 in descending order.\nAnswer: 10, 1, -4, -2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - l - 2)*(184 - 377 - 542)*(0 - 2 + 4) to the form g + o*l and give o.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(1\/3)*w)))**(12\/5)*(w\/(w\/(w**14\/w)))\/w*w\/((w\/w**11)\/w))**(2\/29) assuming w is positive.\nAnswer: w**(296\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**40)**13 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - h - 2. Let c(t) = -t**3 + 5734*t**2 - t - 2. Give -a(x) + c(x).\nAnswer: -2*x**3 + 5732*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 272, 550, 830, 1112, 1396, 1682, 1970?\n\"Answer: c**2 + 275*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -102 in descending order.\nAnswer: 8, 3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/5 - 912897*x - 13693446\/5 = 0.\nAnswer: -4564482, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 120*c - 223. Determine d(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-5.12.\nAnswer: 20.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86135 and 52423.\nAnswer: 645065015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 - 4635*m**3\/2 + 1349059*m**2\/2 - 1841508*m + 1169294 = 0. What is m?\nAnswer: 1, 7\/4, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 + 44*h - 34. What is i(11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 36940659?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2*w + 0*w)*(-2*w**2 + 2*w**2 + w**2) - 1 + 1 - 3*w**3 + w**3 - 2*w**3 + 3*w**3 - 2*w + 0*w**3 + w**2 - 33 + w**3 + 31.\nAnswer: 2*w**3 + w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let f be m - (-3 + (2 - 2)). Calculate the greatest common factor of 30 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 5*l, 3*f = 2*l - 5. Let z be f\/(10\/(-4)) + 1. Suppose 0*c - 23 = -h + z*c, 0 = -3*c - 9. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 - 18*y**4 + 58*y**3 + 114*y**2 - 416*y + 264 = 0.\nAnswer: -11, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58cd (base 15) to base 4.\nAnswer: -10212310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7))**(-21)\/(t*t\/(((t*t*t\/t**(3\/13))\/t)\/t)*t*t*t*t**(2\/17)*t*t*t) assuming t is positive.\nAnswer: t**(26222\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - -1 - -1) + (-37 + 38 - 8) + 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 7. Let o be 228\/(-418) + (-80)\/55. Let j(b) = b**2 - 1. Give o*j(v) + g(v).\nAnswer: -2*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, -20 in increasing order.\nAnswer: -20, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*g + 14. Do g and -2\/261 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10193406 by -4.\nAnswer: -5096703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273894866?\nAnswer: 2, 7, 19563919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73918964*f**3*x**4 + 49*f**3*x + 3*f**3 - 20*f**2 - 2*f*x - 2*f + 149*x**2 wrt x?\nAnswer: 1774055136*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*o = -4*o - 18, 2*h = -5*o - 1. Let i = -3 - h. Solve 5 = -i*t + 5*u, 5*t + 0 = 3*u - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 5*b + 1. Let i be z(-3). Let x be -3 - i - (-2 + -1). Is (-1 - x\/(-1))*6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 528, -1, -35, 3, 1.\nAnswer: -35, -1, 1, 3, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = d, 5*w = 4*d - 3*d + 5. Let s = -264 - -271. Calculate the lowest common multiple of s and w + (8 - 2 - 2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111388263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.682 - 37.182. Which is the nearest to 2\/5? (a) 11 (b) s (c) -7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114094 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + (-2 - -2) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 24 - 36 + 40 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/y*y**(-1\/7)*y**(-2\/5)*y*y**9*y assuming y is positive.\nAnswer: y**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 11. Let q(o) = -85639*o. Give c(q(v)).\nAnswer: -29336153284*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let s(y) = -y**3 + 2*y**2 + 4*y - 5. Let r be s(-4). Let f = 75 - r. Let l(p) = -18*p - 2 + f - 17*p + 38*p. Determine m(l(c)).\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 minus -30?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -2*t, 3*t + 2*v - 23 + 42 = 0. Put 9\/11, 1\/12, t in descending order.\nAnswer: 9\/11, 1\/12, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6189*s**3 + 6188*s**3 - 18*s - 8*s + 35*s.\nAnswer: -s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217 * 2.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllj when four letters picked without replacement from {l: 3, j: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13971*q + 6979*q + 20 - 20 + 6989*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2909575.65883 and 179?\nAnswer: 2909754.65883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (3\/(-4))\/((-218)\/8231680)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-3) - ((-10)\/(-7) - (-332)\/4067*154)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -202 and -204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10996, -10994, -10992, -10990, -10988?\n\"Answer: 2*d - 10998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 5. Let t(j) = -2*j - 2. Let d(q) = -3*t(q) + y(q). Let g(v) = -15*v**2 + 30*v + 30. Give -30*d(z) + g(z).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 425*s**2. Let q(i) be the second derivative of i**4\/4 + 799*i. Calculate b(q(j)).\nAnswer: 3825*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 3*i, -2*x - 2 = 2*i + 2. Suppose -3*w - 1 = 2. Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0 + 0)*(4*o**2 - 4*o**2 - o**2) + (36*o**2 - 36*o**2 + 9*o**3 + o)*(-2*o + 2*o - 2*o) - 1 + 1 + 2*o**4.\nAnswer: -18*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 + n**5\/12 + 7*n**4\/24 - 4*n**3\/3 - 2*n**2. Let m be s(6). Is (-30)\/m - (0 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 5*u + 6. Calculate n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(21029*k - 7677*k + 12164*k + 7468*k + 14038*k) - 2*k + 1 - 1 in the form o + i*k and give i.\nAnswer: -94046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 449 and 818?\nAnswer: 367282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(2\/15). Suppose t*d = 38 + 47. What is the remainder when 65 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-37))\/(c*c*c*c\/(c\/(c*(c\/(c\/(c\/c**(-22))*c)*c)\/c*c)*c)) assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.49 + 69.19. What is the closest to 2\/65 in v, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/6072 + 1349\/2024. Let x = -0.3 - -0.4. Which is the closest to -0.2? (a) i (b) x (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -9*o - 12. Suppose o*p = 2*v - 10, -3*v = 2*p - v - 10. Solve -q + 4*q + 6 = p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -97, -240, -523, -994?\nAnswer: -1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -14. Which is the nearest to 1? (a) o (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 17 + 23. Suppose -3 = -z*q + 12, q - 48 = -5*b. Suppose 720 - 126 = b*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 390 = -3*i, 12*i = 15*i + 3. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3499, 13111, 28835, 50665, 78595?\nAnswer: 112619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 5, t: 12, l: 1}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.1*550.\nAnswer: 12155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 30 = 17*s - 4*s. What is the closest to -5 in -1, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 16876*h**2 + 4*h. Let y(d) = -d**2 - 8*d + 5. Let v be y(-9). Let s be i(v). Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 10) in base 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20561 - 8435 = 282*x for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y + 4*p = -18, 3 = -p. Let f(c) = c**2 + 15*c + 12. Let z be f(-14). Put z, 4, -1, y in increasing order.\nAnswer: z, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5103\/(-73143) + 805\/5375.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 45. Suppose -4*x + 10 = -6. Calculate the remainder when h(x) is divided by -3 - (-3 + -13 + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 14*w = -171, -k + 3*w + 482 = 521 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006753217778 to 7 decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**(-26)*(d\/d**(2\/3))**(-2\/17) assuming d is positive.\nAnswer: d**(-1328\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5990376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539763, 1079363, 1618977, 2158611, 2698271?\nAnswer: 3237963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 - 34*h - 34*h**2 - 4*h**3 + 69*h**3. Let x(p) = -5*p**3 + 3*p**2 + 3*p. Give 6*v(z) + 68*x(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 6, p: 6, t: 2, a: 3, v: 2}. What is prob of picking 2 v and 1 t?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/3 + 2295272600*t\/3 + 263413815415538000\/3.\nAnswer: 5*(t + 229527260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309 + 314. Let u(b) be the third derivative of 5*b**2 + 1\/2*b**4 + 0 + 0*b - 1\/30*b**y - 3*b**3. Factor u(k).\nAnswer: -2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11839*g - 4321255. What is d(365)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*x + 1738 = -350*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945 and 33.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 0.47. Let z = -7 + 3. Which is the biggest value? (a) w (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1442503\/10032 - 2301\/16. Let j = y - 2798\/24453. Calculate the common denominator of j and 87\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*-1*45. Let m = l - 34. Let p = -14 - m. Solve -4*u - 15 = 5*q, -u + 5*u - p*q = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.153? (a) -0.02 (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55750.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40274 or -5\/158?\nAnswer: -5\/158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5454286351 to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224467140 is divided by 28058391.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 72a769?\nAnswer: -72a770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16820 + 27938. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:27 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k + 8. Suppose -k*u = 9 - 186. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5030*n**3 - 2585*n?\nAnswer: -30180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 + -1903?\nAnswer: -1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 403 = -3*b + 536 - 404, -b - 338 = 3*b - 5*k for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044324747 to 7 decimal places.\nAnswer: -0.0004432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 4. Let r = -491 + 492. Let s be 34*(-2 - (-10)\/4). Suppose -4*h - s = 3*x, 0*h + h = -4*x - r. Give j(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 57, 36, -9, -84, -195, -348, -549?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 + 9 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 10*h + 2. Let a(s) = 4*s**2 - 11*s + 2. Let j(x) = 4*a(x) - 5*w(x). Let m be j(-7). Calculate the greatest common divisor of m and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*l = -71 - 145, 4*l = -4*w + 144. Suppose 11*g + 228 = 14*g. Calculate the remainder when g is divided by w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 6) - (2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17601\/10544 + 12\/659. Let b be (86\/1)\/1 - -3. What is the common denominator of b\/(-18) + (-3)\/(-3) and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 117*n**3 - n**2 - 1. Suppose d = -4*d + 5. Let f be k(d). Suppose 115 = -s - f. Round s to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from {o: 1, m: 3, c: 2, v: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:00 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4583, 9163, 13743, 18323?\n\"Answer: 4580*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*n - 55, -u - 2*n = 2*u + 8. What is the tens digit of u*2*(3 - (3 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*d - 2*i, -19 = 2*d - 12*i + 11*i. Let x(m) = 313*m - m**3 - 313*m - 7*m**2 - 9. Give x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1194, 1187, 1172, 1149, 1118?\n\"Answer: -4*u**2 + 5*u + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16725 and 257407785.\nAnswer: 1287038925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/15 + 2)*(-41250)\/222750.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 144. Suppose 48 = -21*l + 24*l. Calculate the greatest common divisor of l and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/17 in -0.102, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225109 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/7 and 7 - 161\/21 - (-34)\/(-138).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*h - 3*h + 0*h)*(-4 + 7 + 2) - 65*h - 26*h + 185*h)*(1 + 1 - 2*h + 1 - 5).\nAnswer: -208*h**2 - 208*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(1\/3))*i*(i*(i\/i**1)\/i)\/i)**(20\/3) assuming i is positive.\nAnswer: i**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b + 3. Suppose 2*s - 68 = b. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*i - 3 - 2 = 0, 2*i = -p + 4. Let q(d) = -3*d**3 + 9*d**2 + d + 3. Let k be q(3). Find the first derivative of -c + k - c - 4 - p wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/w*w*(w\/(w**(1\/10)*w))\/w assuming w is positive.\nAnswer: w**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2210834522 and -8.6.\nAnswer: -2210834530.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 2*g - 3*g)*(-g + g - g) + (6*g - 8*g + 8*g)*(-g - g + 3*g) to s*g**2 + k + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 900*f + 590398. Determine k(-656).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 21*b + 628 = 2*f, 471 = 3*b + f. Solve b*a = 187*a + 150 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 5. Let g be s(-4). Let t(w) = -w. Let k be t(g). Let f(c) = c**2 + 8*c + 6. Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:15 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379812 a multiple of 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12712 is divided by 932.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 90785.68 and -103006.\nAnswer: -12220.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66807\/46 or -1451?\nAnswer: -66807\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1272.5, -0.1, -1\/5, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 6262*l + 12520.\nAnswer: (l + 2)*(l + 6260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792678683 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497 (base 10) to base 15.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Suppose h + 102 = -3*l, -5*l + 2*h - 200 = -41. Let j = 199\/6 + l. Suppose -3 = 6*t - 3*t. What is the second smallest value in 1\/11, j, t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84, 7\/64, 0.76?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 - 5780*y**3 + 2283296*y**2 - 137809168*y + 135531648 = 0?\nAnswer: 1, 72, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164531112 take away -1?\nAnswer: 0.835468888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3896550 by -129885.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by -118?\nAnswer: 237\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 3*z**2 + z. Let p be v(3). Solve p*d - 12 = 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1037*b + 17632. Calculate j(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/637*70*8\/64\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 2*p)*(-26*p**4 + 16*p**4 - 79*p**4).\nAnswer: 89*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29984\/51 or -588?\nAnswer: -29984\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512209103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -15*l. Let v(j) = -1082*j**2. Calculate m(v(u)).\nAnswer: 16230*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 3533.1.\nAnswer: 3537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2779 - 2738. What is the second smallest value in b, 0.1, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41104902, 41104903, 41104904, 41104905, 41104906, 41104907?\n\"Answer: f + 41104901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6133493 + 2.\nAnswer: -6133491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 11\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -147?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303977 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 11*d - 17. Let g = -22 + 25. Let b = g - 10. Let p be k(b). Solve 2*t + 6 = 0, -t = 2*c + p + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1463 + 3965 = 634*h - 41*h - 4021 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1939, -3, 4 in decreasing order.\nAnswer: 4, -3, -1939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5740063 by -24.\nAnswer: -5740063\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.75 + -0.75. Let r = -3.97 - -4.47. Let i = 0 + -0.5. Which is the nearest to j? (a) i (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-8))\/(0 + -1). Let a = -85\/8 + c. Calculate the common denominator of 67\/4 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70776.45 weeks to minutes.\nAnswer: 713426616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136\/2 + 2*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, j: 2, w: 2}. Give prob of sequence wwjj.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 127. Suppose -29*i = -j*i - 1496. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16250 and 141450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/754 and -62\/39.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508319 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 378*v**2 + 73*v - 2. Let c(u) = -378*u**2 - 65*u + 1. Let h(o) = 2*c(o) + 3*s(o). Find the second derivative of h(f) wrt f.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000000011010000101101 + 1000?\nAnswer: -1010000000011010000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 smaller than 12.76319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2841443390 to the nearest integer?\nAnswer: 53305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 1. Let d = -0.1041 + 3.4041. Sort m, d, -4.\nAnswer: -4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230781*s**3 + 923995*s**3 - 230777*s**3 - 230775*s**3 - 4 + 4 - 231663*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 - -209 - (4 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 22 = -4*j + l, -2 = -2*j + 2*l. Suppose -866 = m + 4*u, -j*m + 6*u - 2*u = 3544. Let p = -151 - m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(1*sqrt(19)*-6 - (sqrt(19) + 2*sqrt(19)*6)))**2.\nAnswer: -137180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 - (-3 - -2)) - (118 + -157)) + 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 66*o**2 - 66*o - 8916. Calculate h(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11 - 6 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + z = -117, b + 4*z + 76 = 2*b. Which is bigger: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 6. Is 35 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -198*x**2 + x + 1. Let f(s) = s**2 - s - 2. What is -f(i) - l(i)?\nAnswer: 197*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1322 - -31?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*23\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 times -4?\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 7. Let k(n) be the second derivative of -n**4\/12 + 2*n**2 + 3*n. Let x be k(-3). Let h(a) = 5*a + 6. Give x*h(c) + 4*s(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 27. Suppose -4*k - b*x + 2 = 0, 3*x + 7 = k - 2*k. Let q(d) = 0*d - 2*d - k + 2. Let u(r) = -3*r. Calculate q(u(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1069*m**2. Let h(l) = 31*l - 13. Calculate h(w(r)).\nAnswer: -33139*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*146064\/(-1399780).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*f - 24, 4*l + 0*f = 5*f - 3. Suppose -l*u + 5*k + 347 = -639, -2*u + 650 = 4*k. What is the remainder when u is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-56)*(2\/(-6))\/((-10)\/(-15))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 + 9*u - 17. Let h be w(3). Calculate the highest common divisor of 130 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282150370?\nAnswer: 2, 5, 28215037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2. Let u(d) be the first derivative of 0*d + 20 + 5\/2*d**2. Calculate u(a(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2447a47 - 35?\nAnswer: -2447a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/108*-6)\/(-8)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -4*c, -c - 3*f = 2*c - 12. Let g = 1803 + -1801. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -31 + -3 - (-5 - (5 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10715*n**2 - 363 - 4*n + 327 + 4*n - 10780*n**2 to k*n + i*n**2 + b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/114 and 115\/282?\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + b + 14, 6*t - 11*t - 6 = 4*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/126*-15)\/(16\/(-112))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1476)\/15)\/(10\/(-75)). Let c = 2606 + u. Let o = 60241\/18 - c. Calculate the common denominator of o and -28\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*o = 0, 20 = -5*l + 2*o - 10. Let f(n) = n**2 + 3*n + 2. Let y be f(l). Factor 8*a**2 + 4*a + a + y*a**3 - 3*a.\nAnswer: 2*a*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 128. Let f = 142.03 - s. Which is bigger: -0.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/27 - -1 - (-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - 23\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p - 52. Let n be f(0). Let a = n - 10. Let m = a + 127. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 19 = -4*p + 7, 0 = -p - 3*b + 9. Suppose -1236 = -p*y - 36. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -352, -350, -348, -346?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, -59, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 16. Let i(l) = -7*l + 4. Let x be i(b). Suppose -3 = -3*a - x. Which is bigger: -13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*n - 3*g**3 - 322*g**2*n - 4*g**2 + 2*g*n + 3*g + 172*n + 3 wrt g.\nAnswer: -12*g*n - 18*g - 644*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z + 9. Let u(l) = l. Let g(x) be the third derivative of x**4\/8 - x**3\/3 - 4*x**2. Let s(i) = g(i) - 6*u(i). Determine 9*s(j) + 2*w(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 114872 - 16358. Let u be (-150576)\/(-15) + ((-12)\/(-15))\/(-2). Suppose -u + k = -m. What is m rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043179013 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:45 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 336492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -210020100111?\nAnswer: 210020100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399\/684*40\/490?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*y - 59886*f**3 + 3625*f*y wrt y.\nAnswer: 2*f**3 + 3625*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12139 = -8*b + 4*b, b - 3034 = 2*c. Let z = b - 27373\/9. Find the common denominator of z and -13\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 204. Let n = f + -132.1. Let k = -5 - -1. Which is the nearest to n? (a) -19\/5 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.87 - -0.984. What is q rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -69, -87, -109?\n\"Answer: -2*i**2 - 8*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3552474 months in years?\nAnswer: 0.02960395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**10)\/t*t**13)\/((t\/t**(-2\/17))\/(t**(2\/51)\/t)) assuming t is positive.\nAnswer: t**(98\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 2*a**3 + 18634*a**2 - 9319*a**2 + 22*a - 9324*a**2.\nAnswer: -a*(a - 2)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.53431 meters in millimeters?\nAnswer: 45534.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 2:43 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -5. Let n(c) = -c**2 + 3*c + 2. Let h be n(3). Suppose 3*r + h = 11. Put j, 0, r in decreasing order.\nAnswer: r, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56886.74 nanometers to millimeters.\nAnswer: 0.05688674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 905 = -159*b - 5180 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.054 and -22.9851.\nAnswer: -1.2411954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**7\/504 + l**6\/48 + l**4\/8 - 5*l**3\/6 + 15*l**2 - 3*l. Let v(i) be the second derivative of q(i). Factor v(c).\nAnswer: -5*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.85108 - 11849.216\nAnswer: -11840.36492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -48*y**2 + 4*y + 7. Let n(p) = 245*p**2 - 21*p - 35. What is 4*n(c) + 21*v(c)?\nAnswer: -28*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -210751, -210737, -210709, -210661, -210587?\n\"Answer: r**3 + r**2 + 4*r - 210757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12545 and 55?\nAnswer: 137995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 - -165. Which is the nearest to 0.3? (a) -1\/4 (b) -0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 6. Let h be k(-4). Let v(y) = -y**3 + 2*y**h + 8*y + 5 - 5*y + y**2 - 7*y**2. Is v(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Let r = 139\/2 - 69. Which is the third smallest value? (a) r (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = 3*q + q, 0 = -2*q - 3*m - 9. Solve 4*o + 5*t + 20 + 1 = 0, q = -2*o - 4*t - 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*o + 35 = 3*j, 2*o = 5*j - 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 7*x - 7. Let a be d(-5). Suppose -c = a*c - 8. Let q(u) = -4*u + 7. Let b be q(1). Solve 0*s + b = s + n, c*s - 8 = -n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:15 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6365 - 2.64. Let u = -0.5115 + g. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 6. Let s be g(-8). Suppose 0 = 4*x - s*p - 100, -x - 2*p + 20 = -10. Calculate the greatest common factor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1186354.542 to the nearest ten thousand.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -880, -1944, -3422, -5308?\nAnswer: -7596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4\/3, -3, -2\/5, 0.047?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -2. Let t = 922 + -907. Is i equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2.68\nAnswer: 0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 713.14 + -718. What is the third smallest value in -0.2, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/1837 and ((3990\/(-1848))\/95)\/((-2)\/(274\/3)).\nAnswer: 22044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:12 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -4, 3, 238?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4*5\/(-4090). Let f = t - -153795\/35992. Find the common denominator of f and 3\/4*(-74)\/12.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86308.04 decades in centuries?\nAnswer: 8630.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 8*r + 3. Let k be y(-8). Suppose -2*t = 2*t + 5*c + 2, -3*c = k*t. Is (-102)\/(-8) + t*(-2)\/(-16) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434 (base 5) to base 12\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = -7*k - 4*g, 2*k = 2*g + 10. Suppose -2*n + 5*n + 20 = 5*x, -2*x + 8 = -k*n. Solve 2*f = 10, 3*y = -3*f - x + 28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 29*z - 23*z. Suppose -74 = 5*a - z*t, 4*a + t + 101 - 25 = 0. What is the hundreds digit of (-6)\/a - 2490\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-18)\/4*530\/954\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-804)\/(-126) - 7) + (-2)\/(-7). Sort -63, f, -4 in descending order.\nAnswer: f, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -259*(-168)\/87024*7*22?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -7458258\nAnswer: 1\/3729129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 969593123 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38859 and 2094.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8 + 2. Suppose -c*v + 3*g = -g - 62, 0 = -v - g + 28. Suppose -v = 2*y - 121. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 1172*q.\nAnswer: -q*(q + 1172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 30. Let y = -6 - -6. Does 10 divide j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from {m: 3, c: 11}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = 36*k + 34*k - 240240. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -300, -254, -180, -72?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x**2 + x**2 + 0*x**2 - 4. Let w(a) = -a**2 + a - 1. Let d(v) = 8*v**2 - v + 6. Let q(h) = d(h) + w(h). Give -5*p(n) - 4*q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - 9. Suppose 5*l + 46 = -3*o, 4*o - 3*o = l - 2. Calculate the smallest common multiple of o\/(-2) - (-78)\/v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42020 - 412*s**2 + 42020.\nAnswer: -412*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3*p**2 + 1469*m**3 + 527*p**2 wrt p?\nAnswer: -4*m**3*p + 1054*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/17? (a) 4 (b) 4\/7 (c) 0.1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 668802626.6 to the nearest 1000000.\nAnswer: 669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*a**4 + 411203*a**3 - 872*a**2 - 21899*a?\nAnswer: -1224*a + 2467218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 - 90*k**2 + 456*k - 576 = 0.\nAnswer: 2, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 - 14*f**3 - 31*f**3.\nAnswer: -71*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 + 3*p**3 - p**2\/2 - 11*p + 71. List the prime factors of f(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*h - 182*h = 5*s - 24, 2*h = 4*s - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 951, 944, 933, 918, 899?\n\"Answer: -2*o**2 - o + 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4\/2 + 9*f**3 + 27*f**2\/2 + 6*f = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 11. Let d be h(8). Let s(j) = j**2 - 4. Let k be s(d). Let a(y) = k*y - 2*y - y. Let b(m) = m**2. Give b(a(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 47, 46, 43, 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.38 + 1.48. Let u = -9 - l. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13791527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8334 - -10315. What are the prime factors of q?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-10) - (-2)\/(-5). Suppose 3*j - 3*r = -j - 4, -6*j - 4*r = -28. Solve -6*i + j*i = -q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from rrrnnnfnrh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 84 + 14 = 0. Let g be j\/(-4) + 3\/(-12). What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/16 and 101\/5096?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 16*l**2 + 2*l - 40. Let o be a(16). Let j(g) = -g**3 - 10*g**2 - 5*g + 18. Let f be j(o). Let t = 544 - f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -3 (c) 4 (d) -23.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-31 + 21 - -26) + -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-16) - 0) + (-3)\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2814731480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64, -30, 108, 362, 744, 1266, 1940?\n\"Answer: 2*g**3 + 40*g**2 - 100*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, h: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 + 8 - 2) - (82 - (137 + 59)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 616\/(-352)*(-8)\/10. Which is the closest to k? (a) 2 (b) 0.07 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-35\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (sqrt(209) + (2*sqrt(209)*4 - sqrt(209) - sqrt(209)))))\/sqrt(11).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -38*f - 88 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5114 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 38, 52, 74, 104, 142?\n\"Answer: 4*v**2 - 6*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 880000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*f**2*x**3 - 2*f**2*x**2 + f**2*x + 5549*f*x**3 wrt f?\nAnswer: 326*x**3 - 4*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**2 + x. Let n(d) = -2*d + 15. Let f be n(7). What is the tens digit of z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45 and 254 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 872*p**2 - 110795*p\/3 - 133796.\nAnswer: -(p + 4)*(p + 39)*(p + 2573)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + 1 + 5 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2730480 and 29360.\nAnswer: 2730480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -21200323?\nAnswer: 21200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 12*l**2 - 6*l + 1. Give p(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + -75. Let q = z + 149.4. Suppose 3*i + 0*i = 6. What is the closest to -1\/3 in i, q, 5\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/7))\/(c\/c**12) assuming c is positive.\nAnswer: c**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21)*-7)\/(1\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.03, -6\/7, 5, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/66*2*25?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25416 - 10992 = 888*z for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4298 - 3884. Solve -k = 14*u - 400 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7108 and 1728?\nAnswer: 3070656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*i + 63 = 0, 3*x - 2*i - 27 = 21. Let s be (-28)\/(-6) - x\/27. Suppose s*t - 2322 = -f, -2*t - t + 5*f + 1753 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 22a0ac?\nAnswer: -22a0ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 4. Let t = 95 - 90. Suppose 0*i + t*i = -20. Determine a(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.385*-1\nAnswer: -5.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136749?\nAnswer: 3, 79, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 + 7 = -2*n, -3*l = -2*n - 16. Let z(c) = 2*c + 2*c**2 + 2*c**l + 15*c**3 - 14*c**3. Let y be z(-3). Let k(t) = t**2 - 2*t. Give k(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -992*j**3 + 3*j**2 - 5*j + 4. Let s be q(-13). What is s rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:00 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 43 = -2*m. Suppose 0 = 3*s + 5*f - 55, -m*f = -5*s - 8*f + 75. Suppose 6*x - s*x = -2012. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960547.4 decades in centuries?\nAnswer: 96054.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5987*t + 40920 = -5367*t for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136529048 to the nearest integer?\nAnswer: 11685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2041?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let s(m) = 11468*m**2. Calculate f(s(h)).\nAnswer: 131515024*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - 21*l - 10. Determine m(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 5, j: 2, p: 2, u: 2, g: 5}. Give prob of picking 1 c and 1 j.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2733 or 1484?\nAnswer: 2733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2421*v**3 + 4848*v**2 + 12*v = 0. What is v?\nAnswer: -2, -2\/807, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, -131, -384, -739, -1196, -1755, -2416?\n\"Answer: -51*a**2 + 2*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -86. What is q in 4*q**5 - 4*q + p*q**3 + 13*q**4 + 22*q**3 - 22*q**3 - 16*q**2 = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1523336 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43590366 divided by 6.\nAnswer: 7265061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llev when four letters picked without replacement from vvolel.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -470 by 470.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -30950*t**2. Let z(l) = 3*l**2. Give u(z(j)).\nAnswer: -278550*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6*f**2 - 3*f**3 - 5 - 3 + 2*f**4 + 2*f**3 in the form t*f**3 + d*f**2 + n*f**4 + o + h*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 93830 - 94136 for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + (30 - 40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6220832, 6220834, 6220836, 6220838, 6220840, 6220842?\n\"Answer: 2*x + 6220830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {x: 2, b: 2, d: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 + 9. Let s = 108 + j. What is the smallest value in s, -1, -1\/4, 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0, 2\/5 in increasing order.\nAnswer: -5, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 917502649 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -18. Suppose 0 = a*b + 3 - 15. Suppose 3*n = b*n + 14700. What is n rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/(2\/(-33)). Let b = 16 + l. Solve 2*y = b*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1215995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3))**49)**(24\/7))**(-42) assuming m is positive.\nAnswer: m**(-2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -121470.9*0.1\nAnswer: -12147.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.77*-2578\nAnswer: 4563.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1350129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -108. Suppose 297 = c*t - 43*t. What is the highest common factor of 297 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 529*m + 9. Let y(j) = 231703*j + 3945. Give 1315*w(r) - 3*y(r).\nAnswer: 526*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, r: 1, q: 1}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*k**2 + 207*k**2 + 212*k**2 - 5*k**3 + 2*k**3.\nAnswer: -3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 964 + 75 = 0. Let s = 145 + u. Suppose -4*t + 8*t = -2*h + s, -3*h - 4*t = -23. Solve -3*r + 8 = -h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4)*-15*(-168)\/945*9\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c**2 + 59*c**3 - 123*c**3 - 20*c + 9 - 10*c**2 + 63*c**3 + 3*c**2. Let k be l(-23). Sort k, -3, 3, -5 in ascending order.\nAnswer: k, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494808976.2 plus 0.76?\nAnswer: 3494808976.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 13688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(3\/(-24)*2). Suppose 0 = 4*v + 4*w + g, 0 = 3*v + w - 13 + 12. Let y(d) = 9*d + 1. Let u be y(1). Solve v*f = 4*f + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*x + 6, -i + 2*x + 8 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3))\/((-2)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/75*-10 + 2\/3. Factor -10 - 2*b**3 + 11 - 2*b + 3*b**4 + b**q - 5*b**2 + 4*b**3.\nAnswer: (b - 1)*(b + 1)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - -4. Let l = 0.74 - -0.26. Let c = r + l. What is the biggest value in -0.4, c, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-788)\/420 + (-4)\/(-10). Let l = 1861\/336 + y. Calculate the common denominator of (95\/8)\/(7 + (-10)\/((-240)\/(-158))) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-3) + (-31)\/(-93).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 4*j**3 + 2*j**2 + 3*j**3 + 0*j**2. Let a be n(3). Solve a*b + 0*b - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.408595039 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 10*o**2 + 12*o - 11. Let t be j(11). Suppose -2*y = 3*y + 35. Let q be y + t\/2 + 2. Which is smaller: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*q + 1848*q - 390*q - 26*q + 2626*q to the form c + t*q and give t.\nAnswer: 3706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.97 - -8.53. Which is smaller: 0.1 or i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 + 9*v + 16. Let t be w(-7). Suppose -o - 2*c + 3655 = 0, c - 7306 = -t*o - 2*c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 74, 80, 88, 98?\n\"Answer: t**2 + t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2 - 8. Suppose -y + s*y**3 - y**5 - 3*y + 3*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38886 = -15*t - 5046. Suppose -4*q + 2*q + t = 4*x, 3*x = -3*q + 1686. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*j + 8 - 16*j - 22 - 32 wrt j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a18 - 8?\nAnswer: -3a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a + 137. Let r(y) = -y - 52. Determine 2*r(x) + w(x).\nAnswer: -16*x + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2572 + 821 = 39*l. Calculate the remainder when l is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98869.83 milligrams in kilograms?\nAnswer: 0.09886983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*w - 9 + 1310*w + 9*w.\nAnswer: 1501*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - -8 - (-14)\/12. Let l = -57 + 33. Let m be (-20)\/32 + 9\/l. Is x != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56145 (base 7) in base 15?\nAnswer: -42d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101.02 - -100. Let a = -1.12 - b. What is the nearest to a in -0.3, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1017*n**3 - 2*n - 148?\nAnswer: -6102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 - 0\/(-5). Suppose r = -i - i. Suppose -3*b + 6*b = i. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0151252428 + -3.8198781232. Let n = 3.835 + c. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:22 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.7 - 35. Let p = -2 + f. Let o = -1\/45 - -31\/45. Which is the nearest to 2? (a) p (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842628 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 3*g**2 - 13*g - 27. Let h be z(-2). Sort -5, -129, h in decreasing order.\nAnswer: h, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (966\/(-1035))\/((3\/10)\/((-9)\/(-24))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 398774144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*x - 18, -x - 15 = 3*n - 0*x. Let v(a) be the third derivative of -a**5\/60 - 5*a**4\/24 + 4*a**3\/3 - 15*a**2. What is v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 4. Let a(o) = 4*o + 3 - 5 - 3 + 2*o. Let y = 44 - 19. Suppose -5*u = -y - 0. What is u*n(z) - 4*a(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -36) + (-2 - (1 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 6, -4, -5 in ascending order.\nAnswer: -255, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -1703, -4248, -7811, -12392?\nAnswer: -17991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13250 - -6281. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7363 (base 9) in base 10?\nAnswer: -5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*r - v = 211*r + 52, -12*v + 288 = -12*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4299849 is divided by 2051?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-1 + 2*x + 1) - 3*x - 21*x - 5*x + (1 + 0 + 1)*(x + 3*x - 2*x) + 3*x + 3 - 3.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0\/4)*3. Suppose o*c = c. Let v(h) = -h + 16. Let k be v(c). Solve 4*d - l + 2*l + k = 0, 0 = 3*d + 4*l + 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1199964*-39.1\nAnswer: -46918592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 24*n + 2809. Give t(-115).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + y**4 + 9*y)*(12*y - 3*y + 9*y)*(0 + 1 + 1)*(4 - 1 - 5).\nAnswer: -72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100254 - 411?\nAnswer: 99843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 12, -3, 4 in descending order.\nAnswer: 12, 4, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 561395995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -7*w**5\/30 + 5*w**4\/6 - 17*w**3\/6 + 4*w**2. Let o(i) = 5*i**2 - 7*i + 6. Let g(k) = 17*o(k) + 6*y(k). Factor g(p).\nAnswer: p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99737098?\nAnswer: 2, 773, 64513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 205309 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3619772 or 2?\nAnswer: 3619772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01564 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 8, -1 in ascending order.\nAnswer: -1, 1, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3 + 26*h)*(-h**2 + h - h) to the form b + j*h**3 + a*h + t*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -62460000 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*p - 8 = 0, -2*j - 2*p + 4 = p. Suppose m + 3*m = 0. Suppose m = -5*w + 3*o + o + 14, -o - 5 = -j*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbifzwb. What is prob of sequence zb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.384.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 360.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171624 is divided by 841.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:41 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnllnnnnnnnnnlnnn. Give prob of picking 3 l.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkkkkk. Give prob of picking 1 k and 1 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1100) + sqrt(11) + 5 + -4*(1 + sqrt(176))**2.\nAnswer: -701 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = i + 2*a - 7, 3*i - 19 = -2*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190421 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14977 + -5509. List the prime factors of u.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*o + 36 + 17, 0 = 5*o - k - 52. Find the second derivative of -11*l**2 + 0*l**3 - 28*l + o*l**2 - 6*l**3 wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 bigger than 330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6947*r**3 + 6*r**2 + 646225*r wrt r.\nAnswer: -41682*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 7:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-49)\/147)\/(1\/(-9)). Solve -6*y + 11 = -4*c - 3*y, -2*y + 9 = -x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((17 - 18) + (-3 - -14)) - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 7*v**6\/60 + 2*v**5\/5 + 11*v**4\/24 + v**3\/6 - 8*v + 1. Let f(x) be the first derivative of h(x). Find m such that f(m) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose g*t - 1 = 2*t. Let a be 50\/15 - t\/3. Solve -a = -7*h + 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 4*l**3 - 2*l**3 - l. Let m be v(0). Suppose -n - 1 + 4 = m. Solve n*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10*m - 4 = 6*m, -54 = -5*h + m. Let o(q) = -2*q**2 + 19*q + 1. Calculate o(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + m**5 + (2*m**3 + m**3 - 6*m**3)*(4 - 3 + m**2 - 2*m**2).\nAnswer: 4*m**5 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566885473?\nAnswer: 7, 11, 37, 198977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:26 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -35*j**2 - 6*j. Let z be c(-4). Let t be (-22)\/77 + z\/(-14). Let v = t - 12. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 1528 + 417 = -55*l - 167 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:34 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 14*d**2 + 2*d - 12. Let a be b(7). Solve -88*k + 640 + a*k**2 + 9*k + 2045 + 53 - 69*k = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/3 - 5651*b**4\/3 + 39595*b**3\/3 - 62233*b**2\/3 + 9430*b = 0.\nAnswer: -5658, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-49)\/7 + 5 - (-2 - 348)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 - 6*b - 11. Let z be n(8). Solve 2\/7*k - 4\/7*k**3 + 2\/7*k**z - 4\/7*k**2 + 2\/7*k**4 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*p**2 + 8*p - 390*p**2 + 795*p**2.\nAnswer: 10*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2246200 = 81*h - 70*h. Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461 + -466.86. Let q = l - 0.14. Let y = -5.6 - q. What is the biggest value in 4, -2, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(21))\/sqrt(3) + (sqrt(35) - sqrt(140))\/sqrt(5) - 5*sqrt(28)\/(sqrt(32)\/sqrt(8)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2130*c*k*n + 2*c*k - c*n + c + 4708210*k + 24042*n - 61 with respect to n.\nAnswer: 2130*c*k - c + 24042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 285 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/5)*r**4)\/((r**5\/r)\/r*r*(r\/r**(-1))\/r*r))\/(r**(3\/2)*r*r**(-3\/7)*r)**(-47) assuming r is positive.\nAnswer: r**(9881\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7644912 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0*r**5 + 0*r**4 + 0 + 13\/42*r**7 + 0*r**2 + 13*r + 0*r**6 + 5\/3*r**3. Find the second derivative of m(k) wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 51 - r**2 + 38 + 5*r**3 + 2*r**2 + 22 in the form x*r**3 + z*r + w*r**2 + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/12 - l**3\/6 - 34*l + 4. Let f(g) = 7*g**2 - 2*g. Determine -f(d) + 6*p(d).\nAnswer: -d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 16*a - 8. Let d be g(-19). Suppose -d = 10*m + 41. Is m at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*p**2 - 6*p - 34*p + p + 1 - 173*p**2 in the form f*p**2 + j*p + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 0.08. Let g = r - -4.87. Which is the smallest value? (a) -0.2 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360.52 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16210543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148347.\nAnswer: 3, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2\/13 - 10\/13*z**2 + 6\/13*z**3 - 6\/13*z + 8\/13*z**4 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 990\/7 + -142. What is the biggest value in 1, -3\/5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:08 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(363) + -1 + 2*sqrt(363)))**2 - ((sqrt(3) + sqrt(3) + 2)*4 - (sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: -601*sqrt(3) + 29404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k + 50*k = -85320. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 18, 111, 300, 615?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.4. Let t = -20.9 + 21.1. Which is the smallest value? (a) 2 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynvvn. What is prob of sequence vyny?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4622*v**2 - 3*v**3 + 4622*v**2 - 48*v - 53*v.\nAnswer: -3*v**3 - 101*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 12. Let r(w) = -w - 1. Let j(k) = p(k) + 6*r(k). Let t be j(-6). Let h be t + 1\/(-2)*2. Put 2, h, -2 in ascending order.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:05 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjmjmm. What is prob of picking 3 j?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16454 + 24175. What are the prime factors of r?\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjbrjbjjjppjjpjjj. What is prob of sequence jprj?\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416648 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 495330319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Let n be 29\/5 - (-4)\/(-5). Suppose 2*c + 7 = 4*x - 9, -4*c - 24 = -4*x. Solve -l + 2*f = 14 - 6, n*l + x*f + 4 = h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:40 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7, n: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2. Let a = 6 - 4. Let m be z(a). What is the derivative of -4 + 2 + m*w**2 + 3 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0534 - 1.9466. Which is the nearest to -1\/3? (a) -6\/7 (b) -59 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -37992541*d**2. Let n(v) = 50*v**2. What is n(y(g))?\nAnswer: 72171658581834050*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*x, 4*x + 2*m = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4 - r**3\/3 - 4*r + 4. Let y be 0 - 1 - (-4 + 0). What is the units digit of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 n when four letters picked without replacement from {n: 4, w: 4, a: 1, c: 3, v: 1}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5173113 take away -2?\nAnswer: -5173111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4326069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7479 divided by -2?\nAnswer: -7479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:42 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1666193.\nAnswer: 139, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-52)\/(-39))\/(1\/3). Let c be 29\/7 + (-2 - b\/2). Factor 0 - 1\/7*i**3 + c*i**2 - 1\/7*i**4 + 0*i + 1\/7*i**5.\nAnswer: i**2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630071341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + -6 + (-1 - 0) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 9, d: 1, e: 2, m: 6}. What is prob of sequence dll?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 36*n. Determine k(10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f**2 + 32930 - 32930)*(2*f**2 + 3*f**2 - f**2).\nAnswer: -8*f**4 + 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -74*m**4 - m**3\/3 - 90*m + 101. Find the third derivative of c(o) wrt o.\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**7\/42 - l**5\/4 - l**3\/6 - 14*l**2 + 3*l - 12. Find the second derivative of q(p) wrt p.\nAnswer: -20*p**3 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -110110?\nAnswer: 110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 62. Calculate g(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-83)\/(-11) + (-18)\/396*12. Put h, 12, -2, -1 in descending order.\nAnswer: 12, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*((-10)\/15)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 130. Put -0.3, -19\/2, o in descending order.\nAnswer: o, -0.3, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 33*u + 247. Calculate b(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = -8. Suppose z = -d + 5. Find the second derivative of -r**d - 4*r - 4 + 0 + 4 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*q**3 + 16\/15 - 2\/3*q**2 - 4\/15*q.\nAnswer: -2*(q - 1)*(q + 2)*(q + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 385, 527, 669, 811?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - p - 44832, -v - p + 1089 + 10119 = 0. Suppose 7027 = 35*y - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -836\/3 or -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101001000001011000100?\nAnswer: 101001000001010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5276261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 564\/(-2145) - (-4)\/26. Let r = -91\/330 - i. What is the second smallest value in 7, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 725a (base 16) to base 4\nAnswer: 13021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92538, 92539, 92540, 92541, 92542, 92543?\nAnswer: 92544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353\/460 - 2\/115. Let f(m) = -14*m**2 + 186*m - 214. Let p be f(12). Which is the biggest value? (a) x (b) 12 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.01 (c) -94 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 2*m**2 + m - 1. Let y(w) = 5*w**3 + 7*w**2 + w - 1. Determine 6*v(n) - 2*y(n).\nAnswer: 2*n**3 - 2*n**2 + 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 8 (b) -0.003 (c) 46\/425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 24. What is f(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d4b (base 15) in base 2?\nAnswer: 101110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35c0 + -b56?\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7 and -1.2.\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4) + (-13)\/(-2). Suppose q*y - 60 + 10 = 0. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001010101100100 (base 2) to base 7\nAnswer: -1303430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89573645.6 to the nearest 100000.\nAnswer: -89600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 7*g. Let s be x(6). Let q be 8\/(-2)*s\/(-12). Suppose -q*u = -u. Is u > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40212 + 2232331?\nAnswer: 2142114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*d - 365502 = x, 2*x - 2*d = 146202. Round x to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2\/2) + -2. Let j be 1454 + (-4 - -5) + t. Let i = 2999 - j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 41 = -215*l + 220*l, -4*l - 16 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 2225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 44 = 4*j. Suppose j*g = -383 + 11. Let v = g - -126. Solve 3*i = v*s - i, 2*i = -3*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 9*n**2 - 8*n - 9. Give w(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15718518, 31437038, 47155558, 62874078?\n\"Answer: 15718520*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 12. Let n be (-12)\/x + (-3)\/(-5). What are the prime factors of (17\/(-5) + n)*-30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 410\/123*357\/(-1547).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51, -118, -133, -6, 353?\n\"Answer: 15*y**3 - 64*y**2 + 20*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 382, 399, 380, 313, 186, -13, -296?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h + 40. Let m be y(0). What is the greatest common factor of 16 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 23*-2*1*-1. Let h = v - 44. Find the second derivative of -110*a**4 - 19*a + a + 91*a**h wrt a.\nAnswer: -228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) + 2*sqrt(77)) + 5*(-2*sqrt(77) + sqrt(77) + sqrt(77)) + sqrt(77) + sqrt(77))\/(sqrt(567)\/sqrt(9) - (sqrt(63) + (sqrt(1008) - sqrt(63)))).\nAnswer: -20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:09 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 15*v + 17. Calculate the smallest common multiple of 7 and h(-18).\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 6, a: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h + 9*h**2 - h**3 + 0*h**3 + 44 - 49. Is c(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 1. Let i(r) be the second derivative of r**3\/6 + r - 5. Determine -i(l) + 3*t(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000983834775 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 228\/(-192)*(1 - 12\/(-8)) and 3\/440.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -13542, 1.91?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-70 - -1) - (63 - (118 + -37))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(13\/(-6))*520\/(-312)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -451 - -644. Let v = -122 + m. Let j = 73 - v. Solve u + j = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 419*q + 411*q - 822*q + 3 + 108*q**3 to g*q**3 + j*q**2 + n*q + s and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 84.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -438?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (-8)\/((-96)\/45)*60\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Let f be (-7)\/((-21)\/(-24)) - 12\/(-4). Let c(r) = -2*r**2 - 12. Let x(v) = f*a(v) - c(v). Let g be x(-2). Solve 9*u = g*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8)*72\/189. Which is the closest to 0.4? (a) 2\/7 (b) 3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*r - 247 = 3*r, -2*j = 5*r - 131. Let g = j + 133. What are the prime factors of g\/20 - (-2)\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -483a9 (base 11) in base 6?\nAnswer: -1254354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 32\/128 + (-657)\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1170 in 2\/3, -5, -1, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -682*c**4 + 1372*c**3*t**3 + 21449863*t**3 wrt c.\nAnswer: -2728*c**3 + 4116*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183689.\nAnswer: 11, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-16 - -9) - -33) + -6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 8. Let q be 168\/(-27) + 4\/18. Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(4 - 1 - 1)*(-3*r + 3*r + 2*r + (1 - 2 - 1)*(2*r + 36*r + 9*r))*(r - 2*r - r).\nAnswer: -368*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 32 - 12 = 0. Let t be 10\/(-35) - (-1 - 3) - k. Let p = 18 + -23. What is the nearest to 0.1 in p, t, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*t = -299*t + 1992. Which is smaller: -256 or t?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o = -80 - 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 - 4*z**2 + 8*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + (-4*sqrt(78) - sqrt(78))*-5 + sqrt(78) + -5*sqrt(78)*-4)\/((-2*sqrt(216) - sqrt(216))*-4*1).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 495*f + 149. Suppose -w + y + 12 = 0, 14 = -5*w - 3*y + 42. Is n(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-4) - -79)\/((-6)\/8). What is the tens digit of -6*(-16)\/(-36)*x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120121 - -122201?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5 - 1657335*o**4 + 31488190*o**3 - 208813860*o**2 + 536946840*o - 357963840 = 0.\nAnswer: 1, 6, 331448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(6)\/sqrt(2)*4 + sqrt(3)))**2 - ((sqrt(14) - 1*sqrt(14))\/sqrt(7) + sqrt(2) + (sqrt(98) + -1)**2)) + 3.\nAnswer: -2398\/25 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggl. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -975819336*n*q - 3*q + 533673 wrt n?\nAnswer: -975819336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -373 + 2613\/7. Suppose -2\/7*w**5 + 0*w**2 + r*w**3 + 0 + 0*w + 0*w**4 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/24*-4*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -15. Suppose j - v - 1 = -2*v, 0 = j + 4*v + 2. Let n be (16\/(-10))\/(j\/(-5)). Calculate the highest common factor of r and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119411 + 1773 = 25*b - 120541. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (18 + 1 - (-100 + 107))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -3*g**4\/8 + 13*g**3\/6 - 947*g**2. Let d(f) = f + 3*f + 9 - 7 - 8. Determine 5*d(v) + 2*n(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:40 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*q - 17030 = q, 3*d - 10196 = -5*q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/11, 3\/4, 0.5 in descending order.\nAnswer: 3\/4, 0.5, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3516 + 7818. What are the prime factors of s?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 61.455\nAnswer: 9.8328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4807*n**2*q**4 + 2*n**2*q**2 + n**2*q + 41*n**2 - 29*n*q wrt q.\nAnswer: -57684*n**2*q**2 + 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/66)\/((-6)\/33).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8863 = 5*u + 2294, 5250 = 4*u - d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 2*p**2 + 8*p - p**2 + 1 + p. Let s be i(-7). Let b = s - 4. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1179*u - 967*u + 3080*u to p + o*u and give o.\nAnswer: 3292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 114*w = 0 for w.\nAnswer: 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7992 and 7252?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.36 minus -61655?\nAnswer: 61619.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 355 = -601 + 314 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -502364, -1004596, -1506696, -2008664, -2510500, -3012204, -3513776?\n\"Answer: 66*d**2 - 502430*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1101\/409 - -4930276\/1836819. What is the common denominator of l and -33\/3493?\nAnswer: 31437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32010331 (base 4) in base 12?\nAnswer: 29451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5726897 nanograms in grams?\nAnswer: 0.0000000005726897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhpqgfghfg. Give prob of sequence ggf.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -0.5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414999980.\nAnswer: 2, 5, 397, 52267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -14 + 6 - -3 - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -70808 - 2*d**2 + 70808. Let f(y) = 241*y**2. What is f(l(o))?\nAnswer: 964*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 102*s + 196. What is x(-5)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 0. Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1638984*g**5 + 2*g**4*i - 2*g**3 - 7*g**2*i - 2*g**2 - 2*g*i + 19*g + i + 5639 wrt g?\nAnswer: -98339040*g**2 + 48*g*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*u - 3*u - u)*(3*u + 0*u - 4*u) - 4*u**2 + 3*u**2 - u**2)*(-2*u**2 + 5*u**2 - 2*u**2) as t + r*u**3 + s*u + p*u**2 + x*u**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.1. Let n = -8731947\/434809 + -12\/127885. Let g = n + 101\/5. Put d, 2\/7, g in decreasing order.\nAnswer: d, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3. Let s be b(-1). Let g(w) = 5*w**3 + 7*w**2 - 1. Let x(t) = 4*t**3 + 6*t**2 - 1. Let i(k) = s*x(k) + 3*g(k). List the prime factors of i(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*w = -151*w, -5*a + w = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h. Suppose h + 5 = -2*z + 3*f, -z + 3*f - 7 = 0. Factor 4 + 3*r**2 - 5*r**z + 6*r**2 - 8*r.\nAnswer: 4*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suussueusswaessu. What is prob of sequence aswe?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35017684 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = -u, 4*v - 16 = 8*u - 7*u. Suppose u*w - 5*w = -245. Which is smaller: w or 50?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11031, 22069, 33101, 44127, 55147, 66161, 77169?\nAnswer: 88171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = -3*l, 0*l - 5*n - 14 = -l. Suppose -3*u = l*x - 7, -2*u - 7*x + 3*x = -6. Is ((-3)\/(-2))\/(u\/26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = 25*w + 699 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkfmnmmmfffb. What is prob of picking 2 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631.311508 rounded to the nearest 10?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/7 - 2*i**2\/7 - 88*i\/7 - 192\/7 = 0. What is i?\nAnswer: -4, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 5}. Give prob of sequence muum.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a factor of 29482594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(1 - -1))\/(-1). Let x = -104 + 111. Let u(h) = 3 + x*h + 10 - 3*h**2 - 12. Let b(i) = 2*i**2 - 5*i - 1. Determine v*b(d) + 5*u(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 13*g**2 - 16*g - 19. Let z be u(-14). Let p be z\/18*(0 - 0). Solve -3*m - 9 + p = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123415 bigger than 123415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391150643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 + -277. Let k = v + 156. Put 741, k, 5 in ascending order.\nAnswer: k, 5, 741","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 + 3*r - 4. Suppose -12*v = -7*v + 4*c - 23, 3*v + 3*c - 12 = 0. Calculate n(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/1292*34)\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10302 - 200?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 20, -3*g - 1 + 3 = 5*s. What is the highest common factor of 7 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70297300 greater than 70297302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 877. Let t be 1*(-4 + 4)\/5. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12532 and 1612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/((13\/390)\/((-1)\/(-2))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2690)\/(-2421)*(-3)\/25\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {l: 2, i: 4, q: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 + 5*z + 87. Give f(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*m = -2, 3*m + 18 = -4*h + 4. Let v = 0 + -1. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -2) + -1067 + 1101?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 185, 209, 231, 251, 269, 285?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*v + 380 = -184*v. Solve v*g = 65 + 95 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/(-69)) + 0. Let r be 3 + (1 - 2) + f. Let j = 46 + r. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014*-35.\nAnswer: -35490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075493 to 7 dps.\nAnswer: -0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 6.94 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**2 - 2*y**6 + 33*y**4 - 33*y**4 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7640 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 45) + 10 + 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 7. Suppose -16*a + 65 = -3*a. Let p be z(a). Solve h = -p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**2 - 12*y - 12. Let u(r) = -3*r**2 - 2. What is -c(s) + 3*u(s)?\nAnswer: 2*s**2 + 12*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/44 and -119\/2178.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.461*889\nAnswer: 409.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-16 - (-1 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (50\/(-15) - (-7)\/21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*((s**1*s)\/s)\/s)\/(s**(1\/4)\/s*s\/(s\/((s**(-3)\/s)\/s*s*s)*s)*s) assuming s is positive.\nAnswer: s**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 c when four letters picked without replacement from ohkccjbbbhoj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2267, -2282, -2297, -2312, -2327, -2342?\n\"Answer: -15*s - 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 38 + 14 + 58 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*x + 2*x, x - 6 = -p. Let r be -3 - (-1 - 2)*p. Let c(o) = o**2 + o - 6. Let h be c(-3). Solve h = r*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*o + 3*m, 855*m - 859*m + 28 = -4*o. Sort 3, 1\/3, o, 4\/5, -0.075 in descending order.\nAnswer: 3, o, 4\/5, 1\/3, -0.075","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c - 11*c + 19*c + (-4 + 4 - 2)*(-13*c + 18*c - 14*c)*(-2 - 2 + 6) to a*c + b and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/9))\/(v**(-5\/7)\/v) assuming v is positive.\nAnswer: v**(164\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 5 + -5 + -29 + 47 + -14\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 605?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 8 + (1120\/196)\/(10\/35)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*q**5*v + 173073*q**3*v**2 + 2*q*v + 1309215*v**2 wrt q?\nAnswer: -820*q**3*v + 1038438*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 1. Let x = -1.5 + f. Which is the closest to x? (a) 0.2 (b) 1\/8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let w = 3.8 + -2.8. What is the closest to r in -1, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**2 - 24319*x + 2432 = 0 for x.\nAnswer: -2432, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*z - 407*z + 11077 + 5023 = 0 for z.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -439, -412, -365, -292, -187, -44?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-32)\/(-404))*-8. Suppose i = 5*r - 851. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14825, 27945, 41065, 54185, 67305, 80425?\n\"Answer: 13120*v + 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21727815.247000415 - 21727815. Let p = t - 0.247. Round p to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/438 and 46\/24411.\nAnswer: 3564006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.6536 and -6.\nAnswer: -4.3464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Let l(a) be the third derivative of 0*a + 15*a**2 + 0 - 1\/12*a**4 + 0*a**3. Give n(l(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*(z\/(z*z**5))\/z)\/z)\/(z\/(z*z**(3\/8)*z*z)))\/((z*z\/((((z*z\/z**2)\/z)\/z)\/z)*z)\/(z**(1\/3)\/z)))**(-4\/5) assuming z is positive.\nAnswer: z**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -2029 in increasing order.\nAnswer: -2029, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 1, -1\/6, 1\/7 in ascending order.\nAnswer: -164, -1\/6, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 10*b + 2. Let y be g(-8). Suppose -4*a + y = -x - x, -a + 6 = -2*x. Suppose 4 = t - a. What is the remainder when 13 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*j**5 - 2*j**3 - 12394*j**2 wrt j?\nAnswer: -11580*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58544 is divided by 19490.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 3. Let w be v(-8). Suppose 2*s + 231 = w*s. Calculate the remainder when s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/9 - 1669*f**3\/9 + 5061*f**2 - 45711*f + 137376.\nAnswer: -(f - 9)**3*(f + 1696)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, 1, -5, 3, -4 in decreasing order.\nAnswer: 3, 1, -4, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5231843.\nAnswer: 5231843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7 - 11*c + 2 + 14*c + c**3 - 4*c**2. Let t be w(3). Put 2, t, -4, 5 in increasing order.\nAnswer: t, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 443691.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 46*h**3 + 6*h**2 - 2. Give i(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -2. Suppose c - 3*h = 21 + 3, 0 = -c - b*h + 44. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10652249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 13*w**3 + 13*w**3)*(0 - 3 + 1)*(1 + 0 + 0)*(-w**2 + 0*w**2 + 3*w**2).\nAnswer: -80*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1, 33, -0.01, 2082?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = -18. Let p(r) be the first derivative of -1\/3*r**3 - 2 + 2*r - r**k. What is p(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 13) to base 8.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 1 = 32*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 53*m + 2 - 39.\nAnswer: -53*m - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*a + 5*j - 3*j, -4*j = 2*a + 20. Let y(u) = -6*u - 6. List the prime factors of y(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 26, -5, -232, 2, -18 in descending order.\nAnswer: 26, 20, 2, -5, -18, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Solve -b - r = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4129, -4122, -4115, -4108, -4101, -4094?\nAnswer: -4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9007 = 3*d + 9001, -2*j + 3*d + 40 = 0 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8511858 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1955 + 2*b**2 + 1932 + 0*b**2 + 4*b - 21*b - 3*b**2. Calculate f(-9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-3\/5))*a*a**(-1\/4))**(-3))**(-29\/3) assuming a is positive.\nAnswer: a**(783\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 540706894 and -0.2.\nAnswer: 540706893.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227580 is divided by 13385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25539\/4 - -6385. Which is smaller: v or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -36824.\nAnswer: 36824.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-1 + sqrt(152) - (sqrt(152) - (1*sqrt(152) + sqrt(152) + sqrt(152))*4))\/(-4*-3*-3*sqrt(8)).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 70 = 4*m, 3*m + 11 = 5*g - 59. Let j = 23 + m. Put 5, j, 0, -2 in increasing order.\nAnswer: -2, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11396*c - 7240. Let q(g) = 3799*g + 2423. Let m(v) = -11*q(v) - 4*s(v). Differentiate m(r) wrt r.\nAnswer: 3795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20913813.\nAnswer: 3, 19, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 433*m - 4. Let h(i) = -56289*i + 522. Give 4*h(v) + 522*q(v).\nAnswer: 870*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -15*a**4 + 21955*a**3 - 7985770*a**2 - 35239340*a + 80813400 = 0.\nAnswer: -6, 5\/3, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*k - 681 = 0, 3*r - 5*k - 768 + 55 = 0. List the prime factors of r.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o*o*o*o**(-9)*((o**(1\/3)\/o)\/o)**(8\/13))**(-15) assuming o is positive.\nAnswer: o**(590\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/((-1659)\/(-735)) + 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270 - 1.9?\nAnswer: -1271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-16 - -7) + 10 - -69) + (-107 - -115)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1990045*x**6 + 318*x**2 + 344*x + 1 wrt x.\nAnswer: -238805400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -3*f**5\/2 - 17*f**2 + 20*f - 5. Let g(n) = -94*n**2. Calculate g(p(w)).\nAnswer: -761400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -80. Let o(d) = -16*d - 57. Let f be 11 + -5 - (-8 - -20). Calculate the remainder when o(f) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8633412 divided by -108.\nAnswer: -79939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 8. Let j(b) be the first derivative of -b**2 + 2*b + 2584. Let l = -27 - -36. Calculate l*j(s) + 2*k(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - 1 - (-184 - -171).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2 + 14 - 56*w**2 + 111*w**2 - 56*w**2. Suppose -17*r + 27*r = 0. Give f(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156703 is divided by 419.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24037 + -24042. Suppose -3*i = -0*i + 3. Sort -2, g, -6, i in decreasing order.\nAnswer: i, -2, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -3.8\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 10. Let c be 122\/j - (-8)\/20. Let g = c - -42. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 5, -4.\nAnswer: -8, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/5, 3, -0.020333, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744a05 (base 11) in base 16?\nAnswer: 48425e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5225*f - 315830 = 384320 for f.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 - 7*h**3 + 2368*h**2 + 15678*h - 2?\nAnswer: -12*h**2 - 42*h + 4736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24334830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 385*x**4\/4 - x**3\/3 - 10*x. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 18 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 154\/26 - (7*(-2)\/13 + 1). Solve 10*d - r*d - 6 = -u, 4*d = 4*u + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6176 and 18.\nAnswer: 55584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2. Let n(z) = -1. Let u(m) = m - 1. Let y(j) = n(j) - u(j). Calculate h(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntynyjyy. What is prob of sequence ynty?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2 - 3*w. Let q be j(-4). Let f = -4 - q. Suppose -3*t + 0*n - 2*n = -17, -3*t + 1 = -2*n. Sort t, f, 5 in decreasing order.\nAnswer: 5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 17516400?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -7 - (11 + -7 + -500)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 22. Let o(c) = -11. Suppose 3*l + 14 = -5*d + 6*d, 4*d + 5*l = 5. Determine d*o(p) + 2*k(p).\nAnswer: -2*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 1\/6*v**4 + 0*v**5 + 55\/42*v**7 - 101*v + 0 + 0*v**6 - 39\/2*v**3. Find the second derivative of z(q) wrt q.\nAnswer: 1100*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4 and -82\/1743.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*j - 4 - 4, 46 = 5*f + 3*j. Let y = 11 - f. Solve y*h + 10 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*-2 - (sqrt(68) - (sqrt(68) + (-2*sqrt(68) - sqrt(68)) + sqrt(68))*-1))\/(sqrt(64)\/(sqrt(16)\/(sqrt(24)\/sqrt(6)))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6190 and 21046?\nAnswer: 105230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249964115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34705 + -27.598?\nAnswer: -34732.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/1341 and (((-2)\/745)\/(2 + -12))\/((-660)\/(-133650)).\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 - 9*q + 4. Suppose 49 - 9 = -5*b. Let f be a(b). Let i be 2\/3 - f\/12. Solve 2*x + i*l + 25 = -0*x, 2*x = l - 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723030906?\nAnswer: 2, 861515453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 31*s. Let r(w) = -3*w**2 + 5. Suppose 102*i = 109*i + 42. Let u(n) = 3*n**2 - 6. Let g(o) = i*r(o) - 5*u(o). Give x(g(y)).\nAnswer: 18*y**4 + 93*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274876, -275041, -275206?\nAnswer: -275371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**5 - 10*u**4 - 183*u**2.\nAnswer: -240*u**2 - 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-1340)\/16. What is the tens digit of 50\/4*b\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 6*g**3 + 20*g**2 - 48*g = 0 for g.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s + 2. Let x(u) = -u**3 - 2*u**2 - 2*u - 3. Let z be x(-2). Suppose -4*r + 7 = n, -n + z = 3*r + 4*n. What is d(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16362)\/(-36))\/101)\/(-2*(-1)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-38)\/95)\/(4\/(-5)). What is the third smallest value in -1\/5, -5, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-225)\/81)*5*(76\/4)\/57\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8878047 and 5366.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7 + -1 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -1.31. Let s = 86.98 - 86.9900025. Let p = h - s. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -84, -105, -124, -141?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*o - 197*o = -4928. Sort 4, -18, 3, o in decreasing order.\nAnswer: 4, 3, o, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 4*t**2 + t**2 + 14*t + 2*t**2 + 11 + t**2. Let u be h(-6). Is -6\/71 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1864 + -17b?\nAnswer: -1a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -54*x + 2. Let m(b) = -106*b**2 - 1022*b. What is m(s(d))?\nAnswer: -309096*d**2 + 78084*d - 2468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 + 5*m + 5. Let a(x) = x + 1. What is 4*a(r) - s(r)?\nAnswer: -r**3 - 3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a**5 + 36*a**4 + 70*a**3 - 36*a**2 - 50*a. Let n(v) = -v**5 - 2*v**4 - 3*v**3 + 2*v**2 + v. Let c(k) = -36*n(k) - 2*y(k). Factor c(f).\nAnswer: 4*f*(f - 2)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 358*v**2 - 3*v + 81. What is z(0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24972451 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132645 + b - 2*b - 132582.\nAnswer: -b + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1903 * -0.3\nAnswer: 570.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2484, -0.3, -257 in decreasing order.\nAnswer: -0.3, -257, -2484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245805 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 - -2*2. Let k(u) be the second derivative of u**4\/4 - u**3\/6 + 3*u**2 - 6*u. Let p(n) = 1 - 4*n**2 + 1 - 9 + n + 0. Determine i*p(s) + 6*k(s).\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - d - 415 + 1237, 2*d - 8 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**8\/672 + j**7\/210 - 29*j**6\/240 + 23*j**5\/60 + 5*j**4\/12 - 14*j**3\/3 + 659*j**2. Factor i(q).\nAnswer: (q - 2)**3*(q + 1)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518839161 times -2?\nAnswer: -1037678322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + 3*d**4\/8 - 5*d**3\/6 - d**2. Does 5 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2251\/1030 + -3\/206. Find the common denominator of (3\/9)\/(6\/(-14)) and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357436.039 less than -1?\nAnswer: 357435.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 11 = -w, -4*m + 20090 = -4*w + 20082 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 35 = 3*b, c = -5*b + 29. Suppose 2*w = 2*h + 44, w - 110 = -c*w + 2*h. Let f = -6 - -26. Calculate the smallest common multiple of f and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1454 and 37\/20?\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:16 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/30 - j**4\/8 - 2*j**2. Let v(g) = -g**2 - 7*g - 1. Let c be v(-6). Let h(f) = -f. Let i(s) = c*h(s) - q(s). Factor i(b).\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 33. Let x = t - 7. What is the least common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(-123*g + 3941 - 3941) + 3 - 2*g - 3 + (1 - 4 + 2)*(-5*g + 2*g + 2*g).\nAnswer: -124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = 3*f - 2*o, -4*f + 1006 = -0*o + 2*o. Suppose 0*p + 92 = 2*y - 5*p, p = 5*y - f. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 46*u**2 + 6. Let p(z) = -8*z. Determine p(d(g)).\nAnswer: -368*g**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*n**7))\/n*n\/(n\/n**11))\/(n**(2\/5))**(-7\/2) assuming n is positive.\nAnswer: n**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/42 + 234*u**7\/35 + 1531*u**6\/3 - 1619*u**5\/3 - 2552*u**4 + 15488*u**3\/3 + 129*u**2 - 18*u. Solve i(y) = 0 for y.\nAnswer: -88, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*v - 159, -4*v - 134 = -4*d - 3*v. Suppose 2*x + 0*w + w - d = 0, -w = -3*x + 62. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + -1 - 2*(-84)\/32. Which is the closest to o? (a) 0.3 (b) 15 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + (-32)\/(-12). Let m(b) = 23*b**v - 7*b + 7*b. Let g(d) = -26*d - 39*d + 66*d. Give m(g(j)).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -2755.5 - -2786. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*2 + -3 - (sqrt(891) + (sqrt(891)*2 - sqrt(891))*-1) - (-1 + sqrt(891) + sqrt(891)*-1 - 2*(sqrt(891) + 0 + sqrt(891))))**2 + -5)*-4*-1.\nAnswer: -864*sqrt(11) + 128300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y**2 + y + 39. What is v(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.02 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.161 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**2 + 2*b**2)*(4*b + 2*b - 4*b) + 4*b**3 + 3*b**3 + 7*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*v - 8*v + 25. Let b be v\/(2\/(-10 + 2)). Solve -3*s - 2*s = -l - 25, -4*l - b*s = -20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*t = 86*t + 225. Calculate the remainder when t is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42471, 84944, 127417, 169890?\n\"Answer: 42473*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 163 = 2*w, 5*a = 3*w + 2*a - 249. Let j = w - 29. Suppose 5*m - 1137 = -17. Calculate the remainder when m is divided by j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231430 - 2?\nAnswer: 231423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h**2 - 210*h + 10. Calculate the smallest common multiple of 50 and m(-21).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z**(1\/3))*z)))**20\/((z*z*(z*((z*z*z*z**6*z)\/z)\/z*z*z)\/z)\/(z**(-3\/4)*z)) assuming z is positive.\nAnswer: z**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5. Let r(l) = -11*l - 225. What is r(w) - 4*x(w)?\nAnswer: -11*w - 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12683, 13047, 13409, 13769?\nAnswer: 14127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:48 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13706645 and 32521?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 54*u + 6. Let l be y(3). Suppose 0 = -45*o + 24*o + l. Solve o*q + 9 = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.035 in -0.05, -2, -3, 1, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 - 13 = 0. Let k = 327 + -325. Solve -h - 5 = -k*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzhzhh. What is prob of sequence hz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-2 - -2) + (-9 + 21 - 19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 18675?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 - 2873*p - 14340. What is h(-5)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 913532413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g - 2 - 10*g + 11*g - 1.\nAnswer: -25*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:22 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27936125?\nAnswer: 5, 7, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2 + 2)*(-14*p + 14*p + 5*p**3) - 3*p**5 + 0*p**5 + p**5 + 7*p + 10*p**5 + 1476*p**4 - 1476*p**4.\nAnswer: 18*p**5 + 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 + 12 = 2*o, 60 = 5*o - 5*v. Let c be (3\/(o\/(-2)))\/2. Put 5, 1\/3, c in descending order.\nAnswer: 5, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 3*i**3 - i**3 + 208*i**3 - 30*i**3 - 64*i**3 + (-2*i - 6*i - 3*i)*(-4*i**2 - 3*i + 3*i) to s*i + w*i**3 + h*i**2 + g and give w.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 2*h - 238, h - 1 = 0. Let i = 125 + v. Suppose 0 = i*a - 0*a - 1267. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31 + (-168)\/7 + 38\/(-6). Let u = -95 + 26. Is u less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386142*-0.7.\nAnswer: 270299.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - 1.1. Let z = -6512\/27 + 32506\/135. Sort x, z, -15, 1\/3 in ascending order.\nAnswer: -15, x, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + h. Which is bigger: 87 or h?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -13 in descending order.\nAnswer: 5, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 14*s + 3*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*t - 10 = 0, 0 = 4*a + a - t - 23. Let g be a - (-5 + 1 - 136). Suppose 2*c = -5*m + g, -5*c + 318 = -0*m + 2*m. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 3*h**2 + 9*h - 2*h - 3542*h**3 - 1332*h**3 + 8*h**2. Suppose -3*t - 2*t = 20. Let j be x(t). What is j rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + -29. Find the common denominator of 363\/(-60) + (-4)\/16 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4072*i - 44798 = 110306 + 142152 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) 2\/5 (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61386, 61511, 61668, 61863, 62102, 62391, 62736, 63143?\n\"Answer: q**3 + 10*q**2 + 88*q + 61287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 + 5 = 2*v, -v = -3. Let d(j) = -6*j - 5. Calculate d(x).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150 + -22. Let c = 177 + m. Solve c = -2*p + 3*p - 2*h, 2*p = 2*h + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3350194791?\nAnswer: 3, 79, 14135843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089748788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71462 divided by -82.\nAnswer: -35731\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 2*b. Let a(w) = 4*w + 1. Let j be a(2). Let l be ((-5)\/(-3))\/(1\/j). Let g = -21 + l. Let o(u) = 6*u**2 - 11*u. What is g*o(d) - 33*m(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 35099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700*n**3 - 711*n**3 + 1412*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000534 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -61495979 not equal to -61495978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 5, d: 2, o: 7, i: 3, r: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 112 + 160 = 0. Let u = -13 + 22. Calculate the remainder when z is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 5295*z - 492340.\nAnswer: -5*(z - 956)*(z - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-30)*-6*5. Suppose -3*j = -w*j + 4. Suppose 0 = -3*b - 4*v + 38, -j*b - 4*v = -28 - 24. Calculate the greatest common factor of 126 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20721706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17*x = -26. Suppose x*n + 2 = 0, -1 = -5*b - n + 8. Solve 0*i = 2*i + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.4.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916188.\nAnswer: 2, 3, 7, 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - z = 3519997, -5*z = -s - 889357 - 2630658. What is s rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/280 and 81\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32396384295 and -0.36.\nAnswer: 32396384294.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -105*v - 1267. Give y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - 188*d - 112. Let g be v(-37). Let r(m) = -m. Let c(p) = 3*p - 1. Let f be ((-9)\/(-3))\/((-2)\/4). Let a(j) = f*r(j) + c(j). Determine a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128323*d + 209136?\nAnswer: 128323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683572202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:45 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 6*x + 657 - 658)*(-1 + 2 + 0)*(202 + 200 + 5 - 66) as j*x + d and give j.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 646458965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -241, -1\/4, -3\/7, 3\/5, -2?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v - 2*v**3 - 9*v - 2738 - 5*v + 2888 - v**2 to g*v**2 + u + z*v + a*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -37 + 27. Let f be 77\/14 + 1\/y. Let r = f + -4. What is the greatest common factor of r and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1193285 + 704130. Let n = i + -99845. What is n rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - k)*(0 - 1 + 0)*(2*k - k - 2*k)*(15*k - 35*k**2 - 15*k).\nAnswer: 35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1224*n - 28149. Let c be p(-23). What is u in 0*u**c + 2\/3*u**5 + 8\/3*u**4 + 0 + 0*u + 0*u**2 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -257833 less than or equal to -257836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*u**2 + 251346*g**2*u + 6*g**2 - 6*g*u - 2784532*u**2 wrt u.\nAnswer: -8*g**2 - 5569064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31744, 31742, 31740, 31738, 31736, 31734?\nAnswer: 31732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 3*i - 1. Let w(n) = 2*n**3 + 1348*n**2 + 293013*n + 21587711. Let g(a) = 22*m(a) - 2*w(a). What is b in g(b) = 0?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*h + 12. Let y = -421 - -437. What is the smallest common multiple of y and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24163700 rounded to the nearest 100000?\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -3. What is the units digit of 86\/g + 6\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/(18\/15 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.022 + 0.022. Let h = -1 + -4. Let w = h - -3. Which is the closest to -2\/7? (a) w (b) 3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91827483, 91827484, 91827485?\nAnswer: 91827486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + z**2 + 9. Let b(m) = -3*m**3 - m + 13*m**3 + 9 - 9*m**3 + 4*m**3. Let a(c) = -5*b(c) + 6*v(c). Determine a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25225 - 16190. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300730 minus -5?\nAnswer: 1300735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8187)\/21832 - (3\/((-24)\/107) - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1800\/2025*((-27)\/40)\/9*(-3)\/7.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 0*a)*(3*a**4 - 158*a - 4*a**2 - 143*a + 5 + 299*a).\nAnswer: 3*a**5 - 4*a**3 - 2*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38247535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, 36\/7, 5, -29, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -1 - 2*2. Suppose -184 - 91 = -55*p. Sort p, -2, l in descending order.\nAnswer: p, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/11 + (-10549)\/(-121). Let v = f + 3. Suppose -3*a + 15 = -v. Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 14 - 2. Let y = 9 - d. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1235*f + 1245*f + 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1837, -1846, -1865, -1900, -1957, -2042?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92541167*w**2 + 105159557*w?\nAnswer: 185082334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*c - 7, -5*c - 30 = -5*v - 10. Suppose -2*s + s - 2 = 0. Suppose 1046*y = 1062*y + 64. Sort v, s, 3, y in decreasing order.\nAnswer: v, 3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 3)*(x + 2*x - 5*x + (3*x - x - x)*(1 - 4 + 2) - 2*x - 2 + 2 - 2*x + 3 - 3 - 4*x - x + x) to w + j*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {y: 3, i: 4, l: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c - 5 = 0. What is the common denominator of ((-51)\/(-5))\/(22\/c) and -1\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + (7 - 29) - (2 + -15)) + 97?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321 + 1298. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 700 and 8?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.0502, -2?\nAnswer: -0.0502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f, 0 = 3*p - 7*p - 3*f + 15. Let v(c) = -3*c + 1. Let r(x) = -6*x + 2. Let o(k) = -6*r(k) + 11*v(k). What is the units digit of o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 266*t**2 + 1042*t - 4. Calculate c(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5293 and 6557?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822 + 758. Sort 5, j, 1\/4, 4.\nAnswer: j, 1\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 13, -5, -58, -8, -4 in descending order.\nAnswer: 13, 5, -3, -4, -5, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k - 9536 + 2786. Let j = 294 + k. Suppose -3*t - 2*p + 71 = 0, 0 = 3*t + t - 2*p - 76. Calculate the least common multiple of j and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqrq when four letters picked without replacement from {r: 12, q: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.2 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58311 (base 16) to base 2.\nAnswer: -1011000001100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-16)\/(-72).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 11. Let h(v) = v**2 + 5*v + 43. What is 2*h(k) + 9*z(k)?\nAnswer: 2*k**2 + k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3363 and 51114237.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 29*o**2 - o - 26. Let k be z(-29). Let v(a) be the second derivative of 0*a**2 - 2*a - 1\/6*a**k + 0. Let y(h) = 7*h. Give y(v(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -96?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8606952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.27 + -185.73. Let q = 179.3 + v. Let l = q + 7.70000073. Round l to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5.4, -2\/9, -260, 1, 0 in decreasing order.\nAnswer: 1, 0.3, 0, -2\/9, -5.4, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 298*a**2 + 19374*a + 260.\nAnswer: 2*(a + 65)*(149*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -10.9713 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2159407 or -0.1?\nAnswer: -2159407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*14\/28*-2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -536 + 900. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 32. Let z(x) = 11*x + 63. Let v(j) = 11*p(j) - 6*z(j). Differentiate v(m) with respect to m.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:46 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + 2. Let h = -6 - -12. Let z(d) = -d**2 - 5*d + 61. Let i be z(h). Let l(u) = -16*u**2 + 5. Determine i*y(a) + 2*l(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71 + (31 - 8) + (-2 - -5 - 2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v - 2. What is the remainder when j(5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105705.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(6018\/472)?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:31 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.148 + -1.07339. Let n = 233 + -232.926. Let k = n - z. What is k rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 149 + 1?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71cdd + -1?\nAnswer: -71d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-2) - (-286)\/65. Which is the biggest value? (a) 5 (b) -1 (c) -0.033 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*t + 15, 3*q = -t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let d(s) = 2*s**2 + 2283*s - 159. Determine d(h(j)).\nAnswer: 2*j**4 - 2283*j**2 - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1877 - -1069. Let f = m + 25853\/32. Calculate the common denominator of -17\/24 and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 2*l**2 - l + 1. Let y be 7\/3 - 12\/(-18). Suppose 2*g - y*g = 2. Calculate the remainder when 20 is divided by z(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408757 is divided by 1287?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1 (c) -119 (d) -121 (e) 29 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 - -272. Calculate the least common multiple of 24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 3*y**2 + y + 5. Let c be s(0). Solve c*z = -1 + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23326793 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 82. Suppose 7 = -3*a + y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -52*p + 7450. Determine j(144).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -1778\/5, 4\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 2*g + 7. Let a(o) = -16*o**2 + 9*o + 36. Let y(f) = 2*a(f) - 11*s(f). Find b, given that y(b) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k. Suppose -i = -k*i. Suppose i = -3*b + 51 + 27. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*n**3 - 43*n**3 - 58 + 59 + (-3*n**2 + 3*n**2 - 2*n**3)*(-3 + 0 + 2).\nAnswer: -84*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f4fb (base 16) in base 12?\nAnswer: 1060a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.51 + -10.51. Sort 338, x, 0 in increasing order.\nAnswer: 0, x, 338","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9613 + -3.9613. Let g be 2\/(-9) + (-19)\/(-126). Sort 2, w, -2\/9, g.\nAnswer: -2\/9, g, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1 + m**2 - 2 + 6 - 3. Let n(r) = r**2 + 4*r - 7. Let k be n(-5). Calculate q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11435.6 millennia?\nAnswer: 11435600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1\/2*p**2 - 12 + 12*p. Determine b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7929 divide 1285071150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155688*o*p**3 - 11*o*p - 363*o wrt p.\nAnswer: 934128*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:41 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/904 and -97\/33060.\nAnswer: 7471560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(1\/(-21)). Let j(h) = 2*h**3 + 7*h**2 - 56*h - 3. Let u be j(4). Suppose -4*r + x = -u. Solve -3*m + r = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o + 54. Calculate m(10).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326291 is divided by 10563?\nAnswer: 9401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 - 372*l**4 - 11147*l**3 + 17508*l**2 + 1321668*l - 5662656 = 0.\nAnswer: -339, -29, -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 2*m + m + (1 - 1 - m)*(25 - 2 - 2).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -139.1, -138, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1885 = 27*q + 38*q. Calculate the remainder when 80 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*1*-5 - sqrt(2496)*2)\/((sqrt(3) - (sqrt(3) - sqrt(3)*-2)*-6)*-1).\nAnswer: 21*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (1 + 0)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, -52 = -4*s - 0*y - y. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37529, -75204, -112863, -150506, -188133?\nAnswer: -225744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -210\/263, 15\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/3 - 1\/(-3). Let t(q) = q**2 + 4*q + 4. Let z be t(-1). Suppose d*p = 11*p - z. Do p and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 723 = -12*a - 107. Solve 9*g + 1 + a = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:37 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:59 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*j + 29, -j = -4*i - 5 - 11. Is 0.1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-17) + (-824)\/(-68). Calculate the greatest common factor of x and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -43. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 19. Let l be a(6). Let s = l - 1\/2. What is the common denominator of s and 14\/(-132) - 1\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*v**2 + 210*v**2 + 49*v**2 + 59*v**2 - 66*v**2.\nAnswer: -214*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i + 1. Let b(k) = k**3 - k**2 + k. Let a(o) = -b(o) + w(o). Let s be a(3). Let j(v) = v. Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 + 2\/(2\/5))*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34023291 to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*z - 82 - 3 - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c = 27*c - 8. Let o be (2\/(-6))\/((4\/30)\/c). Is ((-3)\/1 - -1) + -1 + o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 2*v**2 - v - 1. Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -49, -46, -53, -76, -121?\n\"Answer: -l**3 + 4*l**2 + 2*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 22*v - 1. What are the prime factors of o(10)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4735144459.\nAnswer: 61, 179, 433661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2 + 51*w**3 + 0*w - 52*w**3 + 5*w**2 - 3*w. Let j be q(3). Suppose 2*m + 195 = j*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-2)\/8*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257*r**2 - 110*r + 409*r**2 - 2 + 396*r - 1369*r**2 wrt r.\nAnswer: -2434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggorroogrpooggggrgrg. Give prob of picking 1 r, 1 p, and 1 g.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*g = -16746, -10*c + 5*c = 2*g - 20954. What are the prime factors of c?\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 + -4 - (12 + -16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -106784, -49 in increasing order.\nAnswer: -106784, -49, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/713?\nAnswer: 7\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 1597 - 1562 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19*i + 15. Let p be s(1). What is the units digit of (p\/6)\/(((-66)\/(-5652))\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*27\/(-15). Which is the second biggest value? (a) 2\/7 (b) 1\/8 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 2 g when four letters picked without replacement from {m: 2, j: 3, s: 2, g: 2, p: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1 + r)*(-1 - 1 - 8)*(2 - 5 + 2) as q*r + j and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-2 + 3 + 0 + (4 + 3 - 6)*(4 + 1 - 3))*(1 + 0 + 1)*(-3*p**4 + p**4 - 3*p**4 + 2*p**4 + p**2 - p**2 + (2 + p - 2)*(3 - 3 - p**3)).\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151.8004894 + -151.8. Round g to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 2104*p\/7 - 553352\/7.\nAnswer: -2*(p + 526)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910 a factor of 1217504318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(-4\/5))**(-1\/6) assuming u is positive.\nAnswer: u**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3\/5 - 18*w**2 - 756*w\/5 - 1176\/5 = 0. Calculate w.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-289)\/((-511819)\/1012) + (-1490)\/(-14)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 202 = 0. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 92 = 5*y + 28, 4*y = -p + 54. Calculate the highest common factor of 21 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)*2\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 377748 = -20001748. Round a to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 + 200 = -8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 76. Let n be y(-14). Suppose -2*i = n*i - 160. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 60*p + 2*p**2 - 2*p - 142*p - 4.\nAnswer: 2*p**2 - 184*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051.0365 minutes to hours.\nAnswer: 17.517275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 1. Suppose -k*g + 56 = g. Solve 6 - g = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1055 divide 56297965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -98*u. Let q(t) be the third derivative of 0*t**3 - 9*t**2 + 0 + 1\/24*t**4 + 0*t. What is q(j(l))?\nAnswer: -98*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49176 times -0.104\nAnswer: 5114.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let d be h*(2 + -2 - 0). Suppose -y = d, -3*a = -2*a - 5*y - 7. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.967 + -0.033. Let r = u + 21. Let a = -320\/387 - -26\/43. What is the closest to 2 in 3, a, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 1161206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1304726 divided by 1\nAnswer: -1304726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437356 (base 10) to base 5.\nAnswer: -102443411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -2, 16\/39297, 6?\nAnswer: 16\/39297","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 19*d - 25. Calculate a(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*l + q, 18 = 4*l + 5*q - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 445144576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 21. Let q be b\/(1\/(-18)*3). Suppose 8 = 5*k - q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390165922.\nAnswer: 2, 17, 31, 1318943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54845982 divided by 92802\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -1. Suppose j + 6 = 4*j. Suppose 4*r = 4*n - 424, 5*r + 13 = -j. Calculate the remainder when n is divided by v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 3*t. Suppose -l = -3*c + 11, -4*c - 3*l + t*l + 24 = 0. Let y = 1 - c. Let j(w) = w**2 - 4. What is j(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-168))\/((-65)\/429)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*b + 213, 9*d - 564 = -5*b + 11*d. Let c = -54 + b. Let u = -17 + 32. What is the highest common factor of c and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*a - 0. Let n(r) = 2*r**3 - 15*r**2 - 4*r - 14. Calculate the least common multiple of 30 and n(a).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*p + 183*p + 138*p**2 + 177*p + 144*p**2 - 285*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 45. Suppose 5*k + 14 = -l. Let w = k - -11. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551 is divided by 92.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2830646 to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5 - -151) + -4770 + 4729.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.658444.\nAnswer: 3.29222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/12 + 3*w**3\/2 + 7*w**2\/2 + 2*w. Let y be j(-8). Let d(p) = -43*p. Is d(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-6)\/(-3)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3039, -6068, -9079, -12072, -15047, -18004?\nAnswer: -20943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1398, -2789, -4178, -5565, -6950, -8333?\nAnswer: -9714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10255 = -0*s - 2*s, -2*s = 5*z - 51291. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2523, -5022, -7497, -9954, -12399, -14838?\nAnswer: -17277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447720893?\nAnswer: 447720893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10631, -10\/3, -0.1?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**3\/3 + 17*h**2\/2 - 10*h + 508. What is w(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/39785 and -41\/11045.\nAnswer: 87885065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2314*k - 7. Is s(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*y**3 + 25*y**3 + 15*y**3.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2162700 and 4320?\nAnswer: 17301600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let u = d - -2. Let g = 142 - 140. Put u, 3, g in increasing order.\nAnswer: u, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17435*n**3*u**3 + 4*n**3*u + 3*n**2*u + 40*n*u**3 - 141*n*u**2 + 4*n*u + 161*u**2 wrt u.\nAnswer: -104610*n**3 + 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 29 - (97 + (-43 - 66)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4560 divided by -912\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:26 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -279. What are the prime factors of u?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74473.\nAnswer: 7, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 121019*k + 847226. Calculate c(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*w + 3*w, -2*z = -3*w. Solve 4*u - u = z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 56 - 3*d**3 + 56.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1 - (-10)\/8). Let g(c) = -74*c**2 - 4 + 0 + 76*c**2. List the prime factors of g(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**5\/75 + 4*o**4\/15 - 4*o**3\/5 + 16*o**2\/15 - 2*o\/3 + 129. Factor q(z).\nAnswer: -2*(z - 5)*(z - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6168 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, 3.4, -0.001?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54625149?\nAnswer: 3, 6069461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.0579137.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14441862 to the power of 1\/2, to the nearest integer?\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27697166 divided by -114926.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -31.49.\nAnswer: -94.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 528 - 207. Let d = f - 215. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 14*c**2 - 10267053*c + 10267053*c.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(3*1*sqrt(8)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.333163ml to litres.\nAnswer: 0.006333163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204837 is divided by 1736.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*o + 19, -6 = -4*j - o + 7. Suppose j*r + r - 39 = -h, 39 = h - 5*r. Suppose -3*q + h = -3*y, 3*y + 46 = 4*q + y. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2671.55 + 1728308.\nAnswer: 1730979.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -135. What is the highest common divisor of c and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 361645, 362639, 363633, 364627, 365621, 366615?\n\"Answer: 994*x + 360651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(-1\/5)*a)\/a*a*a*a))\/a*(a\/(a*a**8))\/a)**(-1\/19) assuming a is positive.\nAnswer: a**(59\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + z = 2, -7 = -b + 5*b - 5*z. Let w(f) = 11*f + 2. What is w(b)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366311534.\nAnswer: 2, 183155767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 546629 a multiple of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6 + 0)\/((-6)\/(-96)). Let p(a) = -a**3 + 8*a**2 + a - 11. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3433169*u - 3178243 with respect to u.\nAnswer: 3433169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:12 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + -1*sqrt(1573)*-2 + 1 + -2 + -5 + (sqrt(1573) - (sqrt(1573) + 0)) + sqrt(1573)).\nAnswer: -33*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159168, 318339, 477512, 636687, 795864, 955043?\nAnswer: 1114224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 - 2*b**2 - 3*b**2 - 2*b**2. Let w(y) be the second derivative of y**4\/12 - 3*y. Determine w(c(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -41. Solve -l - 1 = n*u, 4 = u + 2*u - 4*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Let b(g) = 2*g + 5. Let q be b(0). Suppose q*c + 5*u + 20 = 0, 0*c - 4 = -m*c + u. Which is greater: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 11. Suppose -3*l + 14 = -16. Calculate the remainder when l is divided by i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19619.\nAnswer: 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21715, -37849, -53983, -70117, -86251, -102385?\n\"Answer: -16134*j - 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/4 - 33*a\/4 + 51264 = 0.\nAnswer: -267, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 2.98. Let h = -0.73 + 0.63. Put 5, h, p in ascending order.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - -613.329?\nAnswer: 655.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3528084.\nAnswer: 5\/3528084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 + 650008*k**4 - 1300000*k**3 = 0?\nAnswer: 0, 2, 162500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -21088?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331 or -21\/10?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 7*s**2 - 11*s - 5. Let b(x) = -17*x**2 + 9*x + 3*x**3 + 7*x + 3*x**2 + 4*x**2 + 7. What is 5*b(k) + 7*g(k)?\nAnswer: k**3 - k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2023\/3 - 674. Let l(b) be the second derivative of 0 + 0*b**2 + 7*b - 5\/12*b**4 - f*b**3. Find the second derivative of l(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*g*g**(-2\/27)*((g\/(g\/g**(3\/11))*g)\/g)\/g**7)**(-30\/7) assuming g is positive.\nAnswer: g**(29110\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 17351040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 31 + (50 - 61 - (-2 + 5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 110024?\nAnswer: -110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5997*u - 23866. Calculate n(4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {y: 2, j: 4, l: 3, u: 4, q: 1, p: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 31*i = -16764. What are the prime factors of i?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, e: 11}. What is prob of sequence ttte?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -89, -228, -423, -674?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -845, -1682, -2507, -3314, -4097, -4850?\n\"Answer: o**3 - 844*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 0*n**3 + 2*n**3 - 36 + n**2 + 15*n**4 + 79 - 42 to s*n**4 + j*n + d*n**3 + h + b*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028401 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3 + 2. Solve -3*p + 2*m = -0*m - w, 3*m = 4*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10621520 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4.8. Let k = 0.2 + 0. Let t = 4821\/556 - 1240\/139. What is the fourth smallest value in k, r, t, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttkktkttkttk. Give prob of picking 1 k and 1 t.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (252\/(-24))\/(2\/4). Let q = -23 - s. Let g = q + -1. Let n(a) = -a**3 - 4*a**2 - 3*a + 1. Determine n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116599863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210430 - -14.\nAnswer: -210416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -22, -21, -20, -19?\n\"Answer: j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 = x, 3*i - 27 = -5*x + 7*i. Let l(t) be the second derivative of t**3\/2 + 4*t. Let q be l(x). What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-12)\/(-192))\/((-1)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**3 - 79*a**3 - 26*a**3.\nAnswer: -77*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68871?\nAnswer: 3, 11, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2413 - 4*k**3 - 2413.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x - 2*x + 9*x. Is 4 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24706, -5, 8\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 - (-6 - -9) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3*(-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**4*r + 37*d**4 - d**3*r + d**3 + d**2*r - 7*d**2 + 14*r - 44 wrt d.\nAnswer: -240*d*r + 888*d - 6*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(6) - sqrt(60)\/(sqrt(160) - sqrt(10))))\/(sqrt(11)*1*-4 + (sqrt(132)\/sqrt(3) + sqrt(44))\/sqrt(4)))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -647.\nAnswer: -60171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7\/5, 0.3, -0.406?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**19\/(r\/(r\/(r*(r\/(r*r**(-1\/5)))\/r))))**(1\/33))**(-3\/11) assuming r is positive.\nAnswer: r**(-94\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-7)\/((-819)\/13))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27338182000 from 1.\nAnswer: -27338181999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.164 to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*n + 1854, 2 = -2*n + 4. Suppose r - 419 = -v. What is the lowest common multiple of r and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -209 and -4394\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 4, q: 2, p: 3, g: 3, z: 3, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 9223672*b - 5317257822724 = 0. Calculate b.\nAnswer: 1152959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 12*q**2 + 14*q - 13. Let c be t(13). Suppose 5*a = -5*o + 25, c = -0*o - o - 2*a + 6. Factor -6 - 2 + 8 + o*f**2 - 4*f.\nAnswer: 4*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-4)*(-5)\/(-15). Let j(b) be the first derivative of 0*b - o*b**2 - 5\/4*b**4 + 8 + 0*b**3. Find the second derivative of j(g) wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19733, 18422, 17121, 15836, 14573, 13338, 12137?\n\"Answer: v**3 - v**2 - 1315*v + 21048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 639 + -633 - ((-14 - -5) + 0 + -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((66\/(-12))\/11*1)\/(7\/(-84)). Solve 0 = -z*t - 561 + 543 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 678 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.73131 + -0.23131. Let g = -2.8 + 1.5. Which is the third biggest value? (a) p (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*l - 110 = 2*l, -f = -l + 28. Let p be 3\/5 - 10\/f. What are the prime factors of (2 + -18)*-2 - p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.7 or -18122?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 6*a**4 + 5*a**4)*(16 + 34 + 111).\nAnswer: 161*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 8 = 60. Let q(y) = 5*y**2 + y. Let r be q(-1). Let u(p) = -2*p. Let a be u(-7). Solve z*i - a = v, -4*v + 2*i = -5*v + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(175))\/(sqrt(27)*2 + sqrt(3) + sqrt(3)))**2 + -5.\nAnswer: -7997\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 9, k: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 12*d**4 - 674*d**3 - 2004*d**2 - 138*d + 1180 = 0?\nAnswer: -5\/2, -1, 2\/3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 2460196?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14489*496.\nAnswer: -7186544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -983 or -966?\nAnswer: -966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 5*b + 30*b - 8*b - 10*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/42*-9*(-49)\/14. Calculate the common denominator of 101\/20 and (53\/j)\/(72\/(-27)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o - 14 = 186. Let a be (o + -2 - 0) + 71. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 2*n + 3. Let o(y) = -y**2 - 18*y - 69. Let i be o(-12). Let t(a) = -14*a**2 - 4*a - 5. Determine i*t(k) + 5*g(k).\nAnswer: -7*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_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: Which is the second biggest value? (a) 0.2 (b) 4\/45 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/6))\/d)\/d**(-7\/2))**(3\/5)\/((d**(1\/3)*d)**(2\/15)\/(d\/d**(-1\/3))**(-38)) assuming d is positive.\nAnswer: d**(-2189\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f - 315. Let q = f + 63. Suppose l - 12 = -q. Solve 0 = o + 2*o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*k - 70 = 0, -z + 61 = 6*k - 7*k. What is the remainder when 829 is divided by z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, i: 6}. What is prob of picking 2 l?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.7 - -3.3. Let g = 6.469 + -20.497. Let k = o + g. Round k to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8222 - 2*y - 25473 + 8629 + 8622.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.014 - -0.114. Let h = 21.9 + -22. Which is the nearest to x? (a) h (b) 0.1 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x - 5*j, 2*j + 4 - 1 = x. Let g(f) = -9*f**2 - 6*f. Let k(u) = -15*u + 53*u - 14*u - 16*u - 7*u. Give x*g(s) + 6*k(s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -147*f**3 - 4*f**2 - 3*f + 8. Let v be b(-3). What is the units digit of (6\/10)\/(10\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*n + 16*n - 2*n - 2 + (-7 + 1 + 31 + (5 - 4 + 1)*(7 - 2 - 3))*(2*n + 0*n - 3*n) + (-3*n + 0*n + n)*(-1 + 3 - 1).\nAnswer: 23*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.12 (c) -10\/17 (d) 3 (e) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(2 - 1) - 0. Suppose 0 = -4*o - 5*s - 216763 - 59912, -4*s = -j*o - 276648. Let y = -31165 - o. What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/5, -26 in ascending order.\nAnswer: -26, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/5 - 21*s**3 + 221*s**2\/5 - 24*s.\nAnswer: s*(s - 24)*(s - 1)*(4*s - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 27783789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 680.466179693\nAnswer: -680.436179693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 2. Determine b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 224 + 77. Let t = u + -11. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/23, -374, 4 in decreasing order.\nAnswer: 4, 30\/23, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 + 345.4. Which is the second smallest value? (a) 2\/9 (b) -1\/6 (c) -47 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2742, -10506, -23466, -41622, -64974?\n\"Answer: -2598*p**2 + 30*p - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*s**3 + 21*s**2 - 1789 wrt s?\nAnswer: 78*s**2 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/(-152) - (-1)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -739313*r**4 + 99*r - 1 + 2 + 739312*r**4 to the form k*r + l*r**4 + s*r**3 + i + q*r**2 and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 13398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:29 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 2443060?\nAnswer: 2443042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(128) + 4*sqrt(128) + 2)**2.\nAnswer: 480*sqrt(2) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 9) to base 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**2\/2 - 5*n - 6. Give t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auvukfevufeevuf. What is prob of picking 3 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let h = -5 + 8. Suppose 0 = 3*j - u - 81, -4*u - 81 = -h*j + u. Let r be 6\/j + 4\/(-18). Calculate s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 563 by 3179.\nAnswer: 563\/3179","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(1\/2)\/(9\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7271 - -6560. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/5)\/p)**(-3\/7))**(-17))**(-46) assuming p is positive.\nAnswer: p**(7038\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:38 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (78\/8)\/3. Suppose -5*q + 4*n = -60, 5*q + 20 = -3*n + 80. Let j be 2\/q*(-32)\/(-24). Which is the second biggest value? (a) l (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077472.\nAnswer: 2, 3, 11, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19341\/10 + -1924. What is the common denominator of b and (-76 - 1)\/(65\/((-975)\/180))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 20. Let f = 10 - p. Which is the smallest value? (a) 2 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21368 is divided by 285.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 903671.9ms?\nAnswer: 903671900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * -1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18\/113, 5\/2, -22?\nAnswer: -18\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*y - 104*y**2 + 323*y**2 - 111*y**2 + 6*y - 109*y**2.\nAnswer: -y**2 + 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/15)\/r**(5\/3))**(1\/22) assuming r is positive.\nAnswer: r**(-9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103190676 by -4.\nAnswer: 25797669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10087, 10115, 10151, 10195?\n\"Answer: 4*d**2 + 16*d + 10067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + 0)*14\/28. Suppose -h = u + 24, o = 3*u + 15. What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -524013936 divided by -6\nAnswer: 87335656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 + b**3*u - 35*b**2*u - 7*b*u + 146*b wrt b.\nAnswer: -24*b**2 + 6*b*u - 70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*s**2 - 9719*s\/8 - 3\/8.\nAnswer: (s - 3)*(3240*s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46\/3, 2, 0, 4, 23.\nAnswer: 0, 2, 4, 46\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3878500 and 3513921?\nAnswer: 1756960500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 - (3 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 + 24 = 5*s, -4*y = 12. Let i(n) = 0*n**2 - s + 0 + 4*n + n**2. Determine i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -190. Let x = 808\/5 - r. Suppose 3*n + b = -b + 14, 6 = -5*n + 4*b. What is the nearest to -4 in 1\/7, x, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**7\/21 + f**4\/6 + 7*f**2\/2 + 10*f. Let b(t) be the first derivative of l(t). What is the second derivative of b(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaggzva.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 26. Let o(x) = -4*x + 4. Let a(h) = 7*h**2 - 21*h - 33. Let y be a(4). Let f(d) = -2*d + 2. Give m*o(q) + y*f(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -415*t**2 + 1535*t**2 + 7*t**3 - 6*t**3 + 400*t**4 - 1116*t**4 wrt t?\nAnswer: -17184*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*z**3 + 1541*z**3 - 2 - 651*z**3 + 7*z**2 + z**2.\nAnswer: 302*z**3 + 8*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7442629 rounded to three dps?\nAnswer: 0.744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1540255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - g + 2. Let t = 246 + -248. Let j be (28\/42)\/(t\/9). Give v(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2.148 (b) 115 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1908)\/14840*(-4)\/9)\/(4\/56)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 15*f**2 + 15*f + 9. Determine w(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 - 12*b**2 + 9*b = 0. Calculate b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -9*d**2 - 4. Let k(p) = -2*p. Determine k(u(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 10*j**2 + 23*j + 10. Let y be (-9 - -3)\/((-4)\/8). Let w be k(y). Is -70 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19685\/4 - -73831\/15. Calculate the common denominator of l and 23\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2ccb382?\nAnswer: -2ccb381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003213 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0e + 5759?\nAnswer: 4c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g - 3. Determine x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - ((-11)\/(-3))\/(-55 + 56).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2. Let n(k) = 14130*k. What is c(n(j))?\nAnswer: 1397598300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9935, 9931, 9927, 9923?\n\"Answer: -4*n + 9939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -6*(2*sqrt(70) + sqrt(70)))\/sqrt(7))\/((sqrt(605) + (sqrt(605) - (sqrt(605) - (1*sqrt(605) + sqrt(605)))))*-6).\nAnswer: -19*sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*d - 131. Let u(a) = -12*a - 60. Let g be u(-6). What is the greatest common divisor of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77)*2 - sqrt(77) - sqrt(77)))))*6)\/sqrt(11) + -3.\nAnswer: -3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -476, -918, -1360?\n\"Answer: -442*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3462*r - 27672. Determine x(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*t + 3*t**2 - 4 + 151*t + 35*t.\nAnswer: 3*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 15*v**3 + 15*v**2 - 35*v - 30 = 0. What is v?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1891.15 and -10128594.\nAnswer: -10130485.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 32 = y. Let r be 17\/y + 12\/(-48). Suppose 0 = u + 4*u - 5*q, 21 = r*u + 3*q. Solve u*s - 9 = -3*k, -5*s + 2*k - 12 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z**2 + 4 + 47*z**2 - 2*z**3 - 2*z**3 + 5*z**3.\nAnswer: z**3 + 122*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 87513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/139320*-10356 + (-24)\/(-54)*5.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 196?\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 564.8196ug?\nAnswer: 0.0005648196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 4*n**2 + 14*n + 11. Give u(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 10 = -18. Determine b so that -7*b**2 + 359*b**o - b**2 - 311*b**4 + 28*b**5 + 12*b**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*p + 5 = 11, 0 = 2*g - 2*p - 6. Suppose 9*x = 4*x - d - 1, 4*x - d - 1 = g. Suppose -3*m - 2*m + 45 = x. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*l = 48, 78*l - 58 = 9*c + 82*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 + 1)) + (-59 - -57)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*3*(-2 + 0). Find the common denominator of -2 + -1 - 22\/7 and ((-2)\/o)\/(1\/64).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 7*h + 0*h)*(3*h - 14*h**2 + 20*h**2 - 7*h**2 - 1) to the form n*h**3 + b*h + s + z*h**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2314.4 - -36.6. Let k = s + -2351.003298. Round k to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7))**(3\/2)*t**8*t**(-3\/16) assuming t is positive.\nAnswer: t**(947\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 46780\nAnswer: 7\/23390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 866*s + 99 + 858*s + 32.\nAnswer: -8*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -272, -551, -830, -1109, -1388, -1667?\n\"Answer: -279*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.199 and 1.4209.\nAnswer: 0.2827591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645663533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9151632 and 576?\nAnswer: 36606528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020*n + 1018*n = -16. Solve -4*b = -n + 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13642 and 333499?\nAnswer: 333498.86358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 1071086?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 10*c + 3. Let f(d) = -7*d**2 + 19*d + 6. Let j(m) = -2*f(m) + 5*q(m). List the prime factors of j(9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2 + 321*m**3 + 2*m**2 - 4*m**2 - 322*m**3 + 2*m. Let b(y) = -y**2 + 3*y - 4. Let u be b(3). What is the units digit of k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253404 (base 7) in base 2?\nAnswer: 1011011100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691 - 243*j + 120*j + 120*j.\nAnswer: -3*j - 691","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -231, -518, -909, -1398, -1979, -2646, -3393?\nAnswer: -4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 723187887 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14112)\/315 + 44)\/(62\/360 - (-4)\/(-18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 36*v + 49. Let o(x) = -x**2 - 12*x + 16. Let r(t) = -7*o(t) + 2*p(t). Is r(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 0, -3, 0.1193?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r + 4. Let q = 9 - 16. Let f = q + 9. What is the least common multiple of n(3) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 61 = -7*y, d = 5*y - 93 + 131 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1 - 2 + 3 + 2*u. Let f(o) = -4*o**2 + 3*o - 3. Let w(j) = -11*j**2 + 8*j - 8. Suppose -a + 8 = -0*a. Let h(y) = a*f(y) - 3*w(y). Give m(h(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 19*y**4 - 1 + 22*y**4 - 1 in the form k*y**3 + x*y**4 + o + b*y + d*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-2*1*2*-4.\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -629947\/24 - -26244. Find the common denominator of w and -91\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 times 23.1109\nAnswer: -2911.9734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (sqrt(39)\/(sqrt(3) + (sqrt(18) + sqrt(18)*-1)\/sqrt(6)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.83126 + 24.7312538. Let z = 1.1 + r. Round z to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26972 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = i - 5*r, 3*r + 4 = 3*i - 2. Let p(m) = 5*m - 2. Let z(c) = 5*c - 2. Calculate i*p(w) - 3*z(w).\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62072 + 10?\nAnswer: 62082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87612*q**2 - 87612*q**2 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 4. Let h be o(-3). Suppose 0*q + 9*q = 333. Let f = q - h. Solve r - 5*r = -f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*g = 3*v - 9, 4*v - g + 6 = 0. Which is the third smallest value? (a) v (b) -4 (c) -13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00958848742 to 5 decimal places.\nAnswer: 0.00959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1152966.\nAnswer: 2305932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from {m: 2, c: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:52 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 2\/3*a**3 + 1\/20*a**6 + 0*a + 1\/4*a**4 - 4\/15*a**5 - 6*a**2 + 0. Find v such that y(v) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-3)\/3)\/(5\/40). Sort 4, v, -5 in ascending order.\nAnswer: v, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 g when four letters picked without replacement from gnxxngggggxngsngggng.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 539998573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)\/sqrt(4) - sqrt(35)\/sqrt(5)*-4 - (sqrt(224)\/sqrt(2) + -2 + 1).\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (18900\/(-40))\/45*-2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 - 5*o**4\/24 + o**3\/3 + 2*o**2. Let b(s) = 2*s + 6. Let x be b(0). Give c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-16 + 7 + -6 + 8) - 16.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 27\/((-243)\/38). Let s = -3 + 2.9. What is the third biggest value in u, -0.03, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyyy when four letters picked without replacement from {y: 5, v: 8, j: 1, c: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903292079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*i - 178695 = 732*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o. Let g(d) = 208*d. Calculate g(x(l)).\nAnswer: -1872*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.23 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 2637\/17. Suppose 12*n = 7 - 19. Is n at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from aauqzzczqaauc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57319.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -25. Let m(w) = 5*w**2 - 7*w**3 + 4*w**v + 2*w**3 - 4 + 2. Let q be m(4). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292616 divided by 146308\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 3*c**2 + c**2 - 13*c**2 - 7*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38 - (-4 + 0 + 4) - 0. Let g = o + -4. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3888691608.313 - -0.4.\nAnswer: 3888691608.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 - -1022. Let w = 63619\/54 - x. Find the common denominator of w and 131\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from xxgvgpxgxxg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-10 + 7 + 5)) + (148 - 80)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67308 (base 10) in base 6?\nAnswer: -1235340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - 5\/((-25)\/(-12503410)). Let k = 1140686 + m. What is k rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g. Suppose -11*c + 12*c - 27 = 0. Let i be c\/6 + (-12)\/8. Let s(f) = i*f**2 - 5*f**2 + 3*f**2. Determine s(h(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*r - 175*r - 208*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7133527*m**2 - 4291448 wrt m.\nAnswer: -14267054*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 3*k - 5. Let n(x) = 2*x**2 + 8*x - 15. Let p(i) = -3*n(i) + 8*v(i). Let q(b) = 1. Determine -p(m) + 6*q(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*g**2 - 159*g**2 + 264*g**2.\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 48*z**2 - 332*z - 19. Determine d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/4 - 1\/4. Suppose -4*l - z = -2 - 5, y*l + 5*z - 3 = 0. Find the second derivative of -4*m - 2*m**4 + l*m + 3*m**4 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, 32*p = 3*n + 34*p - 1277335. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490107772 to the nearest integer?\nAnswer: 22138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -28*p + 20. Let i(f) = -4*f + 3. Let o(k) = 3*b(k) - 20*i(k). Let y(t) = 2*t**2 + t**2 - 4*t**2. Give y(o(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, x: 3, k: 2, z: 2, j: 5, o: 1}. Give prob of sequence xqoj.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/7*j**2 + 4\/7*j**3 + 0 + 16\/7*j = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkvveemkvvkkemeevvkm. What is prob of picking 1 v and 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-2)\/(-3))\/((-60)\/18)). Suppose -16*y + i = -11*y. Which is the nearest to y? (a) 5 (b) 0 (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1086844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/5 (b) 2 (c) -10 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*15\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 17. Solve q = 3*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17256.25l?\nAnswer: 17256250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -45. Let h(q) = 4*q**2 - 5. Let z(p) = 7*p**2 - 4*p - 4. Let g(s) = 15*s**2 - 9*s - 8. Let j(b) = -4*g(b) + 9*z(b). Calculate k*h(l) - 5*j(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -25290.92281 to the nearest one hundred.\nAnswer: -25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 1687?\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551186950 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -69. Let g = n + -44. Suppose 4*i = 7*m - 3*m - 144, -4*i - 189 = 5*m. Sort g, 0, i in descending order.\nAnswer: 0, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 9*s - 76. Let k(t) be the second derivative of 4*t + 1\/66*t**s + 1\/110*t**5 + 0 + 0*t**2 + 0*t**3. Determine a so that k(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100310795?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428198.\nAnswer: 2, 347, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2c58db?\nAnswer: 2c58d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/39, -2, 2, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, 1\/39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/687 or 0?\nAnswer: 1\/687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.29, 9, 31, -2\/7, -1.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/5 + p**2. Let v(s) = -37*s + 2460. Let c(b) = -40*b + 2665. Let g(o) = 12*c(o) - 13*v(o). Calculate g(k(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/(-210) - (-4)\/(-14). Let u = -9110 + 9109.7. What is the second biggest value in -5, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2529 divided by 3?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-1.25.\nAnswer: 11.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.403 + 0.345. Let m = 4.058 + y. Let r = -3.8 - -4. Which is the second smallest value? (a) r (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by -7.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39519, 79051, 118593, 158145, 197707, 237279, 276861?\nAnswer: 316453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 + 384. Suppose 25 - 89 = -4*d. What is the remainder when i is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 11*f**2 - 125*f + 1024. Calculate a(12).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + f + 18 = 0, 6*f = a + f + 6. Suppose a*v - 151 = 21. Suppose -4*n - 9 = -69. What is the remainder when v is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 847742, 847934, 848128, 848324, 848522, 848722?\n\"Answer: k**2 + 189*k + 847552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/33, 6, -0.5, -0.2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20970754 rounded to 3 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + g = 2, -3*c - 3*g - 2 = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.145276834 to two dps.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 - 2*c. Suppose 0 = 7*i - 3*i - 20. Let f = 11 - i. Suppose f = -2*d - d. What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:58 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2, -12*h - 3162 = -7*h + 3*t. Let i = h - -725. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -13\/12 (b) 0 (c) 10 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (2*sqrt(154)*-1 - sqrt(154)))\/sqrt(11))\/(sqrt(672)\/sqrt(6)*-3).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72984013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/126)\/(((-11)\/(-6))\/11). Let d(o) = 8*o - 7. Determine d(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3917 + 3929. Put 2\/19, u, 4 in decreasing order.\nAnswer: u, 4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 710*29\/(16820\/(-58))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-2 - -2) + 18 - -6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 16. Let d = z - 5. Let l = 3 + d. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:23 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 12585*z**2 - 125775*z - 314375.\nAnswer: -(z + 5)**2*(z + 12575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 + 185. Suppose 5*z = 3*j + 13, 5*j = 1 - 6. Suppose 2*t - z*s - l = 0, -t + 11 = 3*s - 34. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:50 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 62*b**2 + 100*b - 491. Is x(47) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572\/(-262)*(-4 + 138\/32)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104325355 - 1?\nAnswer: -104325400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3274 divided by -6\nAnswer: -1637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151179071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 77*c - 571. Determine v(-28).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 + 4 + f**2 + 9 - 5 + 5*f. Let q be s(6). Suppose -5*c + 86 = -q*g, -5*c + 150 - 55 = -5*g. Solve -6*l - c = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*x + 4*x. Calculate the remainder when 58 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24175, -24174, -24173?\n\"Answer: s - 24176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15659220 to the power of 1\/2, to the nearest integer?\nAnswer: 3957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in -4, 145, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67270 is divided by 250.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -3\/4, -5, 0.04, -22, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 7*s - 4*s + 9*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 - -216. Is 22*-5*(-3148)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29020 and -0.01.\nAnswer: -290.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.328 and 0.066.\nAnswer: 4.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 299, -2, -6 in ascending order.\nAnswer: -6, -5, -4, -2, 2, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5016 and 85\/44544?\nAnswer: 9309696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -333*n**5\/20 - n**4\/6 - 361*n**3\/2 - 531*n. What is the second derivative of k(i) wrt i?\nAnswer: -1998*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + b. Let m(j) = 5*j**2 - 6*j + 1. Let z(u) = -5*m(u) - 30*o(u). Let z(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 8*d + 4. Suppose -l - 4 = 5*n + 4, n = -5*l + 32. Let o = 6 + -8. Let i(c) = 3*c**2 + 25*c + 13. Let g(w) = l*a(w) + o*i(w). Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 2*n**2 - 5*n + 3. Let f be o(3). Let v = f - -105. Calculate the greatest common divisor of 92 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/11)\/((-2240)\/(-1920))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102704295 by 34234765.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 10. Let p = -24 - -57. Calculate the remainder when p is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*m - m. Suppose m*q - 4*q = -3, 4*r + q = -11. Let t be ((-2)\/(-4) - -1)*-2. Sort 1, r, t in decreasing order.\nAnswer: 1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 13 - (23 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4907, -4896, -4883, -4868?\nAnswer: -4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/15*d**6 + 4*d**2 + 0*d**3 + 0*d + 0 + 0*d**5 + 7\/24*d**4. Find the second derivative of i(x) wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Calculate (-25 - 1) + 356\/5607*357.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4339.53 from 72.\nAnswer: -4267.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2720*d - 15678. What is the ten thousands digit of t(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32601190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 2*d**3 - d**3)*(3 - 9 - 8) - 75*d**3 + 21*d**3 + 19*d**3 - 39 + 39 + 21*d**3 + (-4*d**2 + 0*d**2 + 3*d**2)*(d + 0*d - 3*d).\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y + y. Find the second derivative of -63 + v**4 + 2*v**y + 4*v + 31 + 38 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -48. Let d = 30 - l. What is the nearest to 1\/3 in 4, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 14) to base 11\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 1.17. Let a = c + 1.05. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/((-165)\/(-4554)*440\/275)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1. Let b(i) = i + 2. Let d(z) = -4*b(z) - 9*m(z). Determine d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/5684 and -47\/812.\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39648 and 20113926?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111010000 - 12?\nAnswer: -111010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16228, -129911, -438470, -1039339, -2029952, -3507743, -5570146?\nAnswer: -8314595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -8\/9 (b) -4 (c) 1\/8 (d) 4008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p - 6. Let q(j) be the first derivative of -j**2\/2 - j + 5. Let k(r) = 6*q(r) - s(r). Calculate k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 - -285. Let n(z) = -z - 15. Let t(r) = -1. Let j(b) = -n(b) + 3*t(b). Let l be j(0). What is the highest common factor of v and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 21. Sort -2\/13, l, 5.\nAnswer: l, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564*l*s**2 - l*s - 245*l*w**2 - 29*s**2*w**3 + s*w**3 + 2*s*w - 4*w**3 wrt s?\nAnswer: -1128*l - 58*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66190488999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 4. Suppose 5*z - 23 - 7 = 0. Suppose n + 3 = -o, 4*n + 14 = -z. Let s(t) = -1. Determine o*h(y) + 10*s(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684 a factor of 266778864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, 3.8, 104, -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1728*j**2 + 34509168*j + 172292053827 = 0.\nAnswer: -239647\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from laryrff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 22928604 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 17 - 2. Let g(r) = -5*r**2 + 2*r**2 - r + r**3 + 4 - 7. Give g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + 0*w)*(14 - 199 - 28).\nAnswer: 639*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000249258461 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f = 2*f + 12*f - 510 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*p - 1869, -38*h + 33*h = -4*p - 9219. What is the remainder when h is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -22. Let y(s) be the first derivative of 1\/2*s**4 + 0*s**2 - 2\/3*s**3 + 0*s - x. What is the third derivative of y(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33242947.\nAnswer: 347, 95801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 5. Let x(g) = -9*g + 11. Let l(k) = 7*n(k) + 3*x(k). Let w = -1 + 5. Determine l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082932 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 164876*q**2\/9 + 3397682146*q\/9 - 13593366728\/9.\nAnswer: 2*(q - 4)*(q + 41221)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 - 2*x - 6. Let l be s(-5). Suppose -22*q = -20*q - 2. Sort l, q, -0.2 in ascending order.\nAnswer: -0.2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 186*s + 746. Let u be c(-4). Let r(y) = -y**3 - 6*y**2 - 2. Let l be r(-6). Sort 5, u, l in increasing order.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s = 20, -3*x = 2*x + s - 18. Let n(i) = 281*i + 3. Let u be n(5). Let h be (-18754 + 4)\/(x\/u). Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 54*m - 5. Let q(y) = 54*y - 4. Determine -6*d(p) + 7*q(p).\nAnswer: 54*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 + 3*l + 3. Let y be 6 - -3*(-32)\/12. Give t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5417 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*x - 4020*x + 82404 = 0 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - ((-2 - 8) + -5 - -6)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7805 and 2247.\nAnswer: 2505405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 440, 600, 848, 1166, 1536?\n\"Answer: -3*o**3 + 62*o**2 - 5*o + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04981 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812533 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + (sqrt(85) - (sqrt(85) + 6*(sqrt(85) + 3*sqrt(85))))\/(-5*sqrt(5)*2) + 4))**2.\nAnswer: 864*sqrt(17)\/5 + 89028\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {p: 6, s: 2, y: 3, i: 4, l: 1, t: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w - 59. Let n(s) = -6*s - 30. Let f(t) = -9*n(t) + 4*u(t). Let c be f(-16). Find the second derivative of -23 - 6*k**c - 20*k - 25 + 48 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72345.746338 - 0.2\nAnswer: -72345.946338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311 + 401. Let z be -1 - (2 - o\/25). What is the nearest to -1\/4 in 2, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(((-141)\/84)\/(-47)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/30 + 2*m**2 - m. Let z(f) = 31*f**2. What is z(d(l))?\nAnswer: 124*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2\/7 - 6722*r\/7 - 320.\nAnswer: -2*(r + 1120)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let s(k) = -k**2 - 10*k + 26. Let r be s(-11). Suppose z*t = 3*t - r. Solve -2*b - 6 = 2*n - 5*b, n + 17 = t*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - k**5 - 3 + (-2*k**2 - 2*k**3 + 2*k**2)*(-k**2 + 2*k - 2*k) - 4*k**5 - k**5 + 3*k**5 - 622*k**5 - 101*k**5 - 564*k**5 + 149*k**5.\nAnswer: -1139*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 18576976?\nAnswer: 1\/4644244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18024, 36249, 54474, 72699, 90924?\n\"Answer: 18225*c - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475018 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 3}. Give prob of sequence app.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44733*a**2 + 44731*a**2 - 6*a**4 - 3*a**4 + 13*a**3 to n + s*a**3 + i*a + l*a**4 + m*a**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15448350*d**3*g**2 + d**3*g + 122*d**2*g - 1347*d + g**2 - g wrt g.\nAnswer: -30896700*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161389289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 5*g**2 - 2*g + 5. Let c(v) = -2*v**3 - 3*v**2 + v - 3. Calculate -5*c(w) - 3*d(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*i**5 + 315832\/3*i**3 + 208320*i**2 + 103788*i + 2240\/3*i**4 + 0 = 0. What is i?\nAnswer: -279, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21*k**2 + 324*k - 649. Calculate x(2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36429904 is divided by 298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 8, 7, 6, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -7b31?\nAnswer: 7b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:33 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*4*(-231)\/924*1\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 15. Let w(u) = 3*u - 472. Determine o(w(a)).\nAnswer: 6*a - 959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 236, 273, 346, 467?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + d = 12, 4*m - 3*d = -0*d - 47. Let q(a) = a**2 - 5*a + 1. Let h be q(4). Put h, m, 2 in descending order.\nAnswer: 2, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 668*p - 1977. Give a(4).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/121 - -534\/605. Let f be ((-1282)\/129)\/((-80)\/(-6)). Let r = f - 1\/215. Put r, v, -0.4 in increasing order.\nAnswer: r, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Suppose -n*l + 20847 = -t - 4151, -2*l = -3*t - 74998. Let k be (t\/(-6))\/(-5)*12. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 2*v + 1. Let u be n(1). Let z = 5 - 6. Is z >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s**3)*(-2*s + 5*s - s) + 1 - 5*s**2 + 0*s**4 - s**4 - 2*s**4.\nAnswer: s**4 - 5*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4028 and 6062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -519 - 2297. Suppose s*d + 102 = 89*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455 + 1 - (82 + -85).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10613584 - 2) + -1 - -1. Suppose 5*u - 28886418 = j. Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 10) in base 13?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -73. Suppose r*s = -d - 2*s + 111, 5*d - 3*s = 509. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*g - 201471 - 121095, -2*g + 107530 = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -738, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {y: 2, b: 2, l: 5, q: 2, g: 2, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -10 + 20 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11 and -33\/521?\nAnswer: 5731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372 - 372 + 408*b to p*b + n and give p.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 14, 1\/3, -0.7 in ascending order.\nAnswer: -1, -0.7, 1\/3, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 3*y. Let k(c) = 207*c. Let v(p) = -69*d(p) + k(p). Let l(u) = u. What is v(l(n))?\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 + -46 + 91 + 124.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 4*c + 3, 4*b - 5 = 3*c. Suppose -i + 3 = 5, 12 = b*r + i. Solve 3 = -2*m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*m**3*r**3 + 2*m**3 + m**2*r**2 - 3*m**2*r wrt r.\nAnswer: 228*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -237, -479, -723, -969, -1217, -1467, -1719?\n\"Answer: -v**2 - 239*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1002871\nAnswer: -200574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 11:09 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 + 264710607.03.\nAnswer: 264710510.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5050021 from 12.\nAnswer: 13.5050021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - -6 - (-2 + 4 - -3) - (121 - 117)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.035 in -0.4, -0.3, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:19 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (80\/68 - (-16 - (-13 - -4)))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 - 18) + (2 - -163). Let f = 348 - s. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 851e8 - 4?\nAnswer: 851e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*a = -640, 20*v + 320 = 22*v + 4*a. Let i = v + -158. Solve -i*o + 9 = -5*t - 12, 0 = -3*o + 5*t + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -6. Let z(a) = -7*a. Let n be z(x). Let f = n - 5. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 2. Let h be c(2). Suppose -3*a - 3 = -2*i - 0, h*a = -5*i - 2. Which is smaller: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 907?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t = 886 - 810 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61530893023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -116*s**2 - s + 25030. Does 10 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -59?\nAnswer: -15\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-670)\/(-15) - 2)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/256)\/((10\/(60\/(-22)))\/(1\/3)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5629\/4 in 0.4, -505, 2\/3?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -46624?\nAnswer: -46623.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -5*n - 8, -2*n + 9 = f. Suppose 4*l - 56 = -4*q + 7*l, -f*l = -q + 14. Suppose q + 0 = j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17*h - 38. Suppose 5*d + 9 = 89. Is p(d) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023066649 to 5 decimal places.\nAnswer: -0.02307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e5 - -3?\nAnswer: e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-2048\nAnswer: -2047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017777 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3*t**2\/2 + 16*t - 10. Let s be c(7). Let g be 1\/s - 48\/10. Does g = -32\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 76*q**2 - q + 1. Let n be w(1). Let c be (41\/9*3 + -9)*3. Let x = n + c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - r - 847 = 0, -4*r = 4*n - 14 + 858. Let q = 321 + n. Which is bigger: q or 108?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 + (-3182)\/(-4884)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8887280 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - -0.31. Let m = 0.32 + -0.59. Let q = o + m. Which is the second biggest value? (a) q (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**2 + 309 - 309)*(2*a**2 - 5*a**2 + a**2 + (-4 + 2 + 1)*(-2*a**2 - 4*a**2 + 5*a**2) - a**2 - 2*a**2 + a**2).\nAnswer: 39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/2))**38)**(-5\/6) assuming w is positive.\nAnswer: w**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**4 - 4*f**5 + 7*f**3 - 7*f**3.\nAnswer: -4*f**4*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -1110001100001?\nAnswer: -1110010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Suppose 3*m + 2*s - 79 = 0, -3*s - 2*s = -c*m + 67. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11470211, 11470208, 11470205?\n\"Answer: -3*p + 11470214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3323 - -10?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-30)\/24)*(-21)\/168. Solve -5\/2*k - l*k**2 - 2 = 0 for k.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102799071?\nAnswer: 3, 1489, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 7.84.\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3454*n**6 + 216*n**2 - 13*n - 2?\nAnswer: 414480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(1*sqrt(5)))\/(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(7)*-2)*6)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.17 - 0.17. Let z = 10 + -7. Let g = 3 - z. Which is the second biggest value? (a) g (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 974.5 - 975. Which is the closest to -0.1? (a) 17 (b) 2\/5 (c) j (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skbdn. What is prob of sequence sb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2890 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -2*t**3\/3 + 2*t**2 + 4*t. Suppose 2*y - 2*d + 11 - 3 = 0, 3 = 3*d. List the prime factors of w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from ollh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 41*c**2 + 4*c + 5. Let y(p) = -p**2 + 2*p + 4. Let o be y(5). Let s = o - -15. Is i(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100100010101101100 (base 2) to base 6.\nAnswer: 144555004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = -6*n + n, 4*f = 4*n + 40. Let q be f\/10 + 0 + -2. What is the closest to 0.1 in -0.03, 2\/3, q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*v - 18, 0 = 2*y - v - 7. Sort y, -4, 4, 8 in ascending order.\nAnswer: -4, y, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -260, -921, -2230, -4409, -7680, -12265, -18386?\nAnswer: -26265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141976 is divided by 916?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 27814.1686 to the nearest 100.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(15)\/(sqrt(48)*-1))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 219\/4 + 3 + 0. Let r = l - 58. Let d = -6 + 11. Sort d, -3, r in increasing order.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91 - 524628\/(-5092)) + -1*(0 + 12)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*c - 2451 + 2451)*(-5 + 2 + 2)*(3 - 2 - 2) to s*c + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 6\/1373 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w + 1. Let h be (-3)\/((6\/8)\/(9\/12)). Calculate g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u + 88. Let h = -77 - -77. List the prime factors of o(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3153, 12356, 27635, 48996, 76445, 109988, 149631, 195380?\n\"Answer: b**3 + 3032*b**2 + 100*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*d + 25, 0*t - t = d + 12. Let s(o) = -o**3 - 6*o**2 + 5*o - 2. Give s(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + w + 3. Let l(z) = -z**2 - 6*z - 7. Let g be l(-5). Let y(x) = -10*x**2 - 3*x - 10. Calculate g*y(m) - 7*h(m).\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113770694*l**3 - 111752084*l**2 wrt l.\nAnswer: -682624164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*w + 16, 5*w + l = 17 - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n. Suppose -263*t = -264*t + 3. Let z be ((-5)\/15 + t)\/(6\/3). Are n and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-3\/17)*r*r\/r**1*(r*r**(-4))\/r)**(-46) assuming r is positive.\nAnswer: r**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*v - 3*v + 39, x + v - 9 = 0. Suppose 0 = 6*a - a. Suppose a = -4*u + 6*u - 14. Solve x = -y + u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)*-1 + -3)*4)**2.\nAnswer: 3456*sqrt(2) + 41616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 7024662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*t - 5, -115*t + 23 = -114*t - 4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 11\/6*g**3 - 37*g + 0 + 7\/12*g**4 - 3\/10*g**5 - g**2. Let j(r) = 0. Calculate r.\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from ffwwrrwrrrrffkywrq?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) 3 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-2))\/((-1)\/(-94)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 8*m**2 - 5*m - 1. Let v(l) = -70*l**3 - 2 + 3 + 9*l + 68*l**3 - 15*l**2. Let k(g) = -4*v(g) - 7*y(g). Give k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-36)\/5 - (-6)\/20. Let c = 46.34 + -1.34. Let k = -38 + c. Put j, 3, k in decreasing order.\nAnswer: k, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -27*f + 118. Solve 0 = -b + 3*c - f, -b + 3*c - 8*c + 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d + 4*f = 42, -30 = -3*d + 5*f. Put 0, d, 5 in descending order.\nAnswer: d, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -59, -89, -119?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 - 11*x**4\/12 + 10*x**3 + x**2 + 477*x. Factor q(w).\nAnswer: 2*(w - 6)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -5, -543, 47 in decreasing order.\nAnswer: 47, -2\/7, -5, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*u**2 - 3 + 17*u**2 - 9*u**2 - u wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 - 4*j + 4. Let f be a(-4). Let t be (-59 - -51)\/(17\/(-16) + 1). Let z = 132 - t. What is the highest common divisor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 166 = 4*v + v, 0 = v + 3*g - 22. Let c = v - 21. What is the remainder when 51 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-5) - 3)\/(-5*(-7)\/1400). Solve 201*a = 197*a + c for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -0.1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472672 is divided by 60309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 + 281. What is the nearest to 3 in 2\/7, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let f be c(1). Does 14 divide f\/6 - (-170)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14456206 is divided by 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-8)*(-1)\/(-4)*32\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -27 (b) 4\/11 (c) 2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*h - 5 - 3 - 211*h - 215*h + 552*h + 8.\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*s + 12*s**2 + s**2 + 0*s**2 - 3*s**2 + (-1 + 0 + 0)*(1 - 1 + s**2) - 3*s**2 - 2*s**2 + 6*s**2 - s**2 + 0*s**2 + 3*s**2.\nAnswer: 12*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(((-8)\/10)\/2). Let v = 12 + f. Solve -3*o + 3*n = 2*n + 1, -2*n = -v*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 4, -4, -0.3, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -141. Let c = -74 + u. Suppose 5*t - 4*f - 583 = 0, 0*f = c*t - 3*f - 348. What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 4) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k**(3\/7))\/(k**2\/k**1) assuming k is positive.\nAnswer: k**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 + 2 - 15 - 7)*(-4*t**4 + 5*t**4 - 3*t**4)*(0*t + 4*t + 0*t).\nAnswer: -744*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 - 465*i**2 + 16 + 15 + (-2*i + 4 - 4)*(-i + 0*i - i) - i**2 - i**2 + 3*i**2.\nAnswer: -460*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59816, -119638, -179460, -239282, -299104, -358926?\nAnswer: -418748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -265\/16987 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - (-13)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a factor of 1931310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(((-1*sqrt(117)*-1 - sqrt(117)) + sqrt(117) - (sqrt(117) - (-2*sqrt(117) + 3)))*-6 + -1))**2.\nAnswer: -5760*sqrt(13) + 68992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/4 or 77443?\nAnswer: 77443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n + 0*n**2 + 2 - 1\/60*n**5 + 1\/3*n**3 - 1\/360*n**6 + 0*n**4. Let k(m) be the third derivative of a(m). Factor k(c).\nAnswer: -c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by 2\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 1 + 0)*(4*h + 2*h - h)*(3*h**2 + 0*h**2 - 2*h**2) + (-1 + 2*h**2 + 1)*(0*h + 4*h - h) to f + u*h**2 + o*h**3 + p*h and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408901?\nAnswer: 17, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312283\/630 - -2478\/5. Calculate the common denominator of m and 139\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1468 + 1457. Which is bigger: j or -192\/19?\nAnswer: -192\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(12)\/(sqrt(12)\/sqrt(3)))**2)*2 - ((sqrt(3) - -2*sqrt(3)*-3) + 3)**2.\nAnswer: -78 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1507 + 50?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3248268?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/17, 6, -2\/9, 23, -0.05, 30?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 8629*y**2 + 448101*y\/2 - 594504.\nAnswer: (y - 17232)*(y - 23)*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j. Suppose 2*p = 3*d - j*d - 62, -5*d + 5*p = -105. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 + 6*m - 3. Suppose -4*w + 15 = -25. Let x be (3\/(-2))\/(6\/(-56)). Suppose 4*l - 2*j = -x, -l - j = -2 + w. What is y(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004235862904 to seven decimal places.\nAnswer: -0.0000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from pwpwwrrpep?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -634, -1502, -2756, -4408, -6470, -8954?\n\"Answer: -2*i**3 - 175*i**2 + 45*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -1.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 + 6*p**2 - 11*p - 3*p - 34*p + 7 + 1 to d*p + v*p**2 + c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12474159 - 16*j**2 - 12474159.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*i. Let o(f) be the third derivative of f**5\/15 - f**4\/24 - f**3\/3 + 13*f**2. Let a be o(i). Solve 2 - a = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, -3*i - 2*v = -44 - 37. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/(5\/25). Let v be (-9)\/(-2) + d\/(-1). Is -16 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/(6\/(-45)) + 3. Is (5 - 3)\/(2\/(-27)*z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)\/l)\/l)\/(l*l\/(l\/l**(2\/9))*l*l))**(-6\/13) assuming l is positive.\nAnswer: l**(112\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 14155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 - 18*g - 66. Let f be z(-5). What is the third smallest value in 133, f, 0.3?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*b = 0, 5*b = -52*r + 49*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162.808 - -162. Let t = p + -0.262. Round t to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33102510 to the nearest integer?\nAnswer: 5753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1281286 and -0.019.\nAnswer: 0.1091286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttcccc. What is prob of picking 3 c and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 102857*c - 411503. Determine a(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 103 + -5?\nAnswer: dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 1, g: 6}. What is prob of sequence gsg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -336, -562, -768, -948, -1096, -1206, -1272?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56995\/36 + -1583. Let g = i - 13\/9. Let z = -13 + 9. What is the closest to 0 in z, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591*z + 593*z = -2*q + 44, -q = -5. What is the closest to z in -1\/5, -6\/41, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 148224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.5, -175\/6, -4, 0.5 in descending order.\nAnswer: 8.5, 0.5, -4, -175\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 2*p**7\/735 - p**5\/35 - p**4\/21 + 8*p**2. Solve u(h) = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-26)*79\/395?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5553154220.\nAnswer: 2, 5, 277657711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*((-20)\/120)\/((396\/192)\/3)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 4, 56, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h**3 + 5*h**2 + 5*h + 1. Let f(s) = s**3 + s**2 - 21*s - 6. Let x be f(-5). Let w be i(x). Do w and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38666644?\nAnswer: 2, 9666661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/3 - 63*g**2\/2 - 163*g - 46. Differentiate y(s) wrt s.\nAnswer: 4*s - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*m - h + 869, h + 11*h - 11*h - 57 = -2*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**0)\/g)**(-4\/9)\/((g*g*g**(-2\/7))\/(g*g*g*g**(-2)*g)) assuming g is positive.\nAnswer: g**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - -1 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12384612?\nAnswer: 2, 3, 344017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = i - 0*q, 4*i - 2*q + 16 = 0. Let y be 0 - i*(-5)\/(-5). Let b(c) = -49*c + 295. Let o be b(6). Solve -3*a - l = -2 + o, 5*a = -2*l + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/2 - 255*y**2\/2 - 860*y.\nAnswer: -5*y*(y + 8)*(y + 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -33*g**3 - g**2 - g - 1. Let i = 5 + -6. Let y be c(i). Suppose v + 5*a - 14 = 0, 0 = -v + a + 2. Calculate the highest common divisor of y and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 + -1198. Let x = -558 - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let k(m) = 3*m - 780. Give g(k(c)).\nAnswer: -3*c + 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17019 and 3?\nAnswer: 3.17019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 39813 = 4*k, -4*k = -5*z + 36029 + 3808. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*2*(-2*-2*sqrt(832) + 5)*-6 + -4.\nAnswer: -768*sqrt(13) - 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -158, -274, -410, -572, -766, -998, -1274?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 211 in -12.7, -0.14901, -0.5?\nAnswer: -0.14901","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 - 361056*c**2 + 113302569*c - 225160890 = 0.\nAnswer: -120665, 2, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 88. Suppose 0*o + 12 = -4*o, -t + 4*o + 138 = z. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16876 less than 0.5?\nAnswer: 16876.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/7 + 33370*d\/7 + 16686\/7 = 0.\nAnswer: -1\/2, 8343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.59 + 0.41. Let s = l - 28.25. Let y = s + 5.64. Round y 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 1740384\/(-11016) - -62 - -96?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179084917*r**6 - 621*r**2 - 337248 wrt r.\nAnswer: -21490190040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let f(h) = 8*h - 16. Let k(z) = 9*z - 17. Let o(c) = 6*f(c) - 5*k(c). Let s(q) = -2*j(q) + o(q). Calculate s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21415, 85695, 192829, 342817?\nAnswer: 535659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*6)\/(sqrt(24)\/(sqrt(6)*4)).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + 0 + -3 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.23036808035.\nAnswer: -0.53036808035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181595 (base 11) to base 8.\nAnswer: 1043233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**5 - s**2 + s + 1. Let u(i) = 2317*i**5 - 894*i**2 + 6*i + 6. Let k(x) = 6*d(x) - u(x). Find the third derivative of k(z) wrt z.\nAnswer: -139740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -117, -74, -33, 6?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 24090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 162 = -3*q, 5*v + 0*q + 2*q - 136 = 0. Let b(o) = -2*o**2 - 5*o + 36 - v + 5*o - o**2. Let a(h) = -h. What is b(a(t))?\nAnswer: -3*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(52)\/sqrt(4) + sqrt(13))*-3)**2 + (sqrt(1573) + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 1)) + sqrt(1573))**2.\nAnswer: -66*sqrt(13) + 14624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661314 (base 10) in base 5?\nAnswer: -411130224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/4 - q**3 - q**2\/2 + 2*q + 3. Suppose -5 = -4*l + 3. Let z = -5 + l. What is u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 549973153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 2*m**4 + 9810*m**3 + 1253*m**2 + 2*m wrt m.\nAnswer: -60*m**2 - 48*m + 58860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 0*n + n - 4*n**2 + n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/8 + 6001*c**4\/8 + 1125750*c**3 + 1125000*c**2 = 0.\nAnswer: -3000, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Suppose -106*x + 1706 = 445*x + 53. Solve -2*d - x*f + 10 = w, 5*f = 2*d - d + 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 170*w + 7225\/2*w**2 + 2.\nAnswer: (85*w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474 = -62*b + 445 - 175 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 172*g = 175*g + 111, 3*c + 6*g = -123 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -240220*k**2. Let b(y) = 6*y**2. What is b(j(g))?\nAnswer: 346233890400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618537?\nAnswer: 3, 206179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 11*z - 2. Let y be (z + 1)\/(30\/15). Let v(s) = 2*s**2 + 19*s - 5. Let g be v(-10). Solve -g*r = -y*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -51*p + 1458. Let w(f) = 61*f - 1460. Determine 6*a(b) + 5*w(b).\nAnswer: -b + 1448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2824 and 6001.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.2 - -2?\nAnswer: 932.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147644.2l to millilitres.\nAnswer: 147644200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2291*t**3 + 1144?\nAnswer: 6873*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 50*d = 0, 6*d = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5069 is divided by 1685?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(1 - 1 - c) - c + 2 - 1 + 2 + c + 3*c - 2*c + (-c - c + 3*c)*(-2 + 3 - 2) to the form d*c + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7059)\/3258*(-12)\/39.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020062 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i - 2. Let y(m) = -m. Suppose 0 = 4*r + 20, 2*v = -v + 2*r + 16. Suppose -j + 6 - v = 0. Suppose -11 = -j*d - 3. Give d*y(w) - n(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/2028 - (-1)\/(-4)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:31 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714163 is divided by 5177?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-10 + -4 - (-25 + 11))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 - (-30)\/24. Suppose -h*s - 1 + 3 = -w, w = s + 1. Suppose m - 16 = w*c, -7*m + 9*m + 20 = -5*c. Which is greater: -14\/23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171)*2 - sqrt(171)) + sqrt(171))\/(sqrt(9) - ((sqrt(9) - sqrt(9)*-1*-3) + sqrt(9))) + sqrt(57)\/(sqrt(36)\/(sqrt(12)*-1))*4.\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - c**4\/24 + c**3 - 31*c**2. Calculate n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2582 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7203595 kilometers to micrometers.\nAnswer: 720359500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866408 is divided by 357?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231\/2 + -115. Determine b, given that 1\/4 + 1\/4*b**4 + 0*b + 0*b**3 - m*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1330, 1, -9.\nAnswer: -1330, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 4. Let q(f) = 25*f + 110. Let v(l) = 55*d(l) - 2*q(l). What is v(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))**2 + -4 - -4*1*sqrt(19)) + sqrt(57)\/(4*sqrt(3))*-1.\nAnswer: 16 + 23*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s - 4. Let c be t(4). Let j = c + -4. Solve 4*r - 13 - 5 = 3*g, j = -3*r + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 704*h*k**2 + 6979*h*k - 4*k**2 + k wrt k.\nAnswer: 1408*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 3197*x + 25717. Calculate k(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30016*n**3 - 4*n**2 - 3*n + 3. Let c be l(1). Round c to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**4 - 13*m**3 + 6*m**2 - 57*m - 182083?\nAnswer: -4*m**3 - 39*m**2 + 12*m - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2135 and 5124?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by 1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 + 77*n**4 - 143*n.\nAnswer: -20*n**3 + 924*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -31. Find the third derivative of -l**4 - 2*l**2 + 3*l**2 + f*l**4 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 1. Determine n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n + 2. Let t(b) = -310*b - 2. Give j(t(o)).\nAnswer: -6200*o - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 36 in increasing order.\nAnswer: -0.3, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -33 + 39. Suppose 0*u = -2*u + 10. Put 3, u, a in descending order.\nAnswer: u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + 2 + sqrt(2) + sqrt(2) + 4 - (2*sqrt(56)\/sqrt(7))\/sqrt(4)) + 1.\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -268, -533, -802, -1075, -1352, -1633, -1918?\n\"Answer: -2*f**2 - 259*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8417 + 8419. Are b and 11\/252 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.11 - 48. Let z = 1.01 + p. What is the fourth biggest value in 2\/7, -3, 2\/3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/2 - 1718*i + 94230 = 0.\nAnswer: -3490, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 7. Let q(p) = -14*p - 20. Let i(x) = 17*j(x) - 6*q(x). Suppose -4*g + 12 = l, 4*g + g - 6 = l. Calculate i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 412*s**4 - 198*s**4 - 4*s**2 + 9*s**3 - 200*s**4 as t*s**4 + y*s**2 + n*s + x*s**3 + g and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, 39, -5, -8.\nAnswer: -27, -8, -5, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3323 (base 6) to base 15\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 14*t - 2600\/11.\nAnswer: -2*(t + 25)*(t + 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/4 + y**3\/3 - y + 36. Calculate h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3305472747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -0.3 (c) 1 (d) 7 (e) 586\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14704 - 14702. What is the closest to 0.2 in -0.4, c, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -0.06. Let f = x + -0.18. Let y = 0.1600026 + f. What is y rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1584a2?\nAnswer: 1584a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/4 - -9)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*z + 518504 = -482*z + 5738*z for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 334337447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 9*i**3 + 11)*(-4*i**2 + 4*i**2 - 2*i**2) + (0*i**3 + 2*i**3 - i**3)*(-3*i**2 + 0*i**2 + 2*i**2) - 3*i**5 + 0*i**4 + 0*i**4.\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*z + 17, 0 = 5*k - z + 13 - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/(-315) - 4*57\/(-54). Suppose 4*m - 7037 = c, -5*c - 1764 = -5*m + j*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33639562 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -686, -2742, -6164, -10946, -17082?\n\"Answer: p**3 - 689*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -a + 9*i + 36, -2*a - 34*i = -2*a + 13*i + 188 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:58 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (792\/(-57))\/(-1) - 3*22\/(-627). Let p(m) = -m**2 + 11*m + 45. Give p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/1 + -5)\/(-2). Let u be (z + 3 - -3)\/(-14). Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122120 - 1?\nAnswer: 122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 2\/9, 0.02, -2, 46\/9 in descending order.\nAnswer: 46\/9, 2\/9, 0.02, -2, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 11\/3. Which is bigger: -13\/4 or w?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 12. Let j = -8 - -11. Let r be (-2 + 2)\/(j\/(-3)). Solve -5*c + r*c - 2*f = -21, 4*c - 28 = o*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/8 + 48273*a**3\/2 - 2330089429*a**2\/2 - 9321516300*a - 18643805000 = 0.\nAnswer: -4, 96550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-18) + (-676)\/24*4. Let a = 417 + k. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (777\/99)\/37*(-48)\/(-28)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1828, -12066, -39850, -93952, -183144, -316198?\nAnswer: -501886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 23*a - 40*a + 4452 = 0. Calculate the remainder when 564 is divided by a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by 618.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/((-16)\/(-84)*-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:37 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 65*f**3\/3 + 47*f**2\/2 - 2*f + 3. Differentiate t(y) wrt y.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 - 6 = 0. Suppose z*i - v - 15 = 0, 4*i + v = 3*v + 10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/((sqrt(24)\/(sqrt(18)\/sqrt(3)) - sqrt(4)) + sqrt(4)))\/(sqrt(27)\/(sqrt(3)*1) - sqrt(324)\/sqrt(4)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5159.99 - -5183. Let f = -23 + y. Let z = -7.01 + f. Which is the third biggest value? (a) 1 (b) -3\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 + 11*k - 14. Suppose -w - 4*w = 45. Let a be u(w). Suppose a = 5*c - n - n, -5*c = n - 376. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/75818?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5819877 to the nearest integer?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 22 - -16) + 0 - -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:13 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/1105)\/(90\/7395)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (6 - 9821\/(-14)). Suppose x + 861 = 2*t + 3*t, -4*t + n = 4*x. What are the prime factors of t?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y**2 + 5*y. Let q(v) = -21*v**2 - 9*v. Suppose 26*r = 186 - 56. What is r*q(t) + 9*k(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 0*g + 0*g. Suppose 0 = -4*t + a + 9 - 2, -4 = -4*a. Let b(z) = -z**2 + 5*z**t - 6*z**2. Give q(b(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4018 and 6.\nAnswer: 12054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x**(1\/2)))\/x))\/x)\/x*(x**(-10)*x)\/x*(x*((x*x**(-2))\/x*x)\/x)\/(x*x**10) assuming x is positive.\nAnswer: x**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/1)\/(9\/24). Suppose o*g - 9*g = 1. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p - 7. Let q be v(5). Is (1\/q)\/(5\/1035) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - (-260)\/60) + -1 + (-119)\/(-21))\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 129153 (b) -1 (c) -178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 26. Calculate the remainder when (-8 - -9)*98\/1 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -23983\nAnswer: 63\/23983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*w + 14. Let r(l) = 1 + 2*l**2 + 3*l**2 - l**3 + 3 - 5*l. What is the units digit of r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -865\/3*h**3 + 1944 + 3564*h + 1314*h**2 + 52\/3*h**4 - 1\/3*h**5 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d + 23*d + 1062. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 927016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 17 - 2*t.\nAnswer: -2*t + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1129751?\nAnswer: 1129756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 78 = -13*g - 18*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let k = 2 - x. Let y = 7013.1 + -7013. Which is the closest to k? (a) -3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 172\/14. Suppose -4*k - 6 = -3*c + 7, -8 = -k + 3*c. Let o = k - r. Solve -2*j - 5*h + 20 = 0, j - o*h = 6*j - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1731*m - 3 - 2 + 5.\nAnswer: 1731*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -15, 4, -4, -3.\nAnswer: -15, -6, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23221 + -2?\nAnswer: 23214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97636921 is divided by 2279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 - 150 = -4*g, 5*s - 3*g = 190. Suppose 5*x - 7*l + 2*l = 125, -5*l = -2*x + s. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 3*a + 4, 16 = 3*c + 5*a. Suppose 4*h - 242 = -2*t, -101 = -2*h - 3*t - c*t. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014334 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*k**2 - 16*k**3 + 125*k**2.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(33) - (sqrt(297)*-2)\/sqrt(9))\/((2*sqrt(192) - sqrt(192)) + sqrt(192)))**2*1.\nAnswer: -413\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4351, -4232, -4121, -4024, -3947, -3896, -3877?\nAnswer: -3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3 - 3)*(5*z - 5*z - 2*z) - 8*z**2 + 7 - 7.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 0.6. Let g = -2 - x. Let j = -0.2 - -2.2. Which is greater: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 790\/(-50) - (-1)\/(-5). Let z = -16 - f. Suppose 3*j + j - 184 = z. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*g - 3, 2*a = -3*a + 5*g + 5. Let r(s) = -s**2 + 12*s + 15. Let u be r(12). Suppose 9 = o + 4*d - u, a*o + d - 13 = 0. Solve o = 4*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3036148562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239939\/20 + -11992. Find the common denominator of 61\/2 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + n + 1. Let l(u) = -u**2 - u - 1. Let m(a) = -2*a**2 - 7*a + 5. Let b be m(-4). Determine b*l(i) + s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404429 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186 + -76. Suppose -3*x = 2*x - r. Let z = -5 + x. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 17. Let o be t(-14). What is the greatest common factor of o and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -71. Calculate the remainder when c is divided by (-35)\/(-2) + 1\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 895 = 955 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300)*4)\/sqrt(10))\/(-2*sqrt(490)*2).\nAnswer: 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc6 - 2?\nAnswer: 5bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90.76 - 0.04. Let n = t - -10.8. Let j = 79.943 + n. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 = -24*t + 38 - 229 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -42 (c) 1 (d) -0.24 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i + 4*f - 2*f, -3*i = 3*f - 27. Put -3, 2, i in decreasing order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/249179038 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9668.54 and -0.094?\nAnswer: 9668.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/78022, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*y)*((1 - 1 + 1)*(-2 + 5 - 1) + 4 - 2 - 1 - 3 - 1 + 5 + 5 + 2 - 5)*(-38*y - 50*y + 118*y).\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8*2\/20)\/(3\/(-945)). Suppose -l = 4*q + k, 2*q + 312 = -3*q - 2*k. Let j = q - -99. Is j a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -360 + 696. Let d be (160 - 141) + (0 - 7). Calculate the highest common factor of d and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-13\/5))*k)\/k*k*k**(-33) assuming k is positive.\nAnswer: k**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v = -9*v - 9*a + 161, 2*v + 7*a + 8*a - 53 = 19*a - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97888, 97890, 97892, 97894, 97896?\n\"Answer: 2*g + 97886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*s)*(121*s**2 - 111*s**2 + 147*s**2) - 5*s**3 + 6*s**3 + 11*s**3)*(-2*s + 0*s + 0*s).\nAnswer: 604*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - 2*u**2 + 4*u + 3. Is d(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -92*w**2. Let o(y) = 228733*y**2 - 9. Determine o(q(a)).\nAnswer: 1935996112*a**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3\/4, -0.86, -4, 0?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 + ((-63)\/35 - -5). Let a = -56 - -57. Suppose -2*f - f = -2*x + 30, 0 = 3*f + 3*x + 30. Sort a, f, b.\nAnswer: f, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100367\/3, -3, -5, -0.2 in increasing order.\nAnswer: -5, -3, -0.2, 100367\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 1 - (14 + -7 + -7 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -206, 1, 231.\nAnswer: -206, -92, 1, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3077 + 4513. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 7*f + 3. Let q be o(6). Let m = q - -68. List the prime factors of m.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 366 + 462 = 0. Suppose 10 = -3*t + 40. Calculate the least common multiple of t and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (7 - 13) + -2 + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*h - 31*h - 51*h)*(8 + 15 - 19).\nAnswer: -252*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6416 = 1141. Suppose -4*t + c = t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:08 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/36*((-3)\/1 - 0). Suppose -r - 3*c + 147 = 0, 367 + 186 = 4*r + 5*c. Suppose 3*d - r = -4*u + w*u, d - 44 = -4*u. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 10*g + 2*l + 9, 5*g + 7*l + 69 = 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/315 and 43\/4725.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20720\/(-481))\/40*(-8)\/16.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - 92*p**2 + 208*p - 90. Let c(d) = -d**3 - d**2 + 1. Let z(a) = 6*c(a) - w(a). Factor z(o).\nAnswer: -2*(o - 4)**2*(5*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -593*q + 1109. Is w(-46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36782024 is divided by 573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -2*sqrt(2736) + sqrt(2736) + 5) - sqrt(2736)))) + (-1 + sqrt(76) + sqrt(76))*5)**2.\nAnswer: 22800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1116 + 1112. Suppose 2*m = 0, 3*c - 6 = -0*c + 2*m. What is the remainder when -5*c\/(-40) - 291\/z is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 16*c - 35. What is the least common multiple of z(11) and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-3*(sqrt(243) - ((sqrt(243) - 5*sqrt(243)) + sqrt(243))) + sqrt(243))\/((sqrt(63) + -5*sqrt(63))\/sqrt(7)))**2.\nAnswer: -245025\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96778*x + 30 = 96783*x - 5*s, 3*x + 72 = -6*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/6*124713\/(-372) + 0 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 33. Suppose -5*r = o*m - 188 + 32, -65 = -2*r + m. Calculate the remainder when r is divided by (-166)\/(-14) - (-186)\/(-217).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -45. Let r = 53 + v. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times 0.04646425\nAnswer: -0.097574925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -63, 7\/2, 2\/63?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y + 4. Let h(l) = 2*l. Let f(d) = 5*d + 1. Let w(q) = f(q) - 3*h(q). Calculate -n(o) + 8*w(o).\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046592707 * -0.2.\nAnswer: 0.0093185414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-10) - (-6)\/15. Let i(f) = -f - 1. Let q be i(p). Is -4\/17 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 + 2*w + 2. Let t(l) = l**3 + 9*l**2 - 9*l + 9. Let n be t(-10). Calculate the remainder when h(n) is divided by (-36)\/(-21) + (-2)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - -3a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 1. Let h be o(-1). Let r = -165 - -170. Put h, -1, r in decreasing order.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.125 - 0.145. Let v be (2\/(-5))\/(1\/10). Let w(h) = 2*h + 9. Let g be w(-6). Which is the third biggest value? (a) x (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2\/5, -16560, -4, -4\/7 in decreasing order.\nAnswer: 17, 2\/5, -4\/7, -4, -16560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b2aa4d - 23?\nAnswer: b2aa2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - l + 5. Suppose -20 = -9*d - 56. Determine m(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7 + 5 - s - 5. Let a be g(-5). Let z(d) = -2 + d**3 - d**2 + 0*d - d + 3. Determine z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.933 and 357.6.\nAnswer: 351.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9d731 (base 16) to base 9\nAnswer: -1182580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/((-2698)\/(-4)) - (-542)\/(-266).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1881862451060\nAnswer: 1881862451061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300367576.\nAnswer: 2, 37545947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135323025 to the power of 1\/2, to the nearest integer?\nAnswer: 55994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91224 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.515 - 0.115. What is the third smallest value in q, 2, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1492519.8us to minutes.\nAnswer: 0.02487533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + 3*m + 52. Let c be j(5). What is the common denominator of 37\/9 and 3\/c*(-5803)\/(-238) + 2?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5544 + 6288. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/17 - (-6 - 30173\/(-4930)) and -53\/406.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 9*p = 12*p - 5, -5*w + p - 15 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 9*j + 7*j - 14*j in the form x*j + v and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 632, 575, 492, 401, 320?\n\"Answer: 3*a**3 - 31*a**2 + 15*a + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77863033 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: Calculate the common denominator of 79\/158016 and -83\/79008.\nAnswer: 158016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Suppose x = 3*d - 2*d. Solve v = -v + d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9635 and 1880?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -468, -467, -466, -465, -464, -463?\n\"Answer: v - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 45757.614 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c*c\/c**(-3\/4)*c**(2\/13)*c\/(c*c**(1\/2)))\/((c**(3\/4)*c*c)\/((c*c\/c**1)\/c*c))**(-41\/5) assuming c is positive.\nAnswer: c**(1349\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 1. Let t(x) = x + 1. Calculate 3*j(u) - 7*t(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4663344 and 462.\nAnswer: 51296784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*v**3 - 3*c*v**2 - 2*c*v + 5930957*c - 513117*v**3 wrt v?\nAnswer: 6*c*v - 6*c - 3078702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -632.5.\nAnswer: -633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1035\/147)*6\/(-48)*14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -5, 2 in ascending order.\nAnswer: -11, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*q = -1921*q + 22253 + 126599 for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 1, m: 2, k: 8, p: 2, t: 2, a: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 7 + 359. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 861207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 34*r - 109. What is v(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - v = -y + 13, -15 = -5*y + v. Suppose 5*j = -a + 219, y*j = -4*a - 42 + 144. Let x = 84 - j. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75191159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:42 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 3*d**2 - 2*d - 1. Let a be (-4)\/1 - (-5 - 1). Suppose v = -4*l + 14, 2 = a*l - 0*l - 2*v. Calculate o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 9. Suppose -18 = -c*u - 3. Solve 6*t = 2*t - u*f + 30, 3*t + 5*f = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -33, -8, 27, 72?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.71933 - 0.03967. Let y = k + 2.72. Which is the second biggest value? (a) -1\/3 (b) y (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - b - 6, 5*b + 31 = 4*y + 13. Let o(q) = -6*q + 4*q**3 - q**3 + 5*q + y*q**2. Suppose 4 = m - k, -5*m + 0*k - k = -2. Determine o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28605b (base 13) in base 10?\nAnswer: 984332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/5)\/((-32)\/27520).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2 - 9. Let q = l - 0. What is the second smallest value in -5, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 252*x + 256*x = 54, -3*b - 39 = -4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 + 9*r + 13. Let u be b(-2). What is the third derivative of 26*t**3 + 129*t**2 - 31*t**5 - 26*t**u - 125*t**5 wrt t?\nAnswer: -9360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3998*d**2 + 1306 + 14*d**3 + 472 - 56 - 5734*d = 0.\nAnswer: -287, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.1 (b) -3\/7 (c) -0.1 (d) 3 (e) 5 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and 62.\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333020 (base 5) to base 8.\nAnswer: -123605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16925327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.174, 1, 0.1, -4, -0.5, 3, -1.12?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3239 = -103*d - 30*d + 54*d. What is the remainder when 584 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 1977152?\nAnswer: 49428800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 60*d + 578 = 0. Differentiate -89*m + 92*m + 73*m + d wrt m.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/28*14\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:52 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581 divided by 3?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1842845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/15)\/(2\/(-530)). Let h = -49 + p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99497\/61292 - -93\/796. Let x = g - -1\/154. Do 13 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2 - 2 + 2)*(2951*y - 2951*y - 72*y**3).\nAnswer: -288*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48441.5075 rounded to the nearest integer?\nAnswer: -48442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37478 is divided by 1100?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244052682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1343 - 15022?\nAnswer: -20405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 10\/(-4))*-6. Suppose -5*p = -j*p - 20. Let n = -2403 - -2403. Solve -p + n = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/((-81)\/(-9)) + (-20)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at least as big as -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 20, 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 664971 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -143, 4, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -181\/2. Let a = p - 3. What is the second biggest value in 5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5, -2*i = 3*l - 6*l - 13. Suppose 0 = g + z + z - 7565, -3*z - 37760 = -i*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-12)\/(-21))\/(-3)*162\/(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2 + 2)*2. Let s be (-3)\/((-30)\/4) - 1. Which is the third biggest value? (a) p (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 20) + (-12 - -8 - -152 - (-5 - -7))?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70102*z**4 + 41687*z**2?\nAnswer: -1682448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 55. Let z = 36 + h. Let a = z - 4. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 16.588?\nAnswer: 16.588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let n = g - 3. Let s = 0.8 + 3.2. Which is the nearest to n? (a) 0 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151254 by 54.\nAnswer: -2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573 + -569. Suppose 0 = -h*y + 8757009 + 1402991. What is y rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**7))\/((u**28\/u)\/u)*u**(-8)*u**15 assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 672085 or 6?\nAnswer: 672085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(400)*-1)\/(-6*(sqrt(2) + sqrt(8)) - -3*sqrt(4)\/sqrt(2))*-6)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -14. Suppose -2*b - 2 = i - 1, y*i - 3*b - 12 = 0. Solve -a - i = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g + 92*g = -25781. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10352 and 824278?\nAnswer: 6594224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 5*y - 5. Let t be k(3). Suppose -5*z - 71 = -6. Let i = t - z. Calculate the lowest common multiple of 3 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -7, 1, 16061, 6 in decreasing order.\nAnswer: 16061, 6, 1, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2131 (b) 1\/4 (c) -1\/7 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-38) - (26 - (-10824)\/(-418))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = g - 0*f - 3, -2 = -5*g - 2*f. Suppose g = -12*d + 8*d + 20. Solve -4*v - 3*z = -0*z + 1, 0 = d*v - 3*z - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2184 and -57\/56.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zolfp. Give prob of picking 1 l and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 1, 2\/9, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*n - 55 - 77, -5*d + 2*n = -327. Let z be d\/25 - 8\/(-20). Solve 2 = -z*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431303 - 2?\nAnswer: 431301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 489, 715, 941?\n\"Answer: 226*x + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/5 + 21*v**4\/5 + 33*v**3\/5 + 3*v**2 = 0. Calculate v.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Let r(d) = -3*d**3 - 3 + 5*d**3 + 7*d**g - d - d**3. What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*o + 4088 = -594*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*6*(sqrt(5)*5*4 - sqrt(5)))**2.\nAnswer: 64980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16197, -32417, -48661, -64929, -81221?\n\"Answer: -12*w**2 - 16184*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*n - n, -3*k + 28 = -n. Suppose -3*t = -3*f + 216, -4*f + t = -2*f - 144. Calculate the lowest common multiple of f and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 75390.\nAnswer: 603120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*d*m**2 - 6*d*m - 33670*d - m**2 + 53672*m - 187 wrt d?\nAnswer: 14*m**2 - 6*m - 33670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obfoyfo. Give prob of sequence bf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 383*n + 4. Let i(k) = -2*k. Determine i(g(u)).\nAnswer: -766*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 660297084 a multiple of 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, u: 6, j: 1}. Give prob of sequence ue.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 48)*((-6627)\/(-188))\/(-141).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 68 = -q, -22 = -o + 4*q - q. What are the prime factors of o*8 + -3 + 7 + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.761036um to meters.\nAnswer: 0.000001761036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2. Let i(x) = x**2 - 3. Let n(j) = -j**3 - 2*j**2 + 5*j + 3. Let a be n(-3). Give a*i(d) + 5*z(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1218 + 1225.6. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = 22*g - 22 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 5, 5.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.152 + -0.152. Let u = -2 + 2. Let b = -0.2 + u. What is the nearest to -1 in j, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6339945 years to millennia.\nAnswer: 0.0006339945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 1056 + 600 = 79*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-61.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 988677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bazuazauua. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/587 at most as big as -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 49850*q + 1. Let k(x) = 4*x**2 + 13*x. What is s(k(y))?\nAnswer: 199400*y**2 + 648050*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Suppose 635 = 5*z - i*l - 2*l, 0 = 3*z + 4*l - 381. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - u + 341, -5*j + 2*j + u = -1019. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(7\/4)*p**(1\/7)*(p**(-2\/15)\/p)\/((((p\/p**(-3\/4))\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(211\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from ylyyysooloosllyylsso?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.46 + 46. Let s = 17.54 - y. Which is smaller: -2\/5 or s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10975, -10980, -10995, -11026, -11079, -11160, -11275, -11430?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*-2)\/(sqrt(28)\/sqrt(4)*-5).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.017 - 3.017. Let l = x - -3.355. Let c = 0.045 + l. Put 4\/5, c, -0.4, -3\/4 in increasing order.\nAnswer: -3\/4, -0.4, c, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/8)\/9)\/((-27)\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Let w be (-56)\/(-1428)*85*(-1)\/((-8)\/3). What is the biggest value in 1, l, -1, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 7. Let t(a) be the third derivative of a**4\/8 - 10*a**3\/3 + a**2. What is 17*d(j) + 6*t(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74296470 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from tocoaataa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2 = 219*g - 216*g, 3*g - h = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-280)*-90)\/((-1)\/(-14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) -4 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 0, 1, -41.\nAnswer: -41, 0, 1, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07095 * 16993.\nAnswer: 1205.65335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -704.89803021 + 705.19803. Let w = 0.35 + -0.05. Let g = w - j. Round g to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjtmtttttmmxxtttttxl. Give prob of sequence xv.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -v - 6*s, -4*s + 3 = -3*v - 7*s. Factor -2\/7*p**4 - 24\/7*p**3 - 162\/7 - 216\/7*p - 108\/7*p**v.\nAnswer: -2*(p + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15250.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 554092 + -554068. What is the lowest common multiple of w and (3\/(-2))\/(3\/(-40))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 + 18*f + 14. Let q be t(-8). Let b = 7 + q. Suppose s = b*s - 388. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -28, -32, -22, 8, 64?\n\"Answer: l**3 - 2*l**2 - 13*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 12*m - 11*m**2 + 49 - 4*m + 10*m**2.\nAnswer: -m**2 + 2*m + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 25. Suppose 0*w = -x*w + 85. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3987513 or -67787742\/17?\nAnswer: -67787742\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9 + (1996\/(-180) - -2) and -41\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-18)\/(-4)) + 6. Let f(j) be the second derivative of -1\/2*j**3 - x*j**2 + 0 + 3*j. What is the first derivative of f(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10072?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-9)*217\/(-3255)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 841035 and 20805?\nAnswer: 61395555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -488 and 115?\nAnswer: -56120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 507297 divided by 4263\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(2)*-3)*1)**2 + 1 + (sqrt(10)\/sqrt(5) - sqrt(2))**2 + sqrt(2).\nAnswer: sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 2, m: 1, l: 1}. What is prob of picking 2 a and 1 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 34338 = -34330. Solve -5*y = -3*l + q, -4*y = 29*l - 26*l - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3329, 11, 3, 4.\nAnswer: -3329, -7, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(2\/4). Let k be 10\/(x + 5 + -2). Suppose 3*t - k = -b, t - b + 2 = 1. 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 -21 + 114 - 93 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1478? (a) 0 (b) 1 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -11111010011?\nAnswer: 11111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5.4. Let l = m + -0.6. Which is the biggest value? (a) -4 (b) l (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -620, -849, -1092, -1349, -1620?\n\"Answer: -7*j**2 - 208*j - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3487, -12419, -27301, -48133, -74915, -107647?\n\"Answer: -2975*x**2 - 7*x - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + ((-124)\/32 - -4))*-1. Which is the second smallest value? (a) w (b) 0.5 (c) -2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.69 + -88.6. Let d = n - 6.4. Is d greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103*w**3 + 72*w**3 - 227*w**3)*(2 + 1 + 0) to f*w**2 + j*w**3 + l + m*w and give j.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 2*m**3 - 47 + 67.\nAnswer: m**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982274541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -512 + 513. Which is the third biggest value? (a) 0.3 (b) y (c) 6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 5, -7.6 in descending order.\nAnswer: 45, 5, -7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/5, 0.5, -0.2, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, p: 1, r: 7, d: 5}. Give prob of picking 3 d.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/(-2)) + -2. Let j(d) = -2*d**3 + 5*d**2 - 3*d. Let x be j(2). Put m, -1, x in ascending order.\nAnswer: m, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959 and 2329.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3039 - -3077. Solve -23*u + 4*u - p = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144)\/sqrt(4))\/(-1*sqrt(6)*-1))\/((sqrt(192) + sqrt(48))\/(sqrt(196)*2)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-3*g + 4*g - 3*g) + (3 - 7 + 2)*(3*g + 0 + 0) + (2 - 5 + 4)*(-74*g + 49*g + 47*g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3 - i**2 - 2*i. Let m be u(2). What is the third derivative of -3*b**3 - 10 - b**2 + m wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9562801*k. Let r(w) = 4*w. What is q(r(t))?\nAnswer: 38251204*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594815711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 85596?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.726 + 3.226. Let i = -32 + 354\/11. What is the closest to 4 in i, -5, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a - 2273. Let l(v) = -6*v - 757. Determine -2*j(c) + 7*l(c).\nAnswer: -2*c - 753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17\/19, 5, 0.8 in descending order.\nAnswer: 5, 2, 0.8, -17\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1 - 3 + 0 - 3*n. Let b be h(-3). Let t(u) = 2*u - 5 + 0 - 1. What is t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527370 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 - 3607350*j + 650648701125 = 0.\nAnswer: 360735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 + 5*k - 3. Let l be t(1). Solve 20 = -7*z + l*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let y(x) = -x - 4. Let m be y(-6). Let u(v) = 4*v + 0*v - m*v + 0*v. Determine u(z(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*a + 0*a = 7377, 12295 = 5*z + 2*a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94203 and 1215?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l**2 - 6*l**2 - 2 + 3. Let s be a(-1). Suppose 0 = 2*z - 4*z + s. What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2253*z**3 + 652*z**2 wrt z?\nAnswer: 13518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**2 + 0*s**2 - 4*s**2)*(-s**3 + 3*s**3 - s**3) + (-s**3 - 1 + 1)*(-2*s**2 - 4*s**2 + 5*s**2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -69, -92, -93, -66, -5, 96, 243?\n\"Answer: o**3 + 2*o**2 - 52*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31195 and 3303?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkeekkekekke. What is prob of sequence ek?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9056*v + 173*v + 17 + 1161*v + v**2 - 14)*(-v**2 + v**2 + 2*v**2).\nAnswer: 2*v**4 + 20780*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/4 (b) 2 (c) 1\/78 (d) 4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 49) + 7 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 40*x - 143. Let l be (4\/3)\/((-2)\/(-24)). Suppose -x = n - l. Solve o + 1 - n = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cco when three letters picked without replacement from {r: 3, o: 2, c: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(2\/21)*f*f)\/f*f)*f)\/(f\/(f**(2\/15)\/f)*f))**26\/(f**(1\/4)\/(f\/(f*f**3))*f**(-4)\/(f\/(f\/f**(-4\/7)))) assuming f is positive.\nAnswer: f**(-43189\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -893*a**2 + 1607*a**2 + 2500*a**4 + 98*a + 1587*a**2 - 4900*a**3 + 1 = 0.\nAnswer: -1\/50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -25 + (83 - 27)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 + (34 - (-27 + 45)) - (0 - 57).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893145, -893564, -893983, -894402, -894821, -895240?\nAnswer: -895659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 1, -12.024, -2\/163 in ascending order.\nAnswer: -12.024, -7, -2\/163, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g - 1. Let a = g - -4. Solve 2*j - a*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-3) - (-2848)\/48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11222 (base 3) to base 12.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.038, -0.1, -2\/15, 124, 2?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72999.324 minutes in days?\nAnswer: 50.693975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 - x - 1. Let n(f) = -f**2 - f + 1. Calculate -n(d) - u(d).\nAnswer: -6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2077, 5, 4, 0 in descending order.\nAnswer: 2077, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 7 = 58 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 10*o**2 - 2*o + 10. Let v be r(10). Let k = 49 + v. Let c(b) = -66*b + k*b**2 + 66*b. Let n(g) = -2*g**2. Calculate c(n(a)).\nAnswer: 156*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(425) - (4 + -2 + sqrt(425))) + sqrt(425) - sqrt(425)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from kiidkd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - 1. Let b be h(25). Let v = -59 + b. Suppose r - 4*r + 3*f = -v, -f = 2*r - 60. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*x - x - 239, 5*u - 2*x = 1249. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose 3*t + 5*n - 34 = -0*t, q*t - 4*n = -11. Solve 0*u + t*u = -x - 3, 3*x + 3 = -3*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*o - 16 = 0, -13 = -5*q - 2*o - 2*o. Let z = -10 - -16. Calculate the smallest common multiple of z and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**2 + 9*y - 36. Let p be q(-7). What is the highest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -47, -53, -41, -5, 61?\n\"Answer: y**3 - 25*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5144 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n + 1. Let a be -5*(n - (2 - 3)). Let w(s) = -s + 5. What is w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/2))\/(b\/(b**(-2\/19)*b)))**(35\/3) assuming b is positive.\nAnswer: b**(1505\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17. Suppose m = 3*j + 2 - 17. Solve -j*g = -4*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2126.4993 minutes?\nAnswer: 1.476735625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzz when four letters picked without replacement from gzgtzfzgjggzggj.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 83*o = 85*o + 6, 2*o = 2*m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(3*l**2 - 2*l**2 - 5*l**2) - l**2 - 2*l + 2*l + 610*l**2 - 1262*l**2 + 53*l + 650*l**2 + 1 to r + v*l + p*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x - 8. Let i be ((-8)\/(-10))\/(4\/10). Let f(a) = 7*a - 106. Let z(j) = -16*j + 247. Let s(w) = -7*f(w) - 3*z(w). Determine i*l(v) + 18*s(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {t: 3, h: 2, x: 2, j: 6, u: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h - z, -5*h - 9 = z + 8. Suppose -2*y - 4*b + 10 = 0, -6*y + 5*b - 50 = -y. Sort y, 2, h in increasing order.\nAnswer: y, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z - 156 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m - 1. Let j(v) = -4*v**2. Let n(y) = -6*y**2. Let o(w) = 5*j(w) - 3*n(w). What is k(o(q))?\nAnswer: 16*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 8*s - 13. Calculate the least common multiple of j(11) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 2*g - 6. Let q(x) = -2*x**2 + 2*x + 7. Let b(p) = 6*f(p) + 5*q(p). Let c be ((-1561)\/14)\/(3\/(-6)). Suppose -c = -5*u - 228. Give b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46350 and 0.08.\nAnswer: 3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -34*c**3 + 9*c**2 + 4*c + 1. Let n(f) = f**3 + 2*f**2 + f. Determine -3*n(x) + v(x).\nAnswer: -37*x**3 + 3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10422 + 10426. Let p(k) = -6*k - 3. Let v(c) = -5*c - 3. What is j*p(d) - 5*v(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2371774593?\nAnswer: 3, 790591531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 528?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15951 + -15947. What is the highest common factor of 3686 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20999010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 69\/2 of a minute?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(176) + (sqrt(11) - (2 + (-1*sqrt(11) - sqrt(11)))).\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 379.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(8\/9)*(q*q**(-2\/31))\/q*((q*q**(2\/47))\/q)\/(q\/(((q\/q**(5\/2))\/q)\/q)))**(-40) assuming q is positive.\nAnswer: q**(2313580\/13113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1, -6 + 2 = q - 4*a. Solve 2*c - c - 5 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*l + 434*l + 5984 = -1537*l - 28456 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -101082*d - 2223791. Calculate c(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 37, 46, 57, 70, 85, 102?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2136 + -1006. Let g = y + -415. Let l = 172 + g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 71 + 165 + 4*w + 55 + 54 - 397.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 3 - 6 + 0*i - i in the form t + o*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 - 1661 = -25*y. Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**2 - 2*k + 4*k**3 - 14*k**2 + 42*k**2 - 4*k**2 to the form s*k**2 + w + g*k + m*k**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*y - 7 = 0, -8 = 5*g + 35*y - 37*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - -4*sqrt(2)*2 - sqrt(200).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 35 - 17 = 0. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + j - j)*(0 - 2 + 3)*(2 + 3*j - 2)*(-3 - 4 + 4) in the form t*j + v*j**2 + d + f*j**3 and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.903779215184 + -3.\nAnswer: -11.903779215184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27870, 55747, 83624, 111501, 139378, 167255?\nAnswer: 195132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*-1 + (4234936 - -71). What is l rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 2*z**2 + 4*z + 3. Let y be f(-2). Let p = 26 + -26.3. Let i = -2.1 + 2. Which is the closest to i? (a) p (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112220221212 (base 3) to base 15\nAnswer: -5c08b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91009767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -5 (b) 0.1 (c) -1\/2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - 28) + 31 - (4 - -2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*i - 60*i - 54*i - 55*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 106 = 13*p - 24, -2903*p + 2908*p + 4*b = 50 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.45, 4, 6, 18, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 7\/1142, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - -1)\/1 + 3. Let h(x) = 8*x**2 - 14*x - 51. Let o(z) = -3*z**2 + 5*z + 17. Let v(n) = -4*h(n) - 11*o(n). Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000196150251 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/54*(-78)\/(-416))\/(2\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42128 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1644348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110010102021 + 22?\nAnswer: 110010102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 166*y = 1276 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4755912, -9511841, -14267784, -19023747, -23779736, -28535757, -33291816, -38047919?\n\"Answer: -g**3 - g**2 - 4755919*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23513 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436068 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 780869*i + 780872*i - 1561742*i. Let w(f) = 839*f**2 - 11*f. Let h(a) = 210*a**2 - 3*a. Let k(d) = 22*h(d) - 6*w(d). Give z(k(r)).\nAnswer: 414*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - k + 2*k + 2*k**2 - 3*k + 5*k as v + j*k**2 + q*k and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 0, t + 6*b - b = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 11*d**2 + 187*d - 35. Let n(y) = y**3 + 4*y**2 - 68*y + 12. Calculate -4*m(k) - 11*n(k).\nAnswer: -3*k**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) 1\/8 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/((-36)\/(-87))*(-1)\/(6\/(-444)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26677 is divided by 1111?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46384341?\nAnswer: 3, 211, 73277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v + 56*v + 14 + 3.\nAnswer: 5*v + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471691247.\nAnswer: 19, 1319, 98627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a**2. Let d(o) = 5*o. Let l(t) = 28*t. Let x(w) = 33*d(w) - 6*l(w). What is f(x(m))?\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - (-4 + -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.8066 less than -37?\nAnswer: -423.8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*y**2 - 45*y.\nAnswer: -5*y*(4*y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67258.72 days to nanoseconds.\nAnswer: 5811153408000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.53 - -61. Let h = g + 0.83. Which is the smallest value? (a) 4 (b) -6 (c) h (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-1 - -2)*-2. Suppose t*b = -3*b + 25. Let k(s) = 7*s - 15. What is the remainder when k(b) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284600 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2 + 4*n - 3. Let s(i) = 4*i**2 - i + 1. Give 22*s(r) + 6*x(r).\nAnswer: -2*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 38*y + 3. Let s(n) = -n**2 + 1. Let t(p) = -o(p) + s(p). Let x be t(16). Is x\/(-10) + (-10)\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 3*s + 3*s - s - s + (3*s - 3*s - s)*(3 + 1 - 5) + 4 + 2*s - 4)*(6*s - 4*s - 3*s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 4 - 152*p)*(-2 - 19 - 9) to the form m*p + i and give m.\nAnswer: 4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4b?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + 3c?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - i**2 + 3*i - 1. Let u be z(1). Let r(c) be the first derivative of 0*c**u - 1\/5*c**3 + 13 + 0*c. Solve r(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36*2*(-9)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m*m*m**(-6)*(m\/(m\/(m*(((m*m*m**(-2\/3)*m*m)\/m)\/m)\/m)))\/(m\/m**(-2\/5)) assuming m is positive.\nAnswer: m**(-151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -227034 + -1?\nAnswer: -227035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1178 divided by 1\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*g. Let j(x) = -x**3 - 5*x**2 - 5*x - 3. Suppose -5 + 1 = c. Let l be j(c). Solve g*z = z + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*b = -36 + 7, -c + b + 14 = 0. Calculate the remainder when 1594 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*((-1)\/(-2) + (-434)\/1364)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/7, -0.1, 4.\nAnswer: -2, -0.1, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b358b + 6a?\nAnswer: b3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1745 (base 8) to base 13.\nAnswer: 5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 5:03 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:54 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 43*i**2 + 23*i - 3. Let d be k(2). Suppose -435 = 4*s + 5*v, -5*v - d = 2*s - 0*v. Is s at least -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*b**2 + 3 + b**3 + 21*b - 23*b**2 - 2 - 105*b**2 as y*b**3 + s + f*b**2 + g*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 104.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:46 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. What is the least common multiple of 1 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19206 = 46*g - 18838 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -31. Let y = f - 67. Let n be 1\/12*y + (-4)\/(-6). What is the closest to 0.1 in n, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55620 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 9251*w - 251237. Calculate i(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(1\/8)*d)))\/(d\/d**9)*((d*d**(-2\/3))\/d)\/d*d*d**1*d)**(1\/16) assuming d is positive.\nAnswer: d**(251\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 4, x: 2, r: 5, z: 4}. What is prob of sequence zhc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/12*3217*(-18)\/12.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -807*o**3 - 2152*o**2 + 2152*o. Let r(j) = -j**3 - 2*j**2 + 2*j. What is -p(b) + 1076*r(b)?\nAnswer: -269*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8 and 873\/132*28\/42?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 times 6.1?\nAnswer: 40.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 7480858.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*l**2*w*x - 5*l**2*w*y - l**2 - 5*l*w*x - 16*l*x - 3*x*y wrt w.\nAnswer: 7*l**2*x - 5*l**2*y - 5*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-514 + 421 - 479 - 759)*(-1 + 1 - o)*(1 - 1 + 1) as c*o + y and give c.\nAnswer: 1331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1364*s**2 - 1363*s**2 - s - s as d*s**2 + f + h*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2883048737 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 5*n**2 + 10*n)*(2 + n - 2) + 6*n**2 - n**3 - 6*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/102 and 169\/504.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 7. Let q(j) = 82141*j - 41070*j + 6 - 41069*j - 2. Calculate 5*q(d) - 3*w(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*k - 3 = 0, 2*c + 2 = 2*k - 0*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185568812 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.601*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.289*-9\nAnswer: 2.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-896)\/(-288) + (-127)\/9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*-1 - (-5 + 7). Let a(o) = -o - 2. Let b be a(k). Solve b*c + 15 = 0, 4*c = 3*t - 5 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-1)\/18) + (-4 - 39)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*o + 2*o + 6 = 0, -3*n - 6 = -5*o. Let x = 7 - 5. What is the third derivative of -t**2 - t**6 + n*t**x + 0*t**6 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*s + 37*s - 1026*s**2 - 190*s**2 + 1 + 3 in the form x*s + w + d*s**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -902\/563?\nAnswer: -902\/563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -116.1, 2 in increasing order.\nAnswer: -116.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*r)*(-3 + 2 + 0) - 7*r - 8*r - 19*r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248*z**2 - 112*z**2 + 97*z**2)*(-7*z - 27*z + 5*z - 3*z).\nAnswer: -7456*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -52.3. Let a = -5.7 + i. What is the nearest to a in -10, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = 3*q - 506. Let a be 16\/20 - q\/(-5). Let i be (-18)\/a*18\/27. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 0 + 0 + 0*q - 4*q**2 + 0*q + 0 + 0 + q**2 + (-2*q + 1 - 1)*(-q - 3*q + 6*q) - 5*q**2 + 2*q**2 + 2*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12922, -13069, -13216, -13363, -13510, -13657?\nAnswer: -13804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and 43\/768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -484*d**4 + d + 34.\nAnswer: -5808*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(98) + 5 - sqrt(98)) + -3)*-1)**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:53 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1) + (-39 - -49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300584200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 t when three letters picked without replacement from xxtttxtxxxtbxtxxxxx.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 1031810?\nAnswer: 7222670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -97. Let x be (-846)\/(-24)*(-8)\/286. Let k = x - -14\/13. Is t greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-4)*l*l)*l**(-2\/7))**26 assuming l is positive.\nAnswer: l**(312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975 divided by -10.\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*t + 5*t = 25349, -3*a + 3*t + 75975 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11559 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43259 + -32627. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 + (-26156)\/468)\/((-32)\/36).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9396236 and 118062?\nAnswer: 591962868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -32095?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 55*o - 2*r - 160, -49 = 5*r - 28 + 34 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*v**2 - 107*v**2 + 33*v**2.\nAnswer: -341*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 296*o**3 - 1686*o**2 + 2664*o + 15336 = 0. Calculate o.\nAnswer: -142, -6, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (536\/(-30) - -18)\/(4\/9).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 (base 16) in base 10?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 598220 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 27. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(447\/(-298)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200394*d**3 - 11835*d**2?\nAnswer: 1202364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3*i + 3*i)*(-2*i**2 + 5*i**2 + 36*i - 5*i**2).\nAnswer: 4*i**3 - 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202 * 0.2.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0 - 2 - n)*(5*n + n + 2*n) to the form r + c*n + g*n**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709842194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) + 1*(sqrt(931) + 0) - sqrt(931)) - (-3 + -1 + sqrt(931) + -2))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-144) + 4371\/6864 - 30\/195.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -106\/105, -0.2, 2\/7, -0.5, 2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h - 25. Give w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 - 2*a**2 + 1. Let g be i(-1). Let p be g*2\/(-15)*-6. Let r(w) = 3*w**2 - w + 3. Let y(x) = x**2. Let d(k) = p*y(k) - r(k). Determine d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/8 - 41*j**2\/2 - j - 4. Let t(b) be the second derivative of d(b). Let o(v) = -93*v**2. Calculate o(t(a)).\nAnswer: -837*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545955*u**2*z**2 + 13*u**2*z + 37867443*u**2 with respect to z.\nAnswer: 1091910*u**2*z + 13*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 61232626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 265961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Let q be ((-3)\/3)\/1 + n. Solve -x - 10 = -4*u, -q*x = -3*x - 4*u + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-66))\/(12\/18). Let t = -17\/33 + f. Which is the closest to t? (a) -2\/3 (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 15. Is 9 a factor of 44 + ((-4)\/2 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 23124*p**2 - 21*p - 28. Let g(d) = -46248*d**2 + 45*d + 60. Give -7*g(l) - 15*i(l).\nAnswer: -23124*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/7 - (-6)\/(-21). Find the first derivative of -t + 2 + 2*v - 5*v wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(98) - (sqrt(98) + -4)*-6) + sqrt(98))**2 + -6*(-3 + -4 + sqrt(98)).\nAnswer: -16170*sqrt(2) + 41130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5dc47 + 166?\nAnswer: 5ddad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 4*o. Let r be (-3)\/15 + 52\/10. Suppose 0 = r*p + o - 93. Solve 6 = 4*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m - 1. Let y(f) = -2*f**2 - f - 2. Let k(d) = 2*b(d) - 2*y(d). Factor k(n).\nAnswer: 2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b + 2*b)*(-50*b + 129*b - 181*b).\nAnswer: -510*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -882, -1956, -3460?\nAnswer: -5394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from zuzcuaczucazumcuvua?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-7)\/7)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43819 + -1?\nAnswer: 43818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18119999*f**3 - 5*f**2 - 13*f - 9. Let p be k(-1). What is p rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(2 - (1 - 0)). Let h be ((-30)\/70)\/((-18)\/84). Find the third derivative of -c*a**h + 17*a**5 - 6*a**5 + 8*a**5 wrt a.\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*d = 162*d - 230705 - 187327. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 1425*d. Let v(b) = -339*b. Give v(u(m)).\nAnswer: -2034*m**2 + 483075*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) -1\/5 (b) 1\/7 (c) 0 (d) -11 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 133 = 18*t. Calculate the highest common factor of t and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 808 and 23118092?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 9 = -135. Let q(r) = 22*r + 344. What is the remainder when q(p) is divided by (-1)\/4 + (-57)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/5))**(5\/17)\/(r\/(r*r\/r**(-4)))**(-25\/3))**(1\/55) assuming r is positive.\nAnswer: r**(-2107\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - t)*(-1 + 1 - t**3) + (t**4 + 0*t**4 - 3*t**4)*(-1 + 1 + 4) - 2*t**4 + t**4 - 4*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000000 (base 2) to base 5.\nAnswer: -10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*j - 447*j - 204 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2950 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*d**2*g**2 + 5*b*d*g + 2*b*g**3 - 4*b*g**2 + 39*b + 2*d**2*g wrt g?\nAnswer: 8*b*d**2 + 12*b*g - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 + 411. Calculate the greatest common factor of 1166 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*p - 177*p - 232 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-1 + 0)*-68. Let k = r - -40. Let g = k - -48. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - 1. Let g = 195 - k. Let v = 394 - g. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + 18\/5. Let u be 19 + -2 + 4 + -3. Suppose -4*d = -d - u. Calculate the greatest common divisor of d and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15654.5 millilitres?\nAnswer: 15.6545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15539325 is divided by 2952?\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73799*o + 73799*o + 24*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 85, 99, 127, 175, 249, 355, 499?\n\"Answer: m**3 - 2*m**2 + 5*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 11}. Give prob of sequence ltt.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/583, -0.1, -355, 7, 0.1, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001210111 - -11202101?\nAnswer: -1220001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*r - 10 = 0, -i + 3*i + 4*r - 12 = 0. Suppose -z = 4*x - 0 - 7, 0 = -i*x + 8. Put -3\/4, z, 1\/2 in descending order.\nAnswer: 1\/2, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412043 + 114?\nAnswer: 412201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1651, -6425, -14325, -25351, -39503?\n\"Answer: -1563*l**2 - 85*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*i + 878*i - 37*i + 2*i**2 + 2.\nAnswer: 2*i**2 + 1099*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2*o**3 + 280*o**2 + 284*o**2 + 286*o**2 - 844*o**2 + 8*o**4 to h + q*o**4 + n*o**2 + z*o + j*o**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4 - 1140*z**3 + 185594*z**2 - 6596040*z + 66955592 = 0.\nAnswer: 22, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14568, 28884, 43222, 57576, 71940?\nAnswer: 86308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -2. Let u(o) = o**3 - 74*o**2 + 404*o + 275. Let w be u(68). Put q, w, -25, 5 in ascending order.\nAnswer: -25, q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1828292 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13206 is divided by 1320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1077, 2205, 3333?\n\"Answer: 1128*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/2 - 4863*c - 9724 = 0.\nAnswer: -9724, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v + 16. Let o(r) = -5 - 2*r - r - 2*r. Suppose -w - 6 = -3*w. Suppose -w*x - 11 = 19. What is x*o(y) - 3*p(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 50. Let v = 70785 + -70743. What is the remainder when v is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 + 5*a**2. Let b(s) = 2*s. Give b(x(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5774*a. Let c(m) = 3*m**2 + 333*m - 2. Calculate i(c(j)).\nAnswer: 17322*j**2 + 1922742*j - 11548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 166*i**2\/7 - 516*i\/7.\nAnswer: 2*i*(i - 3)*(i + 86)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 875 and 1250?\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142.4 + 141.717. Let w = b + 0.383. What is the second smallest value in -28, -0.4, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 4*u**2 - u + 5. Determine o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from pozpooopllzlo.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071 - -1082. Which is smaller: i or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 2430*c**2 + 393660*c - 21257640.\nAnswer: 5*(c - 162)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2658, -6565, -11704, -18081, -25702, -34573?\n\"Answer: -n**3 - 610*n**2 - 2070*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22273*p - 96 = -22289*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeegeseseewseeess. Give prob of picking 2 e and 1 w.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 74b19c (base 15) to base 11\nAnswer: 3155026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*y + 3 + 58*y**2 - 61*y**2 + 52*y + (-y - y + 4*y)*(y - y - y).\nAnswer: -5*y**2 - 14*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*s = -1985*s - 99314 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 = -5*h + 232. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 2:35 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 20, 4*d - b + 16 = 3*b. Suppose d = -2*v + 34 - 12. Let l = 70 + -15. Calculate the greatest common factor of l and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 8 = -12*u. Put u, -7\/5, 5 in descending order.\nAnswer: 5, u, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q - 14. Let l be b(0). Let h be (-8)\/(-3) - l\/(-21). Solve -h*u - 2*u - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30998045 rounded to the nearest 10000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1288 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1701424 and -40\/1169729?\nAnswer: 18715664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218541490 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.27821 and -1544.4.\nAnswer: -1557.67821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1842 and -403130992332.\nAnswer: -403130992331.8158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j - 5*j - 7*j + 11*j in the form h*j + y and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28336049 or 311696538\/11?\nAnswer: 28336049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3056088422 rounded to four decimal places?\nAnswer: 0.3056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j. Let b be t(4). Let m = -976 - -1739. Suppose 4*p = -2*l + 860, -3*p = 5*l - m - 1422. Calculate the highest common factor of b and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 - 51*w + 171. What is h(-13)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 - 20575532*k\/7 - 61726632\/7.\nAnswer: 4*(k - 5143886)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -12*m**2 + 8\/15*m**6 + 122*m - 9*m**4 + 0*m**5 + 50\/3*m**3 + 0. Solve w(z) = 0.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 74*n. Let p(t) be the second derivative of -18 + 0*t**2 - 4*t + 1\/2*t**3. What is p(c(l))?\nAnswer: 222*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(15\/(-88085)) + 2\/3. Suppose u - 8*u = -o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -380, -19, -4, -2\/3, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935351.\nAnswer: 29, 127, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 3*f**2 + 8*f + 4*f - 2*f**3 + f**2 - 10*f in the form n*f**2 + p + d*f**4 + o*f + k*f**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b**2*h + 2*b**2*k + 631*b*h*x + b*k - 5071*h**2*k + 269*h**2*x + 34*k*x wrt k.\nAnswer: 2*b**2 + b - 5071*h**2 + 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560424021 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - h, -2*s - 4*h = -7*h - 7. Suppose 0 = -s*f + f. Solve -d**2 - 2 + f*d**2 - d**2 - 4*d = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcc when three letters picked without replacement from ccccxxcxcxxx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8621*j + 3*l = -8628*j + 47, -5*j = -7*l + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83209826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2406638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -241390.\nAnswer: 1\/48278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -273*p + 99*p + 91*p + 10 + 89*p. What is q(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11501?\nAnswer: 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 - 60356*v**4 + 663584*v**3 - 2292064*v**2 + 3136320*v - 1447488 = 0.\nAnswer: 1, 2, 6, 15078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - -2)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by 37744\nAnswer: -37\/2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8427086, 16854169, 25281252?\n\"Answer: 8427083*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/27946823 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((-3)\/((-9)\/6)). Suppose -3*s - 38 = y*u + 6, 2*s = -2*u - 26. Let i be 2\/s + 26\/8. Solve -2*j - j = -i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-1 - 14*4)\/((-118)\/(2596\/(-33)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.6 - -29. Let w = 2.192 + r. Let b = -57.292 + w. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 109*t - 917. What is l(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*k**3*m - k**2*m**2 - 3*m**2 - 3*m wrt k.\nAnswer: -135*k**2*m - 2*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, 30, -1272, 3 in descending order.\nAnswer: 151, 30, 3, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (21505 - 21505 - 603*f)*(4*f - f - 5*f)*(-3*f + 6*f - 2*f) as b*f**2 + i*f + d*f**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -18, 3, 81, -3\/28, 38 in decreasing order.\nAnswer: 81, 38, 3, -3\/28, -2\/9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeo. What is prob of sequence eoee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.648 + -2.7. What is d rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4053\/6562 - (1 - (-7)\/((-119)\/15)). Which is the closest to v? (a) -2 (b) 294 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(-2)*b))**(-1\/16))**(-5\/7) assuming b is positive.\nAnswer: b**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 364 and -245601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 11. Let q(c) = -10*c + 22. Calculate -4*q(n) + 9*u(n).\nAnswer: -5*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k. Let v be 6\/4 - 9\/(216\/132). Let x(s) = 2*s - 6*s - 4*s. Let o(p) = -4*p. Let h(d) = v*x(d) + 9*o(d). Give h(g(i)).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -258\/5 - 127\/5*z + 1\/5*z**2.\nAnswer: (z - 129)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, 318326 in descending order.\nAnswer: 318326, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_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: Let o = -2376.852 - -21.152. Let u = o - -2222. Let a = u - -143. Round a to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48947812, -48947813, -48947814, -48947815, -48947816, -48947817?\nAnswer: -48947818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015*q = -346*q + 1989*q + 2855*q + 107973 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 1610*j + 4875 = 0 for j.\nAnswer: -3, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 7 (c) -1\/2 (d) -1\/9 (e) -0.95 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*x**4 + 30*x**3 - 588*x**2 + 1128*x - 576.\nAnswer: 3*(x - 2)**2*(x + 6)*(9*x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9376424*a + 0 - 9376424*a + 9*a**2 - 1 + 1.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 32*l - 2. Let b(h) = 3*h**2. Calculate u(b(m)).\nAnswer: 96*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 425509663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Suppose -l + 0*l - 4 = 0. Let r(n) = -n**3 + 3*n**2 + 11*n - 1. Let i(p) = p**2 + p - 1. Let v(b) = 6*i(b) - r(b). Let f be v(l). What is o(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-26)*4\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6) - -2 - 3)*-2. Suppose 0 = -s*k + 9. Which is the third smallest value? (a) -1\/2 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-87)\/(-21) + (-2)\/14. Let z be ((-4)\/4)\/(-1*1\/p). Differentiate 19*f**z + 54*f**2 - 32 - 54*f**2 wrt f.\nAnswer: 76*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*v + 285. Let l = 287\/5 - v. Which is the third biggest value? (a) 1 (b) 0.3 (c) l (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 192. Let l = -44 + 95. Let o = 75 - l. What is the greatest common divisor of f and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 + 7*h - 5. Let l be z(6). Let x(g) = 11*g**2 - g + 1. What is the units digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174099887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/((-16)\/120*-10). Does 122 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4287755*t. Let x(y) = -2*y. Calculate x(a(g)).\nAnswer: -8575510*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 5) to base 15.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 90. Calculate the highest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19092 and 10632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + j = -58 + 43, -2*g = -j - 28 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -510 - -511. Which is the second biggest value? (a) t (b) 30 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 529 + -113. Let m be ((-78)\/z)\/(2\/(-8)). Is 1 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*o**2 + 3 + (0 + 0 - o)*(3*o + o - 3*o) + o**2 + o**2 + 5*o**2 + (4*o - 3*o + 2*o)*(-o + 4*o + 4*o) to the form i + r*o**2 + f*o and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -211\/2. What is the third smallest value in -0.1, -0.2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*q + 5*r, 5 = -r + 2*r. Let f = 30.2 + -61. Let k = 31 + f. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4654964?\nAnswer: 2, 29, 40129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6. Let z(c) be the first derivative of 0*c**4 + 0*c**3 + o*c + 1 - 3\/5*c**5 - 1\/2*c**2. What is the second derivative of z(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + r - 1. Let u be p(1). Let n be (u\/1)\/(4\/(-14)). Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31056 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -9, -11, -13, -15?\n\"Answer: -2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, i + 3*r - 9 = 2*r. Solve -i = -8*z - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -4, 8 in decreasing order.\nAnswer: 8, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x**2 - 93547*x + 46598 wrt x?\nAnswer: -6*x - 93547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2725, -2724, -2711, -2680, -2625, -2540?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 376839*q - 47990 wrt q?\nAnswer: 376839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 91.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((3 + 1 - 3)*2). Suppose 5*i - 499990 = -l, -r*l + 2*l = -5*i - 500010. Round l to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 + 60*o**2 + 639*o\/2 + 459.\nAnswer: 3*(o + 3)**2*(o + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**4 + 2848*s**3 + 293242*s**2 + 9348410*s.\nAnswer: 2*s*(s + 205)*(2*s + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m + 3. Let x be u(9). Let h(j) = 9 + 5 - 16 + x*j**2 + 3*j. What are the prime factors of h(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -7*p - 0*p. Does -1\/314 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/6 - 5*h**2. Let z be x(-4). Suppose 0*w - 5*w + 695 = z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5\/28*v**4 + 2\/7*v + 3\/7*v**3 + 1\/35*v**5 + 4 - 1\/2*v**2. Factor m(t).\nAnswer: (t - 2)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:25 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 2.7, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let v(q) = 186*q - 12. Let z(l) = -7820*l + 506. Let c(y) = -253*v(y) - 6*z(y). Calculate c(w) + 115*j(w).\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13319262 divided by 4439754.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-210)*-28*(0 + 15\/10). Factor -3\/2 + 15\/2*t - 15*t**2 + 3\/2*t**5 - 15\/2*t**g + 15*t**3.\nAnswer: 3*(t - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6014.6 and -0.041.\nAnswer: -246.5986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 44 = -0*c. Let w = -17 - c. Suppose 0*u - 94 = -w*u + 4*l, -5*u + 92 = -2*l. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/80565247 and -45\/11.\nAnswer: 886217717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7620711*z**5 + z**4 + 2*z**2 - 920386*z - 10?\nAnswer: -457242660*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - u + 2104 = 0, -5*x + 0*u + 10518 = 3*u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:52 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - w + (-2*w - w + 4*w)*(-3 + 1 + 0) - 6*w + 7 - 7)*(-14*w - 11*w**3 + 14*w).\nAnswer: 110*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**3\/2 - 14*h**2 + 11*h\/2 + 1.\nAnswer: (h - 1)**2*(15*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*k + 250*k + 12*k + 0 + 0.\nAnswer: 924*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.09 - -17. Let c = y + 0.44. Let h = -0.05 - c. What is the third smallest value in h, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6095 (b) -5 (c) -11\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03996 + 0.0403773. What is g rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1420 + -1396. What is the nearest to -0.1 in -9, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6765.477 months to years.\nAnswer: 563.78975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k. Let b(l) = -61 + 57 + k*l + l**2 - 3*l. Let q be b(3). What is the biggest value in 2\/3, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**4)*u**(-2\/21)*(u*u*u\/(u\/(u**(-2\/5)*u*u))*u)\/u**(3\/2))\/(u*(u**(-4)*u)\/u*u*(u*u*u**(-1\/2))\/u*u*(u**1)**(-28)) assuming u is positive.\nAnswer: u**(3728\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k - 10. What is the closest to 6 in -0.5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19235870 and 1038?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(245) + 3 + -3 - (sqrt(30)\/sqrt(54) - sqrt(5) - ((sqrt(540) + sqrt(60))\/sqrt(12) - sqrt(5)))*2)*4)**2.\nAnswer: 3698000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20031*p**3 + 10046*p**3 + 9989*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3.1, 0.5, -4 in descending order.\nAnswer: 0.5, -3.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 822 + -17320\/21. Let f = -29731\/15579 + 54\/577. Calculate the common denominator of b and f.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o - 2*v, 0 = 3*o + v - 14 + 1. Solve o*i - i - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 smaller than 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 0.12, -0.04, -2, 1\/5 in increasing order.\nAnswer: -2, -0.04, 0.12, 1\/5, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**6\/360 - p**5\/40 + p**4\/6 + 2*p**3 + 6*p - 65. Let g(k) be the third derivative of u(k). Calculate g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -56*x**3 - 21*x**2 + 21*x + 19. Give t(-2).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**4 + 4483768*p**3 - 12*p**2 + 9*p - 27451713 wrt p.\nAnswer: 60*p**2 + 26902608*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 5.09.\nAnswer: 9.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*s + 4*s. Suppose -4*u - u = 4*p, -4*u = -p. Sort 4, p, s in descending order.\nAnswer: 4, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 32001*d + 2139578.\nAnswer: (d - 31934)*(d - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*u, 3*u + 0 - 10 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n - 396. Determine c(-25).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5773 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -272 + 155. Let s = a - -117. Solve 8*z - 4*z = s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100*456\nAnswer: -45600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(72\/2808).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/20 - 11*a**3\/15 - 28*a**2\/5 - 12*a - 245. Factor m(z).\nAnswer: (z - 15)*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 155*s - 1094. What is the smallest common multiple of l(7) and 34?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) - -2*(-33)\/(-24). Suppose a*t = t - 8, -5*j + 5*t + 30 = 0. Is -3 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199662 at least 6199660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25*x**4 + 128*x**3 - 231*x**2 + 156*x - 34. Suppose -23*w + 20*w - 9 = 0. Let s(y) = y**3 + y**2 - 1. Let o(t) = w*m(t) - 6*s(t). Factor o(f).\nAnswer: 3*(f - 2)**2*(5*f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6737 = 45*p - 1463098. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -81.26 and 1.\nAnswer: -80.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*y**5*z**2 - 2577*y**3*z**2 - 1029*y**2 + 17*y*z**2 - z**2 wrt y?\nAnswer: -1200*y**2*z**2 - 15462*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114294 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 411*k**2 + 6. Let s(n) = 4520*n**2 + 65. Calculate -65*i(g) + 6*s(g).\nAnswer: 405*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 40. Suppose v*x - 1537 = 946. What are the prime factors of x?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2\/2 - 9*z - 17\/2 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1054038 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d. Let l(m) = m**2 - m - 287. Determine w(l(f)).\nAnswer: 14*f**2 - 14*f - 4018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 347227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -212*d**3\/3 - 2123. Let s(t) be the first derivative of t**3\/3 - 20. Give g(s(o)).\nAnswer: -212*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/13)\/o)\/o**(-2\/21))\/(o**4)**(15\/4) assuming o is positive.\nAnswer: o**(-4384\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, o: 4, q: 3, n: 3}. Give prob of sequence nn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428744173920.8099966 + -428744343752. Let f = -169831 - k. Let u = f + -0.19. Round u to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*l + 3 - 2 - 107*l + 139*l + 77*l - 1.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2954 (b) 0.4 (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79385086 to the power of 1\/2, to the nearest integer?\nAnswer: 8910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/19052 and -17\/29964.\nAnswer: 12974412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/66188 and 41\/7572?\nAnswer: 125293884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*6*11\/(-264).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5\/6, 6, -0.9 in increasing order.\nAnswer: -0.9, 0.1, 5\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 20*m**2 + 16*m + 27. Let c be f(-19). Suppose -c = 15*h - 21*h. What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (10 - (-6 + 14)) - -10\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -23*b**6\/10 - b**4\/12 - 45*b**2\/2 - 4*b - 4. What is the third derivative of i(r) wrt r?\nAnswer: -1656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let x(o) = -708*o. Suppose 5*t + 0*t + 2*l - 5 = 0, -3*l = -15. Let z(s) = -2*s. Let b(u) = t*x(u) + 472*z(u). Determine b(c(w)).\nAnswer: -472*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -6 + 5 - -15) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 1946*s - 1948*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15377 - -15377. Let z = -11 - -19. Which is the second biggest value? (a) 0.5 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 12*q**2 - 31*q - 28. What is h(-8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 23*z - 58. Let j be x(20). Solve -j*b = -3*t + 7, 0 = b - 2*b - 2*t + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 391579 and 0.6.\nAnswer: 391579.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 4 + 1 + 627*g as n*g + v and give n.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -751825 by -25925.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -1 + 4\/1. Suppose f*z - g - 5 + 0 = 0, -5*g = -20. Let v(b) = b**3 - b**2 - 4*b + 4. Is 5 a factor of v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15423 or -15?\nAnswer: 15423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83b28 (base 12) to base 16.\nAnswer: -2a290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 10. Let u be b(11). Suppose 0 = -6*p + u + 85. Let c = 78 + p. Is 48 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5, -2\/13, 10, 1\/81?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**2 - 168*l - 352 = 0.\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjajajajaaa. What is prob of sequence aaj?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24636683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 92. Let d be 18\/4*(-4 - 75\/(-18)). Let x = 51\/5 + -10. What is the closest to -2\/9 in y, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.2 + 35.199999825. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17510 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3*(-76)\/(-228) + 27)*(-1 - -3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + -14)\/(1\/(-4)). Let m = -340 + y. Let t be (6\/4)\/((-39)\/m). Solve 3*v = z + t, 5 = 2*v - z - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 1083.\nAnswer: 1083.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 4*j + 14. Let b be a(6). Let p be 12\/4 - (3 - b). Let h(s) = s. Determine h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/28*(-4 + 11). Suppose -245 = -4*n - 3*c - 2*c, -236 = -v*n + 4*c. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.8 + -28.7648. Round d to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5530 divided by 5530.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:27 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 5*w - 9*b - 7, 3*w + 15 = -3*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 17*u**2 - 17*u - 16. Let b be l(18). Let r be ((-2)\/3)\/(15\/9 - b). Sort 2\/15, 6, r, -7 in decreasing order.\nAnswer: 6, r, 2\/15, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, -3, -35, -79, -135, -203?\n\"Answer: -6*q**2 - 2*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m - 210 = 0. Let a = m - 11. Suppose 0 = -2*z + a + 13. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -50*f**2 + 14*f - 119. Calculate n(4).\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*y**3 - 3*y**4 - y**2 + 142 - 327*y**3 - 144 + 11*y to the form n*y**2 + t*y**3 + a*y + d + v*y**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1463052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*w)*(-5*w + 4*w + 6*w)*(7581*w - 7581*w + 345*w**2) as n + h*w + x*w**3 + q*w**2 + d*w**4 and give d.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*u - 15, u - 3*j = -57 + 48. Solve u = y - 303 + 296 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -304, -1026, -2432, -4750, -8208?\nAnswer: -13034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 8*j - 12. Suppose 0*c + c + 10 = -5*l, 2*c - 3*l = j. Let h(r) = r**3 - 2*r**2 - 3*r - 3. Let a be h(3). Put 3, c, a in decreasing order.\nAnswer: 3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7483 is divided by 399.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2004*0.3.\nAnswer: -0.06012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313934 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 12 (c) -0.3 (d) -516 (e) 0.7 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 2 - 5 - 590*t)*(-2 - t + 2 + 0 - t + 0 + (-4 + 5 - 2)*(t - 3 + 3) - 2*t - 3*t + 3*t) as r + g*t + p*t**2 and give p.\nAnswer: 2950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*i - 277*i + 64*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90882, 181865, 272932, 364089, 455342?\n\"Answer: g**3 + 36*g**2 + 90868*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3681 + -3677. What is the third biggest value in -5, -4, 1, f, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -975 by 15.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292956.\nAnswer: 2, 3, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:40 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.75 - -0.05. Let t be ((-2)\/(-5))\/(9\/(-5)). Let b be (7\/((-364)\/200) - -2) + 2. Sort b, t, h in decreasing order.\nAnswer: b, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -37, 369, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:57 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 398 divided by -48\nAnswer: -199\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -126*h - 40. Let l(g) = -125*g - 37. Let w(r) = 3*j(r) - 4*l(r). List the prime factors of w(10).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w - 241*w = -333944. What are the prime factors of w?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - (-66)\/(-90). Let x = -5.6 - -6. What is the smallest value in -3\/2, x, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/24 + g**5\/15 + 5*g**3\/6 - 7*g**2. Let q(l) = 4*l**3 - 3*l**2 - 4. What is -5*h(y) - 6*q(y)?\nAnswer: y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -20.89. Which is the biggest value? (a) m (b) -3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31003662 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 16. Let k be m(0). Solve 0 = 5*o - o - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318 = -4*g - 5*n - 1396, -8*n = -16 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 3}. What is prob of sequence tn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = -11. Suppose -3*q + 8 = g. Suppose 4*f = -n - 3 - 9, -2*n = -5*f - 15. Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 560, 844, 1128?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 560*f**3 - 1635*f**2.\nAnswer: -5*f**2*(f - 109)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-4) + 5 - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 2*u - 6. Let w be h(-2). Suppose 3*x + 5*p = 22 + 43, -w = p. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/5)\/(t**(-4\/21)\/t)*(t*t*t*t*t**(-3\/7)\/t*t)\/t**(1\/7) assuming t is positive.\nAnswer: t**(569\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -7, 35, -1\/3, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 9 + -8 + 1 + (-7 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 4*i + 13 = 138. Are -388\/15 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 86394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 17. Let s be t(11). Let b = -50 - s. Factor b*m - 1\/6*m**2 + 0.\nAnswer: -m**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36220 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26000103 rounded to five decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2 + 332*u - 2720 = 0.\nAnswer: -340, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:35 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2913*o**2\/2 + 3191. Let p(j) = -3*j**2. What is a(p(i))?\nAnswer: -8739*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2. Let y(d) = 19*d. Suppose -171 = -4*r - 239. Let q(v) = 57*v. Let c(m) = r*y(m) + 6*q(m). Calculate c(o(u)).\nAnswer: 95*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1181.\nAnswer: 5905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 32261694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53141, 52246, 51351?\n\"Answer: -895*s + 54036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 521413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -5*l**2 - l**3 + 0 + 0*l - 5\/24*l**4. What is the tens digit of c(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1305)\/(-6))\/5 + 44\/(-88)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1. Suppose 6*i - 3*i - 12 = 0. Let h = 4 - 2. Suppose 2 = h*t - 2. Let g(f) = -f**2 - 1. Calculate i*d(m) + t*g(m).\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 1. Let j be (2\/6)\/((-7)\/6). Which is the nearest to -0.1? (a) j (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10784 and 18198.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5616))\/(sqrt(48)*-3) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6334 divided by 7\nAnswer: 6334\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Let l = i + -6. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10254 = 110*b + 9264 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxk when four letters picked without replacement from kkxkxkkxkxkkkkkkxkk?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111113319 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - m = m - 20, -42 = 5*r - 3*m. Let u be 3441\/4 + r\/24. Is 2\/14 + u\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12542 - 352?\nAnswer: 12160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 29. Let s(l) be the second derivative of 0*l**a + 0*l**3 + 2*l + 0 + 1\/12*l**4. Let m(z) = -z. Determine s(m(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174.4252 - 0.3252. Let z = -157 + n. Let t = z - 17. Put 2\/9, t, 3 in decreasing order.\nAnswer: 3, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*j - 48 - 1093 + 437 - 691 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54659015 by -485.\nAnswer: -112699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 + -447. Is 0.012 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t*w**3 - 879*t*w + t - 25958*w**3 + 2*w + 1 wrt w?\nAnswer: -6*t*w - 155748*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*0.2.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y + 133. Let c be (-335)\/(-1)*(-4)\/10. Is c < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. What is the units digit of -1*s*1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 50280*o + 58425360. What is s(-1162)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z + 4*z. Suppose -z*a + a = a. Suppose a*t - 4*t = -232. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 30. Let m be 10\/6*126\/35. Let t(p) = 5*p + m - 6*p + p**2 + p - p. What is t(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0137 (b) -12 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3149054 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457342807?\nAnswer: 59, 7751573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 148995*o**2 - 22200105993*o\/2 - 44397828098.\nAnswer: -(o + 4)*(o + 148993)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let r(j) = -35*j**2 - 8*j + 3. Give r(t(f)).\nAnswer: -35*f**2 + 8*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 202.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j + j - 46*j**2 + 51*j**2 wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108687 is divided by 17734.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -4 (c) -0.35033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3584, -41490, -144372, -344720, -675024?\nAnswer: -1167774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -17*y**4\/4 + 13*y**2 - 1. Find the second derivative of s(p) wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87.49 and 3640.\nAnswer: -318463.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 9*s**2 + 6*s + 2. What is d(6)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*((-126)\/(-27) - 5). Sort 2\/7, -85, 2\/13, r.\nAnswer: -85, 2\/13, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 + -165. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 15. Calculate the lowest common multiple of 21\/6*(32\/14 + 4) and (6\/5)\/((-3)\/x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408 = 47*x - 656 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -53 (b) 1\/12 (c) 0 (d) 332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497 divided by -3?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -0.1, -3, 3, -32, 4, 9 in decreasing order.\nAnswer: 9, 4, 3, 1\/16, -0.1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:56 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56782, 56769, 56750, 56725?\nAnswer: 56694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 28, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -2*a + 1625. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j - 1714 - 138*j + 1714 + 80*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y. Let s(g) = -8*g**2 + 8*g + 4. Let n be s(-3). Let l = -91 - n. Put l, 3, -1, y in increasing order.\nAnswer: -1, y, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -26*l**4\/3 - 9725*l**3\/3 - 48500*l**2\/3 - 19805*l - 738 = 0.\nAnswer: -369, -3, -2, -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -14154, -1, 1.\nAnswer: -14154, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 8 + 14)*(-4*s**2 + 16*s**2 + 6*s**2).\nAnswer: 270*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1.9. Let m = 1 + y. Let w = m + -0.9. Which is the second biggest value? (a) 0.1 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Suppose 466 = 6*w - 1862. Let o(n) = w*n - 2*n**2 - 388*n. Calculate r(o(b)).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 4*y + 12. What is j(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41452 and 23088764?\nAnswer: 23088764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1423 (b) -2\/11 (c) 0 (d) -0.6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + c + 15 = 4*c, -5*p = 3*c + 25. Let a be p\/((-105)\/6) - 0. Let y be 2*14\/12 - 2. What is the second smallest value in a, -1, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -11.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -899 + -2127.\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 32*b - 28*b, 0 = -2*t - b - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = -5*v, 2*l + 4 = 2*v - 2. Let u be v\/4*(3 - -71). Suppose 0 = 5*a - u - 18. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4 - ((-1404)\/(-24) - 14).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 49, 36, -51, -236?\n\"Answer: -4*s**3 - s**2 + 68*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let k = 210.7 + -210. What is the third smallest value in k, p, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttctttcctttttct. What is prob of sequence cct?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1187*d**2*x**3 + 1951*d**2*x + 242*d*x**3 - 2*d*x**2 + 3*x**2 - 2*x - 14 wrt x?\nAnswer: 7122*d**2 + 1452*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 + 3*z - 7. Let q be u(0). Let y(p) = -2*p**3 - 2*p**2 - 10*p - 47. Does 12 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 576, 1975, 4704, 9207, 15928?\n\"Answer: 74*v**3 - v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57 + -0.07. Suppose -2*r + r + 4 = 0. What is the third smallest value in r, n, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/975 + 4\/(-26))\/1*(-34)\/(-51).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2193680 - -10062410240\/4587. Let r = p - -6\/139. Is r at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = 3*r - 880. List the prime factors of r.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 655030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17266681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(675)\/sqrt(9)*6)**2.\nAnswer: -180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1781 + 6593\/4. Let w = 132 + j. Which is the third smallest value? (a) w (b) 3 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*p = -9, -2*p = 2*a - a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3641448800 to the nearest 1000000.\nAnswer: 3641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-2) - -1) + -36 + 941. Calculate the greatest common factor of g and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t. What is f(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 144 = -8*w. Is (4 - 8)*(-699)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**3 + 2*o**2 - 21*o - 22. List the prime factors of q(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -9. Suppose -f = -u*f - 4. Calculate the remainder when 31 is divided by (0 - 22\/1)\/f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 + -125. Let w be ((-9)\/(-12))\/((-1)\/4). Let q = r + w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 30566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/9)*d*d*d*d\/(d\/(d*d*(d\/(d\/(d**11\/d)))\/d)))\/(d**(-2\/19)*d**(-1\/6)\/d) assuming d is positive.\nAnswer: d**(5413\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 3 - 8*l + 5)*(15*l + 68*l + 41*l).\nAnswer: -248*l**2 + 248*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 57 = 4*i - k*r, i + 2*r = 23 + 1. What is the highest common divisor of i and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1065 + -4241\/4. What is the common denominator of n and -49\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+1320.8\nAnswer: 1319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63a719 - 37?\nAnswer: 63a692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1118582 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -646*p + 895*p + 16185 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*(63\/49)\/(-9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13860303, -27720602, -41580901, -55441200, -69301499, -83161798?\nAnswer: -97022097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194945 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a - 20*a + 10*a - 18*a + 48*a. Let w(o) = 2*o. Suppose -2*j = 2*j + p - 12, 5*j + 4*p = 4. Give j*w(x) - 3*k(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 13 = n, -35 = -5*n - 0*o + 5*o. Suppose -n*r - 24 = -9*r. Does 9 divide 697\/51*(r + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {b: 8, c: 4, v: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.1 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 u when three letters picked without replacement from {x: 1, u: 4, m: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 + 2*f + 2. Let k(i) = -63*i**2 + 15*i + 15. Let u(w) = w**2 + 20*w + 69. Let r be u(-6). Give r*q(m) + 2*k(m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1024 + -1024.1. What is the nearest to r in 4, -1.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182\/19 + 1057\/152. Let t = -182197\/120 - -4552\/3. Find the common denominator of t and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*i - 3*w, 112 = 4*i - 5*w + 3*w. Let v be (-3*13)\/((-1)\/1). What is the greatest common factor of i and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 95914121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*h*n**3 + 114798*a**3*h - 2*a*h*n**3 + 667*a*h*n**2 - 6*a*n**3 + h*n**2 wrt a.\nAnswer: 6*a*h*n**3 + 688788*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6732418 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 14*b - 57. Let l be 290\/45 - 292\/657. What is w(l)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10534203 and 11105?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*d**2 + 1594259*d - 44285.\nAnswer: (d + 44285)*(36*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40363.\nAnswer: 181, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4450.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317965059 to the nearest integer?\nAnswer: 17832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -55 - 88. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 - -4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 2. Let d = 163 + -153. What is the least common multiple of d and p(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11*y - 1379 = -14*y, 1090 = 4*j - 2*y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/7*r - 2\/7*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 1. Suppose 5 = 4*c - 9*c. Determine h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15740881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 867*k**2 + 41*k**5 - 10*k**6 + 0 + 8*k**5 - 49*k**5 + 6*k**3 wrt k?\nAnswer: -1200*k**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -818 - 2?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:21 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-2)\/(-2))\/2. Suppose -2*g - 3*g + 30 = k. Suppose -10 - g = -4*y. Which is the third biggest value? (a) 2\/5 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11397, 4, 2, -111.\nAnswer: -11397, -111, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 37*m - 25*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296255 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(0 + 0 + z)*(4*z**2 + 27*z**2 - 6*z**2).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1\/24*p**4 + 0*p - 13*p**2 + 0 + 0*p**3 + 0*p**5 - 1\/15*p**6. Find the second derivative of r(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1050*m + 28276. Give v(-27).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*i - 504 = 184*i. What is the remainder when i is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 + 560. Suppose -7*o + 1500 = 8*o. Calculate the highest common factor of o and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 10:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12936023.\nAnswer: 12936023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 16*u**4 - 28*u**3 - 4*u**2 + 28*u - 12 = 0.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 689\/2 less than 344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -2*g**5\/15 - g**4\/2 + 4*g**3\/3 + 4*g**2. Find p, given that k(p) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:01 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101263 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8713248, -17426503, -26139758, -34853013?\n\"Answer: -8713255*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102724.49 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359 + -352. Let z be x + (-6 - (-10)\/2). Let n(m) = m**2 - 6*m - 6. Let i(a) = -3*a**2 + 11*a + 11. Give z*i(g) + 11*n(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 920926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 2:09 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -429985 and -429985 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 + d**2 + d - 1. Let k be n(1). Suppose -x + 15 = -k. What is the remainder when x is divided by 52891\/10669 - (-2)\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 4. Suppose 5*t = 5*u - 5, 2*t - t = -4*u - 11. Let f be u\/((3\/(-2))\/3). What is b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 4*u**2 - 8*u**2 + 0*u**2 + 2*u**2 + 0*u**2 + (4 - 4 - u)*(3*u - 5*u + 0*u) to the form w*u**2 + c + r*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 997011 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -727 (b) 102 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 11:25 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1477 = -4*d, -2*f = 2*d + 3*d - 954. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16989 by 4.\nAnswer: 16989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -433, 690, 2561, 5180?\n\"Answer: 374*b**2 + b - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w**(2\/7)\/w*w*w)\/w)\/w*w*w*w\/w**2*w*w**(3\/11)*w\/w**5 assuming w is positive.\nAnswer: w**(-111\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*w**2 - 3*w + 1085*w**2 - 525*w**2 + 3*w.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -41 + 70 - 90?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 3*t, -t + 4 - 2 = -n. Suppose 4*x = n*o + x - 2562006, 5*o - 4270006 = 3*x. What is o rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72969322 or -72969320?\nAnswer: -72969322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 8394738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -29. Let w(l) = -l**2 - 13*l - 24. Let t be w(a). What is the third derivative of 4*k**2 - 10*k**4 + t*k - 18*k wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372160 is divided by 3026?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 582 - 1008. Let i = -35 - k. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 18*r**3 + 10*r**3 + 7*r**3 as s*r**3 + q*r + b + v*r**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 62*o + 0 - 80*o - 2*o**2 - 985*o as t*o**2 + j*o + d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*x - 1688*x + 853*x + 3944*x**2 - 13.\nAnswer: 3944*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)*h*h*(h*(h*h*h\/h**26)\/h)\/h assuming h is positive.\nAnswer: h**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 - 6*x + 5. Let c be q(4). Let b be (-4)\/(-6) + c\/3. What is the highest common factor of 40 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m + 3. Let h(z) = 3*z**2 + z - 1. Let k be h(1). Let f be 0 + 1\/(k\/6). Let b be v(f). Is -2\/7 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/10 + 17*g**3\/6 - 18*g**2. Find the first derivative of c(i) wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 2. Let s be (-24)\/(-30) + (-108)\/10. Let y be (-24)\/5 + 2\/s. Let u(a) = -4*a - 1. Let v(f) = y*u(f) - 6*j(f). Determine v(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*k + 1, -3*k = 10 + 5. What is the smallest common multiple of (33\/(-6) + 4)*s*-1 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113391*g**2 - 115 + 227 - 23121*g**2 - 112.\nAnswer: 90270*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49431.64 centuries in years?\nAnswer: 4943164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 111\/15 + -123 + 117. What is l in -1\/5 - k*l**2 - 8\/5*l = 0?\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.44, -0.0697, -0.125?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616560 divided by 140.\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/50 - (-11)\/(-10). Let k = 323935\/2086 - 9\/2086. Let u = -155 + k. What is the nearest to u in 4, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (168*f**2 - 80*f**2 + 16*f - 89*f**2)*(7 + 14*f - 7) in the form h*f**3 + l + b*f**2 + o*f and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6098 to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:04 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-15))\/4*185\/148?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4 + 50*k**3 - 16.\nAnswer: -8*k**3 + 150*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 12*i = 4745. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:00 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-23)\/j**(2\/25)*j**(-1\/4)\/j*j\/j**(-45) assuming j is positive.\nAnswer: j**(2167\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - 386316\/(-10) - (-2392)\/5980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30954 + 30954 + 110423*p**2.\nAnswer: 110423*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -13*a**7\/42 + 2*a**4\/3 + 8*a. What is the third derivative of z(p) wrt p?\nAnswer: -780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0. Let n = a + -3.95. Let d be (-5)\/7 + 1 - (-2)\/(-56). What is the closest to d in n, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 34*n + 3. Calculate g(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 57. Suppose 0 = -d + n + 6. Solve 5*b = -4*g - d, 5*b - 2*g + 4*g + 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 14013.22 years?\nAnswer: 168158.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -387 + 271. Let s = 126 + x. Solve s - 15 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2277\/22970 - 2\/2297. What is the closest to r in 2\/5, 3, 5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 18 = -3*v, -5*v + 4*r + 11 = -19. Solve y - 3*y = v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*n + 434 = 0, -2*x = -0*x + 2*n - 430. Suppose -m + x = -215. Is 71 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnahhnlnnhnlhnhln. What is prob of sequence al?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 1. Let p be v(1). Suppose -5 - 9 = -5*f - x, -2*x - 2 = -5*f. Let t = 3 + f. Put p, t, 3 in increasing order.\nAnswer: p, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 729 + 756. Let v be (-10)\/u + (-9870)\/(-77). What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 12*w + 34. What is the units digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 9\/34, -0.5, -1.13.\nAnswer: -1.13, -0.5, 9\/34, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4*d - 14, 0 = -18*q + 22*q + 5*d - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18262.\nAnswer: 2, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6276 divided by -45\nAnswer: -2092\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9525832 or -9525826?\nAnswer: -9525832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (332 - 5)*1\/(-3). Let i = -106 + y. Let s(r) = -11*r**2 - 12*r**2 - 4*r**i + 31*r**2. Let t(q) = 5*q. Calculate t(s(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238786750.\nAnswer: 2, 5, 955147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 30 = -3*v, 3*p + v = 2*p + 6. Let y = -1 - p. Let z = -3 - y. Solve 2*c + 4 = -2*r - 10, r + z*c + 19 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 3*d)*(6*d - d - 2*d) - 3*d**2 + 0*d**2 + 2*d**2 + d**2 + 3*d**2 - 3*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-3)*(-66 + -1) is divided by ((-3)\/6)\/(-2*5\/340)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**3 - 20*l**2 + 20*l + 20. Let k(b) = b**3 - b**2 + b + 1. Give -20*k(h) + p(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 4 + 4)*(5 - 4 - 2) + 0 - 2 + 0)*(-o**3 - 2*o**3 - 17*o**3) to q*o**3 + n + r*o**2 + c*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -704. Suppose 0 = -11*c - 424 - n. What is the units digit of c*3\/9*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5254 at most 5225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 4\/9, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 bigger than 0.0464715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -14 (c) -0.5 (d) 13\/4 (e) 3 (f) 1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514517 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-8)*(-24)\/(-15). Suppose -3*r + w*k + 31681 = 0, 4*r = 3*k + 39585 + 2654. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + (-108)\/54. What is the closest to -28 in -2\/5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and 109\/1101078.\nAnswer: 4404312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2605\/5841 + -1\/649. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -917*r + 3669. Let x be k(4). Put x, 6, 3, -1, -5 in descending order.\nAnswer: 6, 3, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let f(c) be the first derivative of -19 + 0*c**2 + 0*c - 2\/3*c**3. Determine f(b(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 8*f + 35*f + 389 + 298.\nAnswer: 27*f + 628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 4*s + 23 + 27 + 4*s - 46 to q + i*s and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 8, x: 8}. What is prob of sequence pxp?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 10) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458938, -458936, -458936, -458938, -458942, -458948, -458956?\nAnswer: -458966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 122.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -5. Let p = -15 + 20. Suppose p*q - 2*d + 7 = 0, 2*d + 11 = 2*q - 3*q. Does q = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:35 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/35 and 13\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 354129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -10) + 5 + (8 - 19) - -14.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 2*x**3\/3 - x**2 - x. Suppose -5*z - 1 = 14. Let q(y) = 5*y - 3. Give z*j(l) + 2*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f - 6. Let u be r(3). Suppose 177 = u*t - 3*t. List the prime factors of t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1597 + -1595. What is the greatest common factor of w and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(176)*2*6 - ((((-2*sqrt(66) + sqrt(66))*1 + sqrt(66) - sqrt(66)) + sqrt(66))\/(sqrt(540)\/sqrt(10)))**2.\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 1. Let n be p(-1). Is (n - 924\/3)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d - 3. Calculate the lowest common multiple of (-176)\/(-40)*15\/6 and q(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3200991 or -1?\nAnswer: 1\/3200991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from ccduyemu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10. Suppose 4*n - 46 + 14 = p. Let z(i) = -8*i. Calculate the lowest common multiple of z(-1) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p + 17 - 17 + (3 + 0 - 6)*(2*p - 4*p + p) - 3*p - 3*p - p - 2*p + 7*p - 4*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24756 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-275900)\/(-1500) - 1\/(-15). Let q = 217 - d. Solve 3*w + 21 = 3*t, 5*t + 10 - q = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9249 - 9669 = -60*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25198000 to the nearest 100000.\nAnswer: 25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 2*c)*(1 - 4 + 2*c - c**3 + c).\nAnswer: -2*c**4 + 6*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + -3 + (-1 + sqrt(19))**2 + sqrt(57)\/(sqrt(9)\/sqrt(3)).\nAnswer: -sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -295617 >= -295617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3533*v. Let c(k) be the third derivative of -k**5\/60 + 1586*k**2 + k - 1. Determine b(c(z)).\nAnswer: 3533*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 154641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-55)\/(-44))\/((-3)\/(-12)). Suppose 0*n + 5*g + 74 = 2*n, -s*g + 94 = 2*n. What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = -3, 0 = 5*l + 5*o - 10. Suppose -199 = 6*p - 67. What is the least common multiple of l and (-128)\/p + -6 + 70\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(242) - ((2*2*sqrt(242) - sqrt(242))**2 + sqrt(242))) + (1*sqrt(242)*-1 + sqrt(242) - sqrt(242))**2 + 0.\nAnswer: -6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/9 + 56*o\/9 + 6 = 0. Calculate o.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 105*n**2 - 3354*n - 5. Give g(32).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.074*-0.18699\nAnswer: 0.01383726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 4, v: 5}. Give prob of sequence oov.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18986709 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-five thirds of a century?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 2*f**3 - f**2 - 38*f - 19. Let k(q) = -60*q + 11. What is -2*k(j) - 11*z(j)?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11629.4157 nanoseconds in days?\nAnswer: 0.00000000013459971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 513, 705, 903?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36569)\/(-485) - 77)\/(20\/225)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 divided by -440758?\nAnswer: -769\/440758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3795 - -7587\/2. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 9*l**2 + 9*l - 1. Let m(z) = z**3 + 4*z**2 + 5*z - 1. Let v(c) = -7*m(c) + 4*s(c). Let u be v(-8). Let i = u + 32. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.7? (a) 1 (b) -21\/4 (c) 3.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 5766 - 2698 - 2078 = 0 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -1) + (3 - -1 - (-26 - -28))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 11*i**2 + 6*i - 4. Let n be m(11). Suppose n = 4*d - 174. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b - 28. Let z(u) = -13*u**3 + 9*u + 7. Let x(d) = -4*d**3 + 3*d + 2. Determine b*x(y) + 2*z(y).\nAnswer: 2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.003 (b) 5 (c) 2\/15 (d) -9\/22 (e) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94\/65 - -1163\/130. Let s(j) be the first derivative of -4 - 3\/8*j**4 - 3\/2*j**3 + 27\/4*j**2 - p*j. Factor s(u).\nAnswer: -3*(u - 1)**2*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p - 4*m, -3*p + p = 2*m - 6. Factor 6*r - 12*r + p + 6*r - r**2.\nAnswer: -(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 6. Let b = 27 - 30. Let n be 1*(-1 + -1 - b) - -18. Let w = 26 - n. Calculate a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3) - sqrt(19))*4 - ((sqrt(684))**2 + 2)) + ((sqrt(171) + sqrt(171)*-2)*-2)\/(-1*sqrt(144)).\nAnswer: -686 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 35 - 10 + 12)*(b**3 + 2*b**3 - 6*b**3) in the form s + f*b**4 + c*b**2 + h*b**3 + p*b and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 2*j**3 - 5*j**3 + (-19 - 77 - 99)*(2*j**3 - 4*j**3 + 3*j**3) in the form l + m*j**2 + q*j + z*j**3 and give z.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9102 = -2*b, o + 3*b + 0*b - 2272 = 0. Calculate the greatest common divisor of 182 and o.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11925 is divided by 2385.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.302514938 and 55?\nAnswer: 54.697485062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.5 - -140.5. Let u = -122.1 + w. Let r = 3.05 - 0.05. Which is the third smallest value? (a) 2 (b) r (c) 1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1481, 487, 7 in ascending order.\nAnswer: 7, 487, 1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 16863 = -10551 - 5729. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 6)*(52\/6 - 2). Calculate the greatest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104634 - 104633.99957749. Round p to 6 decimal places.\nAnswer: 0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1501083 and 1501085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3785 - -5?\nAnswer: 6.3785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16988, 64952, 144894, 256814?\n\"Answer: 15989*c**2 - 3*c + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.02 - -15. Is h at least as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 1. Let i = -117 - -91. Calculate the lowest common multiple of s(i) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 37*p - 447. Let u be o(12). Which is the second biggest value? (a) 0 (b) -1 (c) -88 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9610179 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f = 25. Suppose 4*g - f*q = 27, 3*g + 18 = 4*g - 5*q. What is the highest common factor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = 0, 2*v + 0*v = o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (14 - 5 - 1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixq when three letters picked without replacement from xixixiixqixxiqxiiqi?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 524, 550, 576, 602, 628?\n\"Answer: 26*q + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824125 is divided by 7629?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 24*z.\nAnswer: 4*z*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51528 + -36323. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2066, 3975, 5884, 7793, 9702?\nAnswer: 11611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 24\/(-15))*5. Suppose 1 + 5 = b*q. Let j be (-15)\/(-4 + 1) + -1. Solve -4*u - k = -4*k + 29, 0 = -q*u - j*k + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from iyyyysijihhyht?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4972 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 27*k + 169. What is c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -17, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-2 - -4) + 1). Let g(u) be the third derivative of u**6\/120 - u**5\/30 - u**4\/8 + u**3\/6 + 21*u**2. Give g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 14*c**2 + 35*c - 38. Let o be v(16). Solve 2*k - o = -14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12058794863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2762, -4076, -6258, -9302, -13202, -17952, -23546, -29978?\nAnswer: -37242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -60. Let k be 4\/v + ((-1256)\/(-12))\/2. Solve k - 7 = -5*l - 5*h, 4*l + 24 = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 4. Let c be 8\/(-36) + (-50)\/18. Let z(y) = -1. Let o(d) = -2*d + 6. Let n be o(3). Suppose n = 2*i - 1 - 1. Calculate c*z(t) + i*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 + 9 = 0. Suppose -2*m - k - 25 = -6*k, 0 = r*m - k + 18. Let b be (-1147)\/m - 3\/(-5). What is b rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o - 61*o + 116 = -62*o. Let u(c) = 10*c**3 + 3*c**2 - 4*c. Let d(z) = 10*z**3 + 3*z**2 - 3*z. What is o*d(l) - 3*u(l)?\nAnswer: 10*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 202. Solve 0 = p*l - 10*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/503, -1\/3, -3, 3, 1\/2, -14 in decreasing order.\nAnswer: 3, 1\/2, 8\/503, -1\/3, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 + 24 = 0. Suppose -u = 3*f - 2*y - 46, 5*f - 63 = -y. What is the remainder when 50 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Suppose 18 = w*m + 4*x, -m + 2*x + 12 = m. Suppose -4*s + m*s + 2*h = 23, -3*s + h + 38 = 0. What is the remainder when 19 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(108)*1)\/((sqrt(36)*-1 + (sqrt(72)\/(2*sqrt(8)) - sqrt(9)))*5).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -2026 - 1538. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) + (-32)\/(-18) + -2. Sort -19, 3, v.\nAnswer: -19, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 16\/(0 - -2). Suppose -3*i - 3 = j + a, i = 5*j + 135. Is 10 a factor of (j\/8)\/(2\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 24*n**2 - 1597*n + 21934. Calculate w(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2 - 6*v**2 - 9*v**2 - 6*v - v**3 + 7. Suppose -2*w = -6*w - 20. What is z(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-4 - (-1 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1634 * 303\nAnswer: -495102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zlzzzzzzryzzzyzzzllr.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -99*g - 70. Let a be y(-19). Suppose 11*u - a = 950. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 13, 273\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*o**5\/5 + 132*o**4\/5 + 36*o**3\/5 - 114*o**2\/5 - 93*o\/5 - 18\/5 = 0. Calculate o.\nAnswer: -1, -6\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1035945419*a**2*r**3 + 3173*a**2*r**2 + 21652*r**2 wrt r.\nAnswer: -6215672514*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -4*j, 0*j = 5*j + 4*t - 8. Solve j*i - 1 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n - 47. Let t(p) = -35*p - 235. Let z(h) = -11*g(h) + 2*t(h). Let l be z(-6). Suppose r = w + 38 + 22, 2*w = -l*r + 300. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815536809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((2 - -4) + -2). Suppose 5*b - 4*y + 121 = 0, -4*y + 79 = -2*b - b. Let v = b - -41. What is the highest common factor of u and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j + 12. Suppose 5*f - 5*c = -115, -3*f - j*c + c - 63 = 0. Let b = -18 - f. Calculate the highest common factor of b and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 23 + 27 - 48 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423912 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 2. Let u(x) be the first derivative of 9\/2*x**2 - 4*x - 1. Calculate 11*j(a) + 6*u(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**3*h**2 + 5252*g**3 - 160*g**2*h**2 - 4*g**2 + g*h**2 - g*h + 8 wrt g?\nAnswer: -114*h**2 + 31512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 75 + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, 8*s - 10 = 3*s - 5*z. Let t(r) = r**2 + 3*r - 4. Calculate the lowest common multiple of s and t(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 18. Let n be k(-15). Suppose 2 + 70 = n*s. Calculate the least common multiple of s and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from nuuhcunnrnn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1089349343*y**4 - 22*y**2 + 24515268*y?\nAnswer: 26144384232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60069.1 + -60069. Let n = -7 + 7.7. Which is the third smallest value? (a) d (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5328829 minutes in days?\nAnswer: 0.005925613125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**5 - 105*j**4\/2 + 225*j**3\/2 - 165*j**2\/2 + 15*j\/2 + 9 = 0 for j.\nAnswer: -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 3843980?\nAnswer: 34595820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-613712)\/(-1364) - 6\/(-93)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24535, 48726, 72917, 97108?\n\"Answer: 24191*m + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60550)\/(-875) - (-1)\/(-5)) + -4 - 6\/(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llslllslllll. Give prob of picking 1 s and 2 l.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -15*l - 10*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + 2*w + 3. Let m be ((-36)\/10 + 3)*5. Suppose 0 = 4*r + 4*j + 36, -j - 10 = -2*r + 4*j. Let k = r - m. Calculate h(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*n - 234, -5*u - 4*n + 582 = 20. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1740558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2150522, -4301044, -6451568, -8602094, -10752622?\nAnswer: -12903152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 8*i + 5. Calculate n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -1. Solve 14*k**3 + 0*k**3 + 4*k**2 + 0*k**2 - 14*k**5 - f*k**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 4 - 4 + 1 + (1 + 0 - 5)*(27 - 4*q - 27)*(2 - 5 + 1).\nAnswer: -35*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 2 + 2)*(-4 + 2 + 3) + d + 2*d - 5*d - 796421 + 796421 - 17021*d as i*d + b and give i.\nAnswer: -17025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c)*(2 - 6*c**2 - 2) + 0*c**3 + 2*c**3 - 3*c**3 + (-4*c**2 + c**2 + 2*c**2)*(c - 5*c + 2*c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319721 to the power of 1\/2, to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiq when three letters picked without replacement from qoiqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6364065 (base 7) to base 16\nAnswer: -bc82c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093340 is divided by 363.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.376 times -1.02?\nAnswer: 49.34352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 2*a, 0*a - 5*s = a - 5. Factor -5*y + 3*y - 5 - 2*y + 14*y - a*y**2.\nAnswer: -5*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18113.3 - 18116. Put -2\/29, -4, y, 1 in descending order.\nAnswer: 1, -2\/29, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 475666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3712 + 3722. Solve 0 = 2*q + 5*r - 38 + w, 3*r - 8 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*m = -112*m - 6. Let n(p) = -2*p**2 + 6. Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413\/26 - -47\/13. Let q = t - 16. Is 4 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-20 - 35 + 13)*(0*q + 0*q - q**2 + (3*q + 11 - 11)*(-3*q + q + q)) - 7*q**2 + 4*q**2 + 2*q**2.\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -17418?\nAnswer: 17414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j - 2*r + 3, -3*r - 12 = -3*j. Suppose -4*l + 573 = n, -5*l - 2*n = -j*l - 431. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w - 319. Let l be j(-29). Solve -2*g + 11 = -3*y, -g + 5*y + 0*y + 9 = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917606269 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 6769631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32765*t**2 + 1934*t - 1934*t.\nAnswer: -32765*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252 times 1.5?\nAnswer: -4878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*z + 6, 3*z - 5*z = 3*m + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -23*c**2 - 25*c + 1. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -186*l**2 - 29*l - 47. Let m be k(-9). Round m to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6605 (base 7) to base 14\nAnswer: -c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22224 take away 23830.3343?\nAnswer: -1606.3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let l(h) = 25*h - 21*h - 8 + 2. What is 5*b(k) - l(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.36. Let t = 3.011 - 0.011. What is the closest to p in t, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let k be (-2 - 0)*2\/u. Let x = -3 - k. Let p(g) = -4*g. Determine p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727433 by 2.\nAnswer: -727433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593 divided by -47?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -35. Sort -1, z, 2 in ascending order.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67543409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7899 = -3*f, 3*f = 3*m - 0*m + 7899. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let m(q) be the first derivative of -11*q**3\/3 - 17*q + 6. Let i(s) be the first derivative of m(s). Calculate i(x(w)).\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10141 divided by -3091\nAnswer: -10141\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1 - 4. Let n = u + 20. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2863, 5723, 8593, 11479, 14387, 17323?\nAnswer: 20293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {g: 6, w: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478780222.\nAnswer: 2, 19, 38915269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -711*b + 107782. Determine a(152).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Let i(h) = -1141*h**2 - 1908*h**2 - 1335*h**2. What is j(i(k))?\nAnswer: -38438912*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1503 - -1505. Solve 0 = 3*k - r - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330 + 553. Is (0 - 0) + 4\/(4\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2748, -4866, -6984, -9102?\nAnswer: -11220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3093804249.\nAnswer: 3, 1171, 880673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 1 - -3) + -4. Let r be 3\/z*(-8)\/3*2. Suppose 408 = 4*a + r*w, -3*w = -5*w + 4. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1675, -1677, -1679, -1681?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**2 - 118*v + 2. What is the remainder when 589 is divided by m(13)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5) - 0)\/((-867)\/85 - -12).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641889 and 1773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/105*b**7 + 0 - 27*b**2 + 10\/3*b**3 + 0*b - 1\/10*b**5 - 13\/12*b**4 + 1\/12*b**6. Suppose t(v) = 0. What is v?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 16 = -d. Suppose d*k - 19*k = -9. Suppose -k*v - 4 = v. Which is bigger: v or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55536 by -3.\nAnswer: -18512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {b: 4, t: 2, p: 1, z: 7, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 281.\nAnswer: 281.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9640 and 36391?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*o + 12, -r - 2*o + 21 + 11 = 0. Suppose 4*h = 12 + r. Let n = 14 + h. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-14)\/(-3570)). Let z be (8 - (0 + 3)) + -2. Suppose -3*n + 879 = z*h + w, -2*h + 2*n = -466. Calculate the remainder when h is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7839600, 15679199, 23518798, 31358397?\nAnswer: 39197996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18*g + 18. Let k be d(-1). Suppose k = -3*h + 9, 4*h = -5*x + 34 + 108. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 16*u + 23. Let d(a) = 3*a - 2. Let x(j) = -c(j) - 6*d(j). Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (35*(-33)\/308)\/(2*(-9)\/12).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -2*s**7\/21 - s**3\/2 - 3*s + 2. Let a(h) be the first derivative of f(h). Find the second derivative of a(z) wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*v - 2, -3 = -3*n - v - 17. Let z = 3 + -1. Suppose 0*b = z*b + 2*s, -s - 5 = 2*b. What is the third smallest value in n, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*f - 2, 0 = -0*u - 4*u - 2*f + 4. Find the third derivative of 3*i**2 + 9*i**u - 3*i**2 - 7*i**4 wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.819 * -114821\nAnswer: 94038.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(16\/3))\/i*i*i)\/i**(-24))\/(((i**6*i)\/i)\/((i*i*i**(-25\/4))\/i)) assuming i is positive.\nAnswer: i**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8141*l - 3015*l + 9470*l.\nAnswer: 14596*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -47*x**4\/2 + x**2 + 233*x + 1103. Differentiate k(g) with respect to g.\nAnswer: -282*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5270*t + 5272. Calculate a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -295 - -545. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:51 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*i - 217 + 105 = -107, 7*i = g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 2 + t**2 - 6 + 0*t + 6*t. Let l be d(-9). Solve 0 = -l*w - 4*n - 5, 5*w - 5 = w - 5*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 16. Calculate h(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:24 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -93, 5, -8.\nAnswer: -93, -22, -8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:07 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 346731*r**2\/4 - 693498*r - 1387020.\nAnswer: 3*(r - 115585)*(r + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 107629279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 10*p + 78. Calculate y(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2 - 45*l + 59. Determine w(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/8)\/((b**5*b)\/b))\/(b\/b**(-5\/2))**28 assuming b is positive.\nAnswer: b**(-829\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/(o**(1\/4)*o*o))\/o)\/((o**(14\/5)\/o*o)\/o))\/(o**2)**(-12))**30 assuming o is positive.\nAnswer: o**(1257\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:56 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(8))*4 + -1 + sqrt(288).\nAnswer: -1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 11*j + j**2 + 6 - 23*j. Let y be c(12). Suppose 0*q + y*q - 96 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/114675 and -58\/131355.\nAnswer: 7224525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-10)*(-6335)\/(-362))\/((-69)\/184)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/21 and -11\/348?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-14) + 75\/126. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*a**2*d**2 + a**2 - 3*a + 1431*d**2 + d with respect to a.\nAnswer: -42*a*d**2 + 2*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/3))**21*w**2\/(w\/(w**(-7)*w)))**(7\/8) assuming w is positive.\nAnswer: w**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 1. Let m(n) = -n - 3. Suppose j + 2*x = -2*j - 11, -3*x - 12 = 3*j. Let b be m(j). Suppose 2*t + 2*o - 8 = b, -o + 2 = -3*o. Give y(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 68*o**3 - 14*o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 859243719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20646053*o - 20646058*o + 41292137*o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = 5*p - 207, 2*p - 69 = -3*w. What is the greatest common factor of p and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -203, -58.91, 3\/4, 21?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2305584?\nAnswer: -2305579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-2*v + v + 3*v) + 3 - 3 + 2*v - 55*v + 18*v - 102*v.\nAnswer: -141*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*h = -4*p + 26, -4*p + 2*h = -30. Suppose -45 = 6*w - p*w. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from wngggnnqngqggngnnnw?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.31372 years to months.\nAnswer: 687.76464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248921 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 prob of sequence oz when two letters picked without replacement from {z: 1, o: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7364, -1\/6, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 31. Let d = 12 + a. Solve d*b - 4*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 293 is divided by 122.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*k - 3, -4*l - l + 7 = -3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 4*r**2 + 2*r + 51. Let k(h) = 2*h**3 - 5*h**2 + 3*h + 51. Determine -4*k(l) + 5*t(l).\nAnswer: 2*l**3 - 2*l + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11780 + -5184. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166707 + -166609.119. Let p = b - 98. What is p rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/19)*p*p*((p**(-2\/119)*p)\/p*p)\/p*p*p)\/(p*p**(-13)*p)**(1\/9) assuming p is positive.\nAnswer: p**(144481\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.2, -4.3, 0.05 in decreasing order.\nAnswer: 0.2, 0.05, -1\/5, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 2*h + 60, -4*x + 2*h + 128 = 0. Let n = -23 + x. List the prime factors of (-22)\/n - (-186)\/2.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035504972 to four decimal places.\nAnswer: -0.0355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwdll. Give prob of sequence ldn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 14 - 1. Suppose w*l - 2*y - 9 = 0, 0 = -l - 0*l + 2*y + 5. Let k(s) = s**3 - s + 1. Let b be k(l). Solve -i + 0*i - b = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 4. Let i = 0.1 + 0. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 5, r: 3, i: 7, s: 3}. What is prob of picking 2 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14516 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, k: 2}. What is prob of sequence mmkm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -711 + 759. Calculate the remainder when 303 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -7)*5\/(-2). Let j = h + 58. Suppose j = p - 36. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 - 9*v + 41. Calculate i(6).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-3\/10))\/k)*k**1)**(-22) assuming k is positive.\nAnswer: k**(-187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*g - 829, 207 = -3*w + 2*g - 638. Is (4 + 0)*w\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.66169 minus 0.07?\nAnswer: 214.59169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z**2 + 161*z + 1402. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 22*g - 8. Let y = -1674 + 1680. Give m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12719 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-5))\/(-4 - (-164)\/40). Solve 0*h - 2*h = -2*q + i, -q = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 94489541\/13498506 + -3. Let n = 1884005531\/3172148910 - b. Let l = n - -2\/329. Sort -1, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2651, 2.\nAnswer: 0, 2, 2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let c(y) = -9 - 3*y + 0*y + 0*y + 4*y. Let l be c(6). What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*c - 26094 = -26120, 0 = 4*g - 5*c - 39 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Let u = 1 + 1. Let o = 11 - 7. Solve -4*s = 2*d - 18, -u*d + l*s = -o*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:36 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g, 5*v - 5*g - 33 = 152. Solve -2*x - 2*x - v = -4*h, -2*x = 2*h - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 22*i - 88. What is the lowest common multiple of 92 and o(-12)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24*s - 1. Let x(l) = 3*l + 5. Let f be x(-5). Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {a: 4, t: 1, o: 2, l: 2, b: 1, e: 5}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55788664 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + r - 8 = j, -r + 2 = -j. What is the highest common factor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 137 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143) + sqrt(143)*2 + sqrt(143)))\/(sqrt(11) - sqrt(99)*2)*-6.\nAnswer: -48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5925784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*u = -281, -5*f = u - 153 - 482. Calculate the lowest common multiple of 445\/(-20) + 23 - 87\/(-12) and f.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/(8\/(-24)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*y - 15, -11*y + 14*y + 13 = j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1153544?\nAnswer: 1153536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 123 - 105 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 7*f - 146. Solve i + f*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129b4 (base 12) to base 4.\nAnswer: 12100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 596 and 82397?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 359306053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 382*w\/3 - 128\/3 = 0. Calculate w.\nAnswer: -1\/3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m - 28 = 0, 4*d + 3*m - 18 - 5 = 0. Suppose 5*f - 446 - 309 = -d*c, 2*f - 3*c = 292. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)\/(5 - 4). Is q - (-4 - (15 - -5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 352?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15019, -14987, -14933, -14857, -14759, -14639, -14497?\n\"Answer: 11*x**2 - x - 15029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465859 and 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 20, 0.021, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 408*n\/7 - 410\/7.\nAnswer: 2*(n - 1)*(n + 205)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/49776039 or 0?\nAnswer: -10\/49776039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*4 - sqrt(114)*-1*2)\/(sqrt(600) + sqrt(600) + (sqrt(600) - 1*sqrt(600)*5) + sqrt(600) + sqrt(600) + sqrt(600)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**2*p**2 - o**2*p - 36*o**2 - 36*o*p - 3*o - 10*p**2 wrt o?\nAnswer: 8*p**2 - 2*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:52 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103?\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 8. Let m be w(-7). Is 38 + m*(-4)\/(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/5 - 58*w**2\/5 + 32*w - 66\/5.\nAnswer: 2*(w - 11)*(w - 3)*(2*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Suppose -3*x - x = 3*a, 2*x = 5*a. Let q be 0\/(x - -2) + -1. Sort 5, p, q in increasing order.\nAnswer: q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.2 + 12. Let x = 1.9 + -12.9. What is the third smallest value in x, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 3*m - 4*y - 8, -2*m + 12 = 2*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 2 + -1*(1 + sqrt(891)) + 4*(sqrt(891) - -3*sqrt(891)) + 2))**2.\nAnswer: 1080*sqrt(11) + 200491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:43 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 6*j + 7. Let f be g(-7). Suppose 4*n - 8 + f = 0. Suppose n*o - o - 11 = 0. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -9 + (-161)\/(-35). Which is smaller: x or 2\/45?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 57 = 4*p, -4*c - 5*p = 296 - 331 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = y + 13, -10 = -3*s + y + 1. Suppose 2*p - p = -2*r + 316, 789 = 5*r + s*p. List the prime factors of r.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*h = -1692*h + 2714 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 4*d - 3*d**2 + 2*d**2 + d - 1. Let u(n) = -7*n**2 - n. Let x be u(-1). Is j(x) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -173.74, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**2 + 17834 - 17834 + 35*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -245*w - 333. Determine l(-2).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u**(1\/2)\/u)\/u)\/u))\/u)\/u*u**(-5\/4)*(u**(-8)*u)\/(u\/u**(-1\/10))*(u\/u**1)\/(u\/(u\/(((u\/u**(2\/3)*u)\/u)\/u)*u))*(u\/u**2)**15 assuming u is positive.\nAnswer: u**(-1271\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6767890 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(40) - (4 + sqrt(38)\/sqrt(2)) - (-1 + sqrt(19) + -1 + (sqrt(133) + sqrt(133)*-1)\/sqrt(7)))**2.\nAnswer: 6*sqrt(19) + 187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39700 (base 10) in base 14?\nAnswer: -1067a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - x + 1. Let s be a(1). Let d = -7 + 14. Let h = d - 3. Sort h, -10, s in ascending order.\nAnswer: -10, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 79 + (72 - 169)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**38*q*q)\/q**(-3) assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518200 and 7825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36789471 or 36789479?\nAnswer: 36789479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 150, 0.1, -0.3, -3 in ascending order.\nAnswer: -3, -0.6, -0.3, 0.1, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2025*h**3\/8 + 3060*h**2 + 541*h\/2 + 6.\nAnswer: (h + 12)*(45*h + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9292 + -4072. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 3, 0.1, -419, -2 in decreasing order.\nAnswer: 3, 4\/5, 0.1, -2, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*b = -22, -3*b + 4 = -0*t + 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120, -239, -358, -477, -596?\n\"Answer: -119*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x - 1. Let n(i) = 17*i + 2. Calculate -2*n(u) - 5*t(u).\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 47\/3. Let g be ((-2)\/5)\/((-33)\/(-15)). What is the closest to 0 in p, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/(b**(-5)*b))**(-25\/6))**(5\/13) assuming b is positive.\nAnswer: b**(-250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 187784 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4676 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + 5*x + 2. Let l(j) = 11*j**2 - 11*j - 4. Let z(p) = 6*l(p) + 13*v(p). Give z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 - 102525*w**2 - 525722535*w - 1576245015 = 0.\nAnswer: -10251, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2568121497 divided by -3.\nAnswer: 856040499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14 and 7\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6938 + 62438\/9. Let s = -0.5 + -0.5. Which is the nearest to 1? (a) 2 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8794907, 8794935, 8794981, 8795045, 8795127, 8795227, 8795345?\n\"Answer: 9*w**2 + w + 8794897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-8)\/(-14) - 216\/(-63)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*2)\/sqrt(3)*2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 25*g**4 + 9*g**3 - 49*g**2 - 201*g - 144. Let l(i) = -18*i**4 - 10*i**3 + 50*i**2 + 202*i + 144. Let p(m) = -3*l(m) - 2*q(m). Solve p(h) = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 4)\/(-2 - -3). Let l(h) = -h**3 - 3*h**2 + 4*h + 6. Let d be l(n). Solve 0 = -o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018063 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -991*a**2 - 20*a - 380. Let x(m) = 18830*m**2 + 385*m + 7224. Let f(d) = -77*i(d) - 4*x(d). What is the derivative of f(r) wrt r?\nAnswer: 1974*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.242837 kilometers to micrometers.\nAnswer: 8242837000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*i + 537*i = 303*i + 2646 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*w**3 - 5*p**2 + 124*p*w**4 - 4*w wrt w?\nAnswer: 12*p**2*w + 1488*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58661 is divided by 782.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let g(w) = 2*w - w - 7*w - w**2 - 11 + 2. Let i be g(-3). Solve u + i - 3 = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z + 3992 - 2278 = -1872 - 4730 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*d. Suppose -2*i + 4*p + 14 = -3*i, d*i - 4*p - 6 = 0. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 2*i + 3*i - 2*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.3492 microseconds to milliseconds.\nAnswer: 0.7333492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255113?\nAnswer: 19, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose -3*c = -b - 9. Solve h = c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -516803 less than or equal to -517099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07498 - -0.07498. Which is the closest to 1? (a) 3 (b) -0.16 (c) 5\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or 1\/938?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2048) - sqrt(2))**2 + sqrt(200) + -3 - (sqrt(400)\/sqrt(8) + sqrt(162) + -2)**2)*-4.\nAnswer: -6092 - 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(152) + sqrt(152)*-1*2 - sqrt(152))*-6)\/(sqrt(16)\/sqrt(2)*-5 + sqrt(8) + (sqrt(8) - (sqrt(8) + (sqrt(8)*2 - sqrt(8)))*2)))**2)*-6.\nAnswer: -17004\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -48?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -794042.00052 + 794067. Let r = -25 + z. Round r to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*i, -50 + 10 = -3*k + 5*i. Suppose -90 = u - 3*u + k*s, 2*u + s = 78. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 88 + 10 = 5*f, -5*v - 3*f = 186. Let j = 30 + v. Let s be ((-16)\/j)\/((-12)\/(-18)). Solve -1 = n + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z + 1. Let j be m(11). Let d = j - -251. What is the greatest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + b + 3 + 0*b)*(33 - 19 + 91) as u + o*b and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**5 - 204 + 0*h + 0*h**3 - 1\/2*h**4 + 241\/2*h**2. What is the second derivative of t(s) wrt s?\nAnswer: -60*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/434 + 751\/16926. Find the common denominator of 41\/24 and q.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, s: 3}. Give prob of sequence sss.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -23. Suppose 4*v = 15 + 1. Let d(y) = -y**3 + 6*y**2 + y - 5. What is the remainder when d(v) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 360453\nAnswer: 720906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**5\/150 + y**4\/30 + y**3\/15 - 3*y**2\/2 - 2. Let n(c) be the second derivative of s(c). What is p in n(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(50) + sqrt(2)) + sqrt(242)*2 + -1 + -1)**2*5.\nAnswer: -1040*sqrt(2) + 27060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14135371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*r - 5*r, 5*a - 4 = 3*r. Let k = 10 - 10. Suppose 10 = 5*q - k. Solve q = 4*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 5747287?\nAnswer: -5747282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5585355 times -0.5?\nAnswer: -2792677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*f - f + 4*o, -3*o = 3*f - 24. Let g(d) = -d - 5. Let s be g(-7). Solve j - f + s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 - 16*i**2 - 21*i - 34. Let a(b) = 3*b**3 + 10*b**2 + 11*b + 17. Let u(g) = 7*a(g) + 4*f(g). Calculate u(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29072130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35334000 - 18794000. Round v to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/14252313 or 1?\nAnswer: 2\/14252313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 2*g + 24*g. Calculate the remainder when 11 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693592 divided by 479.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -194, -195, -198, -203, -210, -219?\n\"Answer: -x**2 + 2*x - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1646 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 - 3\/(-6). Suppose -2 = 2*r, 3*r = -3*v + u*r + 899. Let g = 570 - v. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 17*a - 7 + 3*a + 11 - 1 as l*a + y*a**2 + t + u*a**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 26, 3, 1 in descending order.\nAnswer: 26, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649 plus -0.1804?\nAnswer: -3649.1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from oeqioqkokookoeqqqq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2390 + 10780*q - 757 + 271 wrt q?\nAnswer: 10780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 864126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761574, 1523152, 2284732, 3046314, 3807898, 4569484?\nAnswer: 5331072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05152 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 - -21 - 5\/(-2 - -3). Solve b = -5*o - 10 - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 + 2. Let d(y) be the third derivative of -1\/6*y**4 + 0*y**3 + 0*y + 0 - 17*y**2. Determine d(p(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/((-8)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/15)*j)*j\/(j*j**8\/j))**(-3\/10)*((j**(-1\/3)*j)**(-18))**(1\/31) assuming j is positive.\nAnswer: j**(3089\/1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 1.99 (b) -4 (c) 15.2 (d) -1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 41402314?\nAnswer: -41402333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 - 25*y - 86. Let i be q(-5). Calculate the greatest common factor of i and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 - -18 - (-7 + -7 + 20)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 19\/4, -3 in increasing order.\nAnswer: -32, -3, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 284609?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 10. Suppose -h*b = 2*k - 148, -k + 6*b = b - 59. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4\/5 - 23192*v**3\/5 - 323968*v**2\/5 - 369792*v\/5 + 2221056\/5 = 0.\nAnswer: -5784, -12, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g. Let k be h(1). Let z = 2683 + -2678. Let d be (-2)\/(-9) + 16\/9. Solve -z*t - k = -d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uumuuumuumuuuuu.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*j = -19, 2*j + 4 = -5*a - 0. Let x be -2*1 - (-6)\/a. Let y = -34 + 33. What is the second smallest value in 0, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 5. Let h(g) = 2. Let j(r) = 5*h(r) - 2*z(r). Let t(x) be the third derivative of -x**5\/10 - 8*x**2. Calculate j(t(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.4. Let w be (2\/(-4))\/((-1)\/1). Let a = -268 + 267. Put j, a, w, -3 in ascending order.\nAnswer: -3, a, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/22 and 61\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*i - 10*i + 68 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:37 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/(i\/(i*i\/(i\/(i*i**(-2\/5)*i)*i*i*i*i)*i)))**(-8\/5) assuming i is positive.\nAnswer: i**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*y + 4*y - 4*y)*(10 - 1 - 11)*(-39 + 31 + 46) in the form w + d*y and give w.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:59 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 + 666. Suppose -3*y = 3*f - s, 3*f - 470 = 5*y - 90. Suppose 115 = 5*m - 3*x + 5*x, 5*m = x + f. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102221201010001 + -21?\nAnswer: 102221201002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7343410 - 4*k**2 - 4*k**3 - 7343409 + 4*k**2 + 14686819.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.101, -0.107, 5, 1 in decreasing order.\nAnswer: 5, 1, 4\/7, 0.101, -0.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i - 26*i - 4*q + 54 = 22*i, q + 102 = -3*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2089362, -1 in ascending order.\nAnswer: -2089362, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 14*p\/5 - 16\/5.\nAnswer: 2*(p - 1)*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 12*k - 14. Let a = -4392 - -4448. What is the remainder when a is divided by h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcb when three letters picked without replacement from vhwcvwvwwthwbwcvw?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -312*o + 372*o - 840. Suppose m = 15 - 1. What is the greatest common divisor of o and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87183 (base 13) in base 10?\nAnswer: 244143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(7029\/(-6)))\/(3\/(-810)). Let w = v - -40189\/14200. Find the common denominator of w and -123\/10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -791 + -3?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106503958?\nAnswer: 2, 11, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/64)\/(324\/(-864))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and -67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -89?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 9 - 7 = 5*x, -4*b = -4*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -54\/5. Let s = -0.2917 - 0.0083. Which is the nearest to 0? (a) j (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:48 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3406583, -13626348, -30659291, -54505412, -85164711?\n\"Answer: -3406589*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/132 and 101\/188?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/((-120)\/(-8)) - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1431697 and 91\/10?\nAnswer: 14316970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (35*(-5)\/(-75))\/((-35)\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 311*n - 76525. Give u(256).\nAnswer: 3091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -11466.0969921?\nAnswer: 11466.0969921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/35227276 and 39\/13174?\nAnswer: 35227276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 117*i**2 + 223*i + 868. What is o(115)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 2. List the prime factors of f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225*b**3*k**4 - 809*b**3 + 2*b**2 + b wrt k.\nAnswer: -900*b**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 2 + 2 + -1. Suppose z*f = -2*t + 2*f + 16, -f - 17 = -4*t. Suppose 2*q + 41 = y - q, -4*y + 119 = -t*q. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = 7*m - 511 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-2)*831*(-14)\/(-21) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*h - 158, -108 - 13 = -3*h - u. Suppose -4*a - h = -9*a. Solve -2*d = 4*j - 0*d - 4, 5*j - 4*d + a = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22098 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**3 + 5*b**2 - 5*b + 6. Let m(y) = 11*y**3 + 6*y**2 - 6*y + 7. What is -5*m(z) + 6*o(z)?\nAnswer: 11*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 14)*9\/3. Let m(t) = 6*t + 4. Determine m(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8100344 divided by 8.\nAnswer: 1012543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 4*p + 2. Let c be f(4). Suppose b + 6*z - c*z = -8, -3*z = 6. Solve -5*q = -b*q + 25, -2*u - q = 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -0.2, 0.2, -5\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69058243 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 927.1 to the nearest 10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - -30.8. Let h = s - 44. Let n = h + 15.9988. What is n rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 0*c + 2\/3*c**3 + 12 + 0*c**2. Let y(f) be the first derivative of 4*f**3\/3 - 1. Give y(r(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 0, -21\/17, 0.9, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013043 (base 6) in base 11?\nAnswer: -97706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + d - 4*d + 0 + 5*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10055 (base 14) in base 2?\nAnswer: -1001011001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10)*(-276)\/(-46)*(-1)\/5?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 14*h + 27. Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 10*d - 9 = -u, 0 = u + 5. Calculate the remainder when 811 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/594 and -56\/363.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 529506 * -8.13\nAnswer: -4304883.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/6 - 5*q**3\/2 + 13*q**2\/2 - 1420*q. Calculate z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**19*h)\/h*h)\/h*h)\/((h\/(h*h**(15\/2)))\/h) assuming h is positive.\nAnswer: h**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 191\nAnswer: 51\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 58443 and 58443 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.55 - -156.45. Let p = s + -161. Which is the third smallest value? (a) p (b) 0.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966046 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/((-2)\/6). Let i(l) = l**2 + 2*l**2 - l**y. Let c(g) = -2*g**2 - 202*g + 202*g. What is c(i(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhttth. What is prob of picking 2 t and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 8 = -2*m + 2, -m + 3*o - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j + 14 - 13 + 470*j.\nAnswer: 430*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -89, -142, -201, -266, -337?\n\"Answer: -3*j**2 - 38*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = y + 2*q, -172 = -2*y + q + 86. What is the greatest common factor of 26 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 + 341. What is the biggest value in h, -0.5, -2\/3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -106*r - 127*r + 228*r + 10, 0*u - 2*u = r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.6 (c) -1.1 (d) 2 (e) -373 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 m when four letters picked without replacement from {h: 3, m: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.1843, -3\/7, -0.4, 0.5?\nAnswer: -0.1843","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2564, 3377, 4190, 5003, 5816, 6629?\n\"Answer: 813*j + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/12 - 2*u**2 + 69*u. Let f(y) = y**2 + 4*y. What is o(f(s))?\nAnswer: 2*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -425537\nAnswer: -12340573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2177)\/(-294) + 2\/3 and -33\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9548864 and -616.\nAnswer: -9549480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 75?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 39606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 31. Suppose -5*j + 4*k = -x, k = -4*k. Let i be j\/(-1) + (-2)\/2. Put 2, 0, i in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -58. Let x = i - -107. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/30 - 13*d**4\/12 - 28*d**3\/3 - 11*d**2. What is the remainder when g(18) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -4288 in ascending order.\nAnswer: -4288, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 45. Let j = x + -15. Let g be (1 + -2)\/(3 + -2) + j. Which is bigger: 1\/16 or g?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j + 124. Let n(b) = 17*b + 186. Let x(h) = -5*n(h) + 7*v(h). What are the prime factors of x(-23)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 (base 8) in base 10?\nAnswer: -784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 692*u - 4840. Let h be z(7). Solve -45 = h*g + 6*b - b, 4*g - 25 = 9*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/4 - 15*k**2\/4.\nAnswer: -5*k**2*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2234700 and 37245.\nAnswer: 2234700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*p - 241, -3*q + 9*p = 14*p - 672. What is the remainder when q is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330290 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjq when three letters picked without replacement from {j: 2, q: 5, i: 3}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3 - 7*-1. Suppose -l + b = 4*l. Let c(i) = 6*i**3 - i**2 + i - 1. What is the units digit of c(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 + 75*p + 198 = 0. What is p?\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3484a7a + -4?\nAnswer: 3484a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.01677ug in tonnes?\nAnswer: 0.00000000000501677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -15.6. Which is the second biggest value? (a) 7 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 + 62*j - 138. Calculate c(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9198 a factor of 1367941425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Let t = 10 - d. Suppose 2*w - t*x + 2 = 3*w, 2*x = 3*w - 6. Solve 3*l = -4 - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 - (-1 + 0\/(-4)). Let k = y - 31. Let f be (-2)\/8 + (-39)\/k. Solve -5*n = f*p - 14, -4*n + 9*n = 4*p + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 276*b - 9486. Calculate l(-73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12362225.\nAnswer: 5, 577, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -29257*d - 614390. What is z(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296 + 235.6. Let n = i + 55.53. Let t = 0.13 - n. What is the smallest value in 3\/4, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**2\/4 - 3735*h\/2 - 534.\nAnswer: 3*(h - 356)*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 15\/(-2) - 2709\/(-258)*219\/(-105)?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(1 + 11))\/(4\/(-8)). Suppose -20*t - a*t**3 + 5\/2*t**4 + 20*t**2 - 1\/4*t**5 + 8 = 0. Calculate t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 41. What is the third derivative of u**2 + 2*u**3 + u + 9*u**n - u wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6239.\nAnswer: 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 2*h**3 - 3*h**3)*(-224*h + 224*h - 102*h**2).\nAnswer: 102*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**4*x + 2*p**4 + 21162*p**3 - 204*p**2*x + p**2 - 286*p - x - 1 wrt p?\nAnswer: -120*p*x + 48*p + 126972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -2*r**2 + 11*r + 331. Give b(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 5*r + 7. Let f(j) = -2*j**2 + 11*j - 15. Let a(n) = -3*f(n) - 5*v(n). Suppose -2*b = 3*b - 45. List the prime factors of a(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9706805\nAnswer: 4\/9706805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 17880.\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 5*v + 49, f - 3*v - 41 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 13*r + 11. Let o be x(11). Calculate the smallest common multiple of 16 and 154\/o*(-12)\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221248.\nAnswer: 2, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - y - 18254 = 3*v, 7296 = -2*v + y. What is v rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from hjwhkhwswhhjshhyhwws?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 at most -81213\/659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1900) + -1)**2.\nAnswer: -9505 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let v = b + 1.0016. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5048190462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 + 2*o + 1. Let p(w) = -7*w**2 - 4*w - 3. Give 4*l(v) + 3*p(v).\nAnswer: 3*v**2 - 4*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 + k - 9. Let t be o(8). Let j = -141 + 80. Let z = j + 64. What is the nearest to 0 in 0.2, t, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33536778 or 33536777?\nAnswer: 33536777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2048\/(-56320))\/(1\/(-121))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 293, 4, -3, -7, 14, -2 in descending order.\nAnswer: 293, 14, 4, 3, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, y: 1, q: 1, m: 1, k: 1}. What is prob of picking 1 r and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 771*k**2 - 32790*k - 247800.\nAnswer: 3*(k - 295)*(k + 10)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -32, 44, 120, 196?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -503 - -507. Which is the closest to 2\/7? (a) 1\/5 (b) 8\/5 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d**3 - 31*d**2 - 7*d + 99. Is y(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682055 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -209321, -418641, -627961, -837281, -1046601?\n\"Answer: -209320*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (-128 - -340 - -3)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -40417*i - 767934. Calculate x(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*j**3 - 2*j**2 + 2070*j?\nAnswer: 1110*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*1)) + sqrt(99) + sqrt(99))*-3)\/sqrt(9).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -19. Let o = 18 - l. Let r = -83\/170 - -3\/34. Do r and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -499 + 504. Suppose -3*t = -f*o - 3172, 30*o + 5240 = 5*t + 31*o. List the prime factors of t.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64145*y**2 - y - 2 + y - 64070*y**2 to the form d*y**2 + j*y + w and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432.5 + -432.3. What is the closest to 1\/25 in -3, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 2876417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -21.1. Let y = o - -0.8. Suppose z = -3*z + 12. What is the third smallest value in 1, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.6. Let u = -0.3584 + -2.9356. Let m = -0.706 + u. Put m, 2\/7, x in decreasing order.\nAnswer: 2\/7, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:44 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 7. Suppose -3*w = 3*q - 30, 0 = w - 2*q - 2*q + 5. Determine a(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 837, 1644, 2445, 3234, 4005, 4752?\nAnswer: 5469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 + -37 - -33) + 3 - (0 - -7 - -2).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.0438 rounded to zero dps?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 22*w**2 - 3*w - 3. Let m(i) = -111*i**2 + 15*i + 15. Let q(z) = -4*m(z) - 21*n(z). Let g be q(3). Round g to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 - 110. Calculate the smallest common multiple of (12\/(-10))\/(2\/(-10)) and ((-6)\/(-15))\/(5\/f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 124, 181, 246, 325?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/18*60\/16 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -45.9971. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*r + 3*q, r - 43 + 0 = 5*q. Solve -9*a - 9 - r = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110010?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflvnvpfppvpf. What is prob of sequence nplf?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6859258?\nAnswer: 2, 7, 97, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*y**2 - 13*y**2 + 34*y**4 + 45*y**2 wrt y.\nAnswer: 816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4591*y**3 - 14*y**2 + 8*y - 319?\nAnswer: -27546*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 - -59) + (-18 - (13 - 55)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77823 (base 9) to base 3\nAnswer: 2121220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3546471 rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 514*n + 298*n - 731*n + 17. Let y(w) = 27*w + 6. What is -4*p(g) + 11*y(g)?\nAnswer: -27*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3174 is divided by 173.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m + 20. Let f(i) = -134*i**2 - 426. Give d(f(v)).\nAnswer: -1608*v**2 - 5092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*m = 29 + 1, -2*m - 44 = -3*d. Suppose q - 18 = -2*q + 3*i, -4*q - i = -d. Suppose -4*v + 12 = -5*c, 13 = -4*c + 3*v + q. Solve c = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.272255172 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6490736 - -6490735.82100083. Let t = z - -0.179. Round t to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40839 less than -0.744?\nAnswer: -40839.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 times -0.1262?\nAnswer: 31.1714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3414 (base 6) to base 5\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7771.09977ms in weeks?\nAnswer: 0.000012849040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7065296 rounded to 1 dp?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.181161 to 1 dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2222134?\nAnswer: -2222131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 17*o**3 + 8*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 4*x - 9. Let m(d) = -6*d**2 + 4*d + 8. Let k(w) = -5*i(w) - 6*m(w). Let t be -1 - (2 - 2\/2). Calculate k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 426612288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 2*(-39)\/(-6). Suppose 18 = 3*g + 3*v, 2*g - 4*g + t = 3*v. Factor -2*d**g + d**2 + 6*d**3 - 3*d**4 + d**5 - 3*d**3.\nAnswer: d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 109 = 4. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 228*s**2 - 58 + 59.\nAnswer: -228*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -90.9. Let r(d) = d**2 - 16*d - 133. Let f be r(-6). What is the nearest to f in q, 2, -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -3 - 1)*6. Let k = n + -7. Let w(b) = b**3 - 2*b**2 + b + 1. Let a be w(2). Solve 3*y + 5 = -k*t, -9 = -a*y + 3*t + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/2 - 13*d**2\/2 + 2*d. What is the derivative of g(a) wrt a?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 418*s - 401*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:55 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*r + 4*d, -3*r + 3*d + 10 = -8. Let s(h) = 35*h + 4. What is the remainder when 155 is divided by s(r)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 387741187 - 387741187 - 55*x - 425*x)*(-4 + 0 + 3).\nAnswer: -x**2 + 480*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306716084 and 12?\nAnswer: 920148252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + 708896?\nAnswer: 708877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152035 and 27181519?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442615 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136222998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 1. Let x(p) = 2216*p**2 + p + 1. Determine x(i) - 3*z(i).\nAnswer: 2213*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3537370469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 6*z - 8. Let h(a) = a**2 + 5*a + 20. Let q be h(-7). Suppose -4*d + 12*l - 14*l - q = 0, 0 = -3*d - 3*l - 27. Calculate c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3 + s**2 - 240789*s - 309289 with respect to s.\nAnswer: -6*s**2 + 2*s - 240789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**4 - 128*k**3 + 16168*k**2 - 62848*k + 46812 = 0.\nAnswer: -83, 1, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 1, -4, 10, 4 in increasing order.\nAnswer: -4, 1, 4, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 14*s + 30. Let t be l(16). Let u = -190 - t. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(1\/4)))**(5\/3)*r\/r**4*r*r\/(r**(-4)\/r)*r*r assuming r is positive.\nAnswer: r**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6743, 6732, 6721, 6710?\nAnswer: 6699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29480 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -36937.332471.\nAnswer: -36935.332471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 457 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: Let c = 536.5 + -33. Let y = c + -504. What is the nearest to 2\/5 in y, -0.4, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (2 - 1 - 2). Let d(s) = -32*s**3 + s**2 + s - 1. Let v be d(p). Let x = v - -44. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c + 9 + 29 - 22 + 52*c - 128*c.\nAnswer: -2*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938232 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 2 o when four letters picked without replacement from {l: 1, g: 5, b: 1, o: 2, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114355121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - w - 6*w + 7*w - 4*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0.07, 10.\nAnswer: 0.07, 10, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-36*v - 23*v + 46*v) - 4*v + 0*v + 105 - 107 + (-v + v + v)*(-2 + 6 - 2) + (v + 2 - 2)*(2 - 3 + 2).\nAnswer: 25*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -6*t - 4. Which is the closest to -0.2? (a) 4 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 448*u**3 - 4115*u + 20133050?\nAnswer: 1344*u**2 - 4115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 548516917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110*z - 1260*z = -3847650. What are the prime factors of z?\nAnswer: 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 0 - 5*d**2 + d**2 with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2879615)\/(-16))\/((-60411)\/4). Let m = t - -2\/20137. Find the common denominator of -4 - (-3)\/(36\/290) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 52, 58, 66?\n\"Answer: m**2 + m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132900 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14550751\/39 or 373096?\nAnswer: 373096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -932797551, -932797552, -932797553, -932797554, -932797555?\n\"Answer: -j - 932797550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, e: 1, m: 4, r: 2, h: 3}. Give prob of picking 1 h and 2 m.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2470 or -4.989?\nAnswer: -4.989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19222 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*b - 876*b + 1818*b + 1860*b to the form t*b + x and give t.\nAnswer: 2689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8833 is divided by 1460.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 15. Let k = s + 5. Let y be (-3)\/(-2)*(-20)\/(-15). What is the nearest to y in k, 1\/5, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 4*d + 4. Let s be 7 + 4\/2 + -5. Let o be q(s). Let m = o + -6. What is the biggest value in m, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 9*w**2 - 9*w + 5. Calculate p(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97\/527 - 32937\/2108. Let x = g - -902\/17. Let b = x + -37. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3)\/(6\/(-4)). Let g(i) = -y*i - 2 + i + 3 + 0*i. Let n be g(-1). Solve z = -n*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8))\/(-1)*0 + -300. What is the hundreds digit of 40\/b - 6814\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260*(-67)\/8308*-31\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -0.14, 2, -1\/13, 3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04999935 - -0.05. Round v to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 1, b: 1, p: 2}. Give prob of picking 1 b and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4, -2*h + 3*f + 13 = 2*h. List the prime factors of 81 - ((-6)\/h)\/((-3)\/(-8)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 37 = 12. Let f(i) = i. Let v be f(x). Suppose -3*n - 5*a = -2*a - 18, 0 = n - v*a. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b + 243 = -294 - 1597 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171731946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5167 divided by 5167?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 555581 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*a - 28 = 0, -62 + 7 = 5*c + 5*a. Let n(l) = 4 - 7*l + 9*l**2 - 3*l + 4*l. Is n(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - 74 - (8 - -30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(121) - 6*sqrt(121)*2))\/(-4*(-1*sqrt(11)*2 - sqrt(11))))**2.\nAnswer: 33275\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(13\/3))\/(u\/u**(-10)) assuming u is positive.\nAnswer: u**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) -0.11 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {w: 3, k: 3, h: 5, l: 1, r: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a + 5*i - 3, 3 = -i. Find the third derivative of a*t**2 + 3*t**5 + 0*t**2 - t**2 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 16*x + 36. Let l be a(18). Solve 5*p + 10 = -l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.189 + 0.383. Let a = s + -0.48. Round a to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((125 - 133 - (0 + 1)) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/(-14) - (-2)\/7. Let k = -2791 + 2793. Sort g, k, 5, -2\/9 in decreasing order.\nAnswer: 5, k, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/27128923?\nAnswer: -6\/27128923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l = -7213, -4*g - 2*g + 8657 = l. Calculate the highest common divisor of g and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*f + 91, 0 = 4*l - 3*l - f - 17. Let v be ((1 - 1) + -1)*-7. Let a = l - v. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 - 5*z**2 - 11*z - 23. Let c(v) = -2*v**3 + 2*v**2 + 5*v + 11. Let l(a) = -7*c(a) - 3*o(a). Let m be (0\/5 + 0)*(-1)\/2. What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*z + 515, -2*z = -4*v - 173 + 1191. What is the remainder when v is divided by 88?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:30 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408119206 to the power of 1\/3, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.806781 to 2 dps.\nAnswer: -5.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128018801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63078 - 63078 - 265*c)*(2 + 2*c - 2).\nAnswer: -530*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - 5226?\nAnswer: -5180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.2. Let w = -1 + -3. Let s = w - -8. Which is the second smallest value? (a) -3 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 - 5*g**2 - 2*g + 5. Let z be o(-3). Let f = z + -97. What is the highest common divisor of f and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5\/7 - 40*x**4\/7 + 48*x**3\/7 + 288*x**2\/7.\nAnswer: 4*x**2*(x - 6)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4030 - 5?\nAnswer: -4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*t + 165*t + 1 + 373*t + 326*t.\nAnswer: 1669*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31356817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 28*z**2 + 91*z - 31. Let a be h(-31). Solve a = 2*n - 5*m, 2*n = -0*m - 5*m - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 1. Let t be m(-3). Suppose 3*b - r = -10, -2*r = -2*b - 0 - t. Let g be 20\/b*(-60)\/50. Solve 0*c - g = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 4*f + 3. Let s be q(2). Let w = s - 7. Solve -u = -3*v - 2*v, 3*v + 5*u + 28 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9268076922971 and -90.\nAnswer: -9268076923061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1344) - ((sqrt(1344) + sqrt(1344)*2)*3 - sqrt(1344) - sqrt(1344)))*-6)\/(sqrt(63)*-6 - sqrt(7)*1*-4))**2.\nAnswer: 62208\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.079 and 1371.85414.\nAnswer: 1370.77514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**2 + 38*b - 6. Is 86 a factor of w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540\/66 - (-4)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 8. Suppose -p - 37 = -z*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Let h = w + -2.14. Which is bigger: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-1)\/12. Suppose 2*z = -5*m - 7, 2*z = -0*z - 3*m - 13. Let q = z - -41\/4. Which is the nearest to j? (a) 0.4 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a factor of 87673510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -424620+-231\nAnswer: -424851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 4. Let q be 4\/(-6) - (-4)\/6. Let w = c + q. Solve -w*b - 3 - 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 45*r. Let g(v) = 736*v. Give a(g(b)).\nAnswer: 33120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = x. Which is bigger: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**3\/3 - 1. Let j(x) be the second derivative of 1\/3*x**3 + 3*x + 0*x**2 + 0. Determine s(j(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (-2 + sqrt(2))*-4*-5 + (sqrt(16)\/sqrt(2))**2 + 6*(2*sqrt(2))**2.\nAnswer: 24 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27989, -4, 0.04, -1\/5 in ascending order.\nAnswer: -4, -1\/5, -2\/27989, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/d**(-2))\/d*d**(-4\/3)*(d\/d**0)**36 assuming d is positive.\nAnswer: d**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -0.4, 8\/17, 19, -5?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428 + -4273\/10. What is the common denominator of k and 115\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h + 4. What is the third derivative of -13*u**3 + 13*u**3 + 8*u**6 + 0*u**2 + h*u**2 wrt u?\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5138 - -0.0138. Which is the second biggest value? (a) 2\/3 (b) o (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-45)*3 - 564\/(-2). Sort 5, -1, n in increasing order.\nAnswer: -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*r - 13 - 7 = 0, -h + 26 = -5*r. Which is the biggest value? (a) -2\/15 (b) h (c) 1264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 803.5 + -642. What is u rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14428 + 14430. Solve -o - 9 = -11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 4*h**5\/25 + 13*h**4\/20 + h**3 + 7*h**2\/10 + h\/5 - 2. Let t(i) = 0. What is i?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.058 - 0.058. Let y = -221.9 + 248.7. Let d = t - y. Does 0.09 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/3, -3\/38, -0.05, 194 in ascending order.\nAnswer: -3, -1\/3, -3\/38, -0.05, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 3*z - 3*z + (0 + 2 - 1)*(0 + 2*z + 0) + 288 - 26*z - 288 + (-5*z + 7*z - 1 - 1)*(-4 - 1 + 8).\nAnswer: -16*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30360 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 0. Let f(d) = -15 + 21296*d + 21295*d - 42601*d + d**2. Calculate f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 54 = -32. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803 = 60*v - 1056 - 1940 - 1261 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c - 1\/3*c**3 - 2 + 0*c**2. Let i(y) = y**2. Determine g(i(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765\/(-195) + 1\/(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**3 + 7*r**2 - 55*r - 13. Is d(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 253*u + 132717. Calculate k(-525).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by -79.\nAnswer: -261\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -31*m**3 - 13*m**2 + 11. Let w(j) = -16*j**3 - 7*j**2 + 6. Let z(b) = -6*u(b) + 11*w(b). Let r = 4 + 4. Suppose 2 = 10*p - r. Determine z(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/3*32\/6000*25?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1558 and -716.\nAnswer: 1115528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ollllllllllllllllo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3 - 2. Let u = -5 - j. Let x = 7525 + -7514. Solve 5*i = -0*b - b + 10, u = -3*b + 4*i + x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84540?\nAnswer: 2, 3, 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, x: 2}. Give prob of sequence ii.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -672 (c) 1 (d) 108.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 4:42 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.77 - 2.87. Put 6, q, 5 in ascending order.\nAnswer: q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 3. Let m be j(-1). Find the third derivative of 25*d**4 - d**4 - 6*d**2 - 7*d**m wrt d.\nAnswer: 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 8 + 3*b**2 - 13 + 5.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 6\/6)\/(-22 - (-180)\/10). Let f = -3.5 - -3. Let m = -2.97 - 0.03. What is the nearest to -2\/5 in m, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55137604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33446 - 18153. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -27 + (0 - (-7 - 0)) - -16) + -84.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -380, -2943, -9902, -23453, -45792, -79115?\n\"Answer: -366*c**3 - 2*c**2 + 5*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -m + 33, -4*x + 5*m = -0*m - 27. Let u = 2052 - 1893. Calculate the remainder when u is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k - 4485 = 110*k. What is the remainder when k is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -57*w + 99. Let p(c) = 7*c - 12. Let m(y) = 33*p(y) + 4*q(y). Let t(v) = -10*v**2. What is m(t(z))?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -5 + (-5*sqrt(1584)*-3 + ((sqrt(1584) - (sqrt(1584) + 0))*1 - sqrt(1584)))**2.\nAnswer: 310455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 450 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -357*v - 145 + 351*v + 222. Calculate z(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15*-3*(-4)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77678147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34409.\nAnswer: 19, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20)*q)\/q**(3\/4) assuming q is positive.\nAnswer: q**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1918 divided by -65463\nAnswer: 1918\/65463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 19 = -2*f, 25 + 3 = 4*f + 4*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) 25 (d) -0.745\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34148436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 47. Let n be ((-10)\/35)\/((-1)\/i). Suppose 2*p + 0*m = -n*m - 2, -4*m = 4. Solve 2*j - 8 = -p*j + l, 2*l = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-140)\/(-25)*30*(-5)\/(-2). Let r be 10\/(-105) + (-128)\/v. Which is the closest to 0? (a) -6 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0339 - -33.8361. Let l = 34 - u. Let t = l - 0.03. Which is the second smallest value? (a) t (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5184)\/(-30) - 7 - 2\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.06, -0.055?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -2*l. Suppose 2*d + 126 = l*w - d, -5*d = 4*w - 177. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:07 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 171423, 342828, 514233, 685638?\n\"Answer: 171405*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 2. Let x be 4 + (-12)\/10*15\/6. Let m(h) = -h. Calculate x*b(t) - 3*m(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 2*d - 2. Let q be x(-2). Suppose 2*r + 2*r + 4 = 0. Let p = r - q. Which is greater: 2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351489037 + -47\nAnswer: -351489084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**3 + 446*f**2 - 63375*f wrt f.\nAnswer: 30*f + 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*l - 54, 2*i + 47 = 36*l - 31*l for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 644403.9 centimeters?\nAnswer: 6444039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368187641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 2*p. Is 13 a factor of 2\/(p*(-3)\/(-102))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/2 + -1 + 5244\/152. Solve -3*a + 4*n = -5*a - 4, 0 = -7*a + n + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13279431.\nAnswer: 3, 11, 17, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 19*a - 16. Let j be p(-18). Find the second derivative of -17*u - u**j + u**2 + 19*u**2 wrt u.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 25 = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3 + 81006*o**2\/7 - 23148*o\/7.\nAnswer: 6*o*(o + 1929)*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 177046\/11 and 16095 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 35*f + 7. Calculate o(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g + 2. Let u be s(2). Suppose -88 = -u*d + 40. Let f = d - 31. Is 1\/5 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1668*t**2 + 12*t + 1. Is j(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-57))\/(1*-2)*2\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4661850 and 29\/41956650.\nAnswer: 41956650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 630\/(-35) + 8 + (2 - (4 + -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqoooolo. What is prob of picking 1 q, 1 o, and 1 l?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0 + 0*a**5 + 0*a**3 + 1\/60*a**6 + 9*a**2 + 0*a + 13\/24*a**4. Find the second derivative of t(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(1375\/3850).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, 1\/9, -4, -6.\nAnswer: -6, -4, 1\/9, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 24800716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -38 + 152. Let c = 2 + 6. Calculate the remainder when k is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*w = 35, 5*j - 702*w + 703*w + 14 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 3*s + 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*d - 26, 7*i - 2*i + 62 = -3*d. Let q be ((-4)\/i)\/((-24)\/90). Let z = 2154\/11 - 196. What is the biggest value in q, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207\/4 + 53. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-95)\/399)\/((-8)\/(-28)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 7*a**7\/18 - 14*a**6\/15 + 3*a**5\/5 + 33*a. Factor q(t).\nAnswer: t**3*(7*t - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 3*n**3 + n**4 + 55 - 53 + 2*n**3 in the form c + t*n + d*n**3 + s*n**4 + j*n**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3326412, 6652822, 9979224, 13305618, 16632004, 19958382, 23284752?\n\"Answer: -4*j**2 + 3326422*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 633510573 and 109239?\nAnswer: 8403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1830, 3616, 5698, 8226, 11350?\nAnswer: 15220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 12*j - 60, 2*j - 160 = 4*c - 39 - 31 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1167133*i + 146819359 wrt i?\nAnswer: -1167133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87 + 2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5353 = 4*h - 5*s - 5728, -5*h - s = -13873. Let l = 1687 + h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67575 or -67578?\nAnswer: -67575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353 - -286. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 110 = 3*d + 145, 4*d - o = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107, -104, -101?\n\"Answer: 3*c - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*f = 9*p - 58, -2*f = 8. Is p < 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 3}. Give prob of sequence jaa.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/90 and -43\/834.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.52 - 23.02. Which is the fourth biggest value? (a) -4 (b) 86 (c) q (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {l: 3, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23452 and 905034.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*d - 12, -4*u + 10 = d - 65. Let z(b) = -u*b + 6*b**3 + 9*b**2 - 7*b**3 + 6*b + 8. What is the remainder when z(7) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5)*-2 + -1 - ((sqrt(20))**2 + 1)).\nAnswer: -88 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637))*4 - (sqrt(637) + (sqrt(637) + 1)*2)) + 0.\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 333 + 333 + 5*w**2 + 7*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:24 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m - 3*m - 10*m - 12 + 16*m - 4*m**2 to s*m**2 + a + j*m and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131332 and 39456?\nAnswer: 1295458848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 21. Let s(q) = 3*q + 11. Calculate 6*k(l) + 11*s(l).\nAnswer: 3*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.52561l to millilitres.\nAnswer: 21525.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, p: 6}. What is prob of sequence ppp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o - 144*o - 98 = 57*o - 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i**4 - i**3 + 29*i**4 - 4*i**4 - 15*i**2 - 12*i**4 to o + z*i**2 + s*i + v*i**4 + k*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/(x\/(x*x**(-7)))*(x\/(x*x**(-6)\/x)*x*x)\/(x*x**(1\/3)))\/((x**(-1\/2))**(5\/13)\/(x**3*x\/x**(-3))) assuming x is positive.\nAnswer: x**(100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Suppose 4*r - 10 - v = -k, -2*k = 3*r - 14. Factor -2*d**2 + k*d**5 - 5*d**3 + 4*d**2 + d + d**2 - 6*d**2 + 3*d**4.\nAnswer: d*(d - 1)*(d + 1)**2*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*f**2 - 80*f**2 - 14*f**5 + (3 + 2*f - 3)*(-2*f**4 + 3*f - 3*f) + 5*f**5 - 4*f**5 + f**5 + 3*f**5 + 4*f**5 - 3*f**5.\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14. Let l = u + 3. Solve -4*b + l = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.906? (a) 0.4 (b) -1 (c) 4 (d) 0 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*n**2*x**3 + 6*n**2*x**2 - 132*n**2 + n*x**2 - 7*x wrt x?\nAnswer: -444*n**2*x + 12*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/15 - 2*z**2. Let s(r) = -r. Determine s(d(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/11*2332\/636?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -47. Calculate the highest common factor of b and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24900527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7140 divided by -420\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -15. Let c = 2 - x. What is the closest to 0 in c, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -798, 1, 2, 0, 10 in descending order.\nAnswer: 10, 2, 1, 0, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003149536775 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/3 + 2*z**3 - 5*z**2 + 8*z\/3 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -0.021\nAnswer: 0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 56*l = 30. Let g be 516\/15 - 1 - (-18)\/l. Suppose 5*p - 113 = -4*y + g, p - 42 = -5*y. Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 + 2*y. Suppose 4*c - 20 = -2*q, 3*q = 4*c - 13 - 17. Let n be (0 - c) + (-7 - (-7 - 1)). Determine d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:50 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*f**3 + f + 5*f**4 - 3 - 6*f**4 - 9*f**3 - 13*f**3 + f**2 - 1 as h*f**2 + c*f**4 + w + l*f**3 + v*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r - 19. Let l(w) = -3*w - 9. Let o(v) = -2*j(v) + 5*l(v). Let a(u) = -u - 3. Suppose 13*q + 36 = 7*q. Give q*o(c) + 14*a(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3026\/41 + -82612\/615. Let u = q + 206. Calculate the common denominator of -91\/50 and u.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 2. Let i be n(3). Let f be (-1)\/(-3)*-3 + (4 - 0). Find the first derivative of i*s**2 + 10*s**2 + 0 - f - 8*s**2 wrt s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 4*h + 1. Let b(j) = 2*j + j + 0*j - 2. Let n be b(2). Let a = n - 0. Let s(f) = 3*f**2 - 5*f + 1. Determine a*s(w) - 5*t(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - -13)\/(((-2)\/(-8))\/((-69783)\/(-168)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 16*r + 32. Let k be l(-14). Solve -d - 5*w - 2 = -0*w, 3*d - k*w = 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -87\/2*w - 90 + 3\/4*w**2 = 0.\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-2)\/(-6))\/1. Let o(g) be the third derivative of -5*g**2 + 0*g**5 + 5\/6*g**3 + 0 - 1\/24*g**6 + 0*g + w*g**4. Differentiate o(h) wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2900 and 182346925.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179 = -3*h - 3*a, -7*h + 9*h - 811 = 3*a. List the prime factors of h.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104.730561 times -0.4\nAnswer: 41.8922244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216340 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3 + s - 3. Let j(a) = 3*a + 1. Let y(p) = -p**3 + 5*p**2 + 7*p - 5. Let m be y(6). Give m*j(h) - 5*f(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 45 = 5*f, 4*n = -9 + 29. Let k = f + 17. Suppose 151 - 23 = 2*m. Calculate the remainder when m is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9936006 to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/248 and 43*(8 - 94\/12)?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 26\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 10 - 13)*(-2*n**2 + 8*n**2 - 2*n**2) - n**2 - 2*n**2 + 0*n**2.\nAnswer: 97*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybq when three letters picked without replacement from bqyyqyyyyqydydq?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-357)\/(-714).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -76, -21, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15757219, 2\/5, -3\/5 in ascending order.\nAnswer: -3\/5, 2\/5, 15757219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/2840 and -27\/1420?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 2, 3\/4, -8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -5005?\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -334, -679, -1034, -1399, -1774, -2159, -2554?\n\"Answer: -5*m**2 - 330*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8352*n + 400852. What is d(-48)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4\/4 - 13*n**3\/3 + n**2\/2 + 17*n - 2. Suppose 18*f = f - 221. Let m be l(f). Sort 1, m, -1, 2 in increasing order.\nAnswer: -1, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 - 4*o + 4. Let v(l) = -112*l**2 - 63*l + 63. Let k(h) = 63*c(h) - 4*v(h). Let t(s) = -2*s. Give k(t(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*10\/1470)\/((-154)\/2156).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-30))\/(280\/(-50)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 14*p**2 - 7*p - 10. Let s be d(12). Let a = -102 + s. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 4)*(0 + 0 + 3*t) + t + 2*t - t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.617465 decades to centuries.\nAnswer: 0.8617465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7940, -7971, -8000, -8027?\n\"Answer: k**2 - 34*k - 7907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (1546\/(-5))\/((-208)\/520)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 28 - 9 = 4*b, -m + 19 = -5*b. What is the highest common factor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 + 145251*y - 145246*y + 4*y**2 + 0*y**2 + 11 to a*y + d + h*y**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c - 2*c. Let f be 5*(-2 - (-12)\/5). Suppose 5 = 4*h - f*q - 11, 5*h - 22 = c*q. Solve -h*z = -0 + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22313 (base 13) in base 9?\nAnswer: -104082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5477940811?\nAnswer: 7, 223, 3509251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 7 + 12. Solve 5*d + 7*y - m = 4*y, 2*d - y = 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 71. Suppose -13*a + 5*a = 488. Let j = 160 + a. What is the highest common divisor of j and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -419.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 r, and 1 b when four letters picked without replacement from mrbjbbjccjbrjs.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-647*o**2 - 652*o**2 + 1282*o**2 + 3*o**3)*(-28*o - 11 + 11 + 60*o).\nAnswer: 96*o**4 - 544*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 662 or 0.1?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-2*sqrt(117)*3 - (sqrt(117) - (2 + 2 + sqrt(117)))))**2.\nAnswer: -5184*sqrt(13) + 152208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 173*t + 382. Give b(-35).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/12)*l*((((l**(-1\/3)\/l)\/l)\/l)\/l)\/l)\/(l**11*(((l**1*l*l)\/l)\/l*l)\/l))**(-15\/7) assuming l is positive.\nAnswer: l**(975\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 1 - 4 + 3*l**3 + 7*l**2 + 4*l. Let u = -12 + 6. List the prime factors of r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + 812?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 9*w\/2.\nAnswer: -3*w*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p**2 + 7\/6*p**6 - 12\/5*p**5 + 3\/4*p**4 + 4 + 2\/3*p**3 + 0*p. Find k such that l(k) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10975744135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*-23415.105\nAnswer: -117075.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*s - 218, 2*a - 2*s + 108 = -0*a. Let f = -53 - a. Solve 0*j - f = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**2 + 69*w - 707.\nAnswer: 2*w + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15418, -15178, -15178, -15538, -16378, -17818, -19978, -22978?\n\"Answer: -20*z**3 + 380*z - 15778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*b**5 + 0*b + 0*b**2 + 5\/3*b**3 + 0 - 11\/6*b**4 = 0. Calculate b.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(150)\/sqrt(3) - sqrt(50)) - -6*(sqrt(90)\/(sqrt(36)\/sqrt(4)))\/sqrt(5).\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h. Let q = 4 + -4. Suppose q = -2*d + 14 - 10. Let x(v) = 61 - 61 - d*v. Calculate x(w(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3 - 165*a**2\/2 + 168*a + 4014. Factor o(i).\nAnswer: -3*(i - 1)*(i + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1541648 - 4001.5.\nAnswer: -1545649.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -71. Let a = 73.06 + -0.06. Let b = l - a. Is -4 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = 71*p - 368. Let n be 1\/3 - 28\/(-6). Suppose 0 = -5*g + n*u + 30, p*g = -g + u + 18. Solve a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 2)*(-1 + 2 + 1) - 1 + 6 - 2)*(2 + 1 - 4)*(4*k**2 + 2 - 2 + (-1 - 1 + 4)*(-2*k**2 - 2*k**2 + 5*k**2) - 14*k**2 + 8*k**2 - 18*k**2).\nAnswer: 126*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1658250515\/6 at least -276375085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132655 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3553?\nAnswer: -1\/3553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41600 + 5991345\nAnswer: 5949745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2411, -2399, -2369, -2315, -2231?\n\"Answer: j**3 + 3*j**2 - 4*j - 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 1656 = 9*c. Suppose 0 = 7*n - 10*n + c. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-35) + (-19)\/(-7). Let m(c) = c**3 - c**2 - 3*c - 1. Calculate m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**3 + 6*b**3 + (-2*b + b**2 + 2*b)*(-5*b + 4*b + 19*b) + (-5 - 7*b + 5)*(-3*b**2 + 2*b**2 + 2*b**2).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m. Let u(q) = -17*q. Suppose -v + 5*d - 3*d - 12 = 0, 2*d = 3*v + 36. Let h = -18 - v. Calculate h*u(c) + 11*y(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60521\/1196 - -1351\/26. Let z = i + -14\/23. Let q = -6025 - -6018. Which is the third smallest value? (a) z (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 15. Suppose 329 = -a*d - 51. Let w = -38 - d. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -4. Let n = d - 12. Let r = n - -22. Which is bigger: r or -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.5, 6, -1\/3, 0.3, 11\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:40 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**2 - 20*u**2 + 61*u**2)*(41 - 41 + 28*u)*(-1 + 0 + 4).\nAnswer: 4788*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 2*u**3\/3 + 4*u**2 - 4*u + 2. Is j(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 16*v**2. Let k(p) = -2*p**2. What is w(k(x))?\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.187 - -0.023. Let v = -0.12 + q. Let p = v + -0.0899956. Round p to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**3 + r**3 - 6*r**3)*(-60 + 74 + 36)*(-6*r - 8*r + 9*r - 3) in the form i + w*r**2 + d*r**4 + z*r**3 + k*r and give d.\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 12, e: 1}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:16 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f**2 - f**2 - 2*f**2)*(3*f - f - f)*(-3*f + 3*f + 5*f) to the form v*f**3 + n*f**4 + m*f**2 + c + t*f and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 3*a = -12, 0 = -3*t + 1388405*a - 1388409*a - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252, -503, -754, -1005?\n\"Answer: -251*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.054 + 0.054. Let w = -97 - r. What is the biggest value in 1, -2, -0.4, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q + 2. Let m(u) = 47*u - 5. Let o(r) = -7*b(r) - 3*m(r). Suppose 0*d - d = -2. List the prime factors of o(d).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f + 7. Let w be l(-8). Let n = 94 - 102. Sort n, 5, w.\nAnswer: n, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/13860 + 5*x**4\/8 - 16*x**2. Let c(r) be the second derivative of n(r). Find y such that c(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*o + 0 + 2*o)*(0 + 1 - 2).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 + 205. Let u(i) = -i**3 + 24*i**2 - 11*i - 25. List the prime factors of u(x).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93684, -102661, -111648, -120651, -129676?\n\"Answer: -i**3 + i**2 - 8973*i - 84711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:30 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 40 (c) 3\/19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178342 or 1\/2?\nAnswer: 178342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 != 778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 42*f**2 - f + 1. Let d be n(1). Let o be d\/105 + 157\/(-5). Let q = 36 + o. Solve 3*v = -q*i + 5*v + 15, -2*i + 4*v - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 15*w + 3. Let i be z(-8). Let o be 16\/(-18)*(i\/(-540) - 0). Is o greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 5983013.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/20 + 13*g**4\/12 - 7*g**3\/6 + g**2 - 10*g. Calculate the remainder when d(12) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, -498, 352?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let r be -3 - -1 - (-9 + 0 + 2). Suppose -r*w + 152 - 42 = 0. Solve 2*o - w = 3*u, -f*u + 6 = -2*u + 2*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*230\/(-138)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 7. Let i be d(-5). Let x = i - 7. Let g = x + 12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -0*n + 243. Let x = -13 + n. Let f be (10\/7)\/(1\/x). Solve 0*t = 5*t - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 0*o + w - 400, 5*w + 2932977 = 2932957 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 110 - 113 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:19 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -1 - (3 + 1)) + -20 - 13.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 10*x**2 - 21*x + 47. Let d(q) = q**3 + 3*q**2 + 7*q - 16. Let w(k) = 17*d(k) + 6*f(k). What is the remainder when 4 is divided by w(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14*14\/(-49) + 0\/2. Let a be 2\/(-4)*p\/(-2)*1. Solve 4*k - 3*k = -a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 5*u + 4. Let z be p(-3). Solve 5*d - z - 14 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-3 - -5) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*c**2 - 61*c**2 - 58*c**2.\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12058, -10058, -8058, -6058, -4058?\n\"Answer: 2000*i - 14058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176241510 a multiple of 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3981445 (b) 3 (c) -4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1555 + 778 + 777 - 38*n**2 + 4*n.\nAnswer: -38*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93930 by 3030.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 13) to base 15\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 19*u**2 - 6*u + 23*u + 0*u**2 - u**2 + 41 - u**3. Let y be r(19). What is the greatest common factor of y and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108475 (base 9) in base 4?\nAnswer: -33323321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/15 - (-648)\/5. Suppose 5*r = -q - 67, 0 = -0*r + 4*r. Let m = j + q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 8.6. Let l be 1\/(-3) - 26\/(-6). Let t be 0\/(-25) + (3 - 2) + (-12)\/6. What is the second biggest value in z, l, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150, 1384, 4772, 11394, 22330, 38660, 61464?\n\"Answer: 180*h**3 - 3*h**2 - 17*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -184.667.\nAnswer: -187.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 25*x + 3*g + 27, -4*g - 24 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q**2 - 196*q - 187. Let p(h) = 17*h**2 + 196*h + 185. Let o(z) = -6*f(z) - 5*p(z). Factor o(c).\nAnswer: -(c - 197)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34827 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w. Give a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 105740?\nAnswer: 317220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 703084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z**3 - 3*z**2 - 28*z + 21. What is the tens digit of c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22\/7 - -3. Let t be 2 + (-9)\/4 - 0. Let k = -0.1 + -0.1. Sort t, k, f in descending order.\nAnswer: f, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5888*x - 29435. Let w be b(5). Let p(j) = 10*j**2 - 2*j - 5. Let s(z) = z**2 + z. Let v(n) = p(n) + 2*s(n). Let r(y) = -y**2 + 1. Give w*r(o) + v(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 2, o: 1, c: 2, w: 1}. Give prob of picking 1 w, 2 z, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*o**2 + 20108*o + 48144 = 0. Calculate o.\nAnswer: -1003, -12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 190 = -2*x. Let h = x + 37. Let z be (7\/(-105))\/(h - 4\/(-6)). Which is the nearest to 0? (a) 1\/6 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-50))\/((-104)\/(-390))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51693558.\nAnswer: 2, 3, 7, 23, 59, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226977362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 43789424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 48*y**2 - 147*y + 101. Is a(42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**18\/h)\/h*h*h**(5\/4)\/h*h*h)**6 assuming h is positive.\nAnswer: h**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598310?\nAnswer: 2, 5, 19, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562108 is divided by 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:15 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 14630.36067.\nAnswer: 14633.36067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 - 3*c**2 + 9*c + 3 + 16*c**2 in the form x + w*c**2 + v*c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + (-3 - 272\/(-20)) - 38\/(-20). Factor 5*p**3 - 5\/2*p**4 - 5*p + m*p**2 + 0.\nAnswer: -5*p*(p - 2)*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 3:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c*i**2*m - 2*c*i*m**3 - 2675*i**2*m**3 - m**3 - 433 wrt m.\nAnswer: -12*c*i*m - 16050*i**2*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(243) + -5 + -1*sqrt(243) + sqrt(243) + sqrt(243) + 3)**2.\nAnswer: 108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18894, -18893, -18898, -18915, -18950, -19009?\nAnswer: -19098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*a**3*j**4 - 110*a**3*j - 32*a**3 - 3*a**2*j**4 + 4*a*j**3 - 2*j**2 wrt j?\nAnswer: 5016*a**3*j - 72*a**2*j + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28560 divided by -7?\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 - 258*a - 1287\/5.\nAnswer: -3*(a + 1)*(a + 429)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 - 2824*b**3 - 498436*b**2 = 0?\nAnswer: -353, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*q + 23*q + 456 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 66. Put 4, -0.3, p in descending order.\nAnswer: 4, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11526743.\nAnswer: 61, 233, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)**11)**1 assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 1\/3 (c) 63255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211364856.\nAnswer: 2, 3, 978541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**3 + 2*q**2 - 2*q - 2. Let t(j) = 17*j**3 + 5*j**2 - 5*j - 5. What is 10*h(r) - 4*t(r)?\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x - x)*(-39*x - 6*x**2 + 19*x**4 - 21*x**4 + 41*x).\nAnswer: 6*x**5 + 18*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30980.59 hours?\nAnswer: 1858835.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2105653 rounded to 3 dps?\nAnswer: 4.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (5\/(-35) - 36\/(-7)). Let a = -13 + 19. What is the remainder when (3\/12)\/(i - 1106\/(-184)) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 10\/9?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16054, 2, 19, 0 in ascending order.\nAnswer: -16054, -3, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-32)*(-1)\/(-3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 5*q - 3. Let l be o(-6). Let s be (-9)\/(135\/10)*33\/2. Let b = s - l. Which is smaller: -13\/4 or b?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 325 = -2*c, 4*v = 6*c - 3*c - 490. Suppose 3196 = 9*f - c. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 1:13 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110001000111010011010?\nAnswer: -110001000111010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66653*t**2*y**4 + t**2*y**3 + t**2*y**2 + 42188*y**2 wrt y.\nAnswer: -1599672*t**2*y + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - (-96)\/(-15). Let p be (-3)\/27 + (-160)\/18. Let y = g - p. Solve y*h + 11 = 2*z, z = -2*h + 2 - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 9, f: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828297 is divided by 9233?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -0.2. Let j = -471637.74 + 471635.5400041. Let u = w - j. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -55.\nAnswer: 87\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 + 5*d - 9. Let y be g(-3). Let f be (56\/(-12) + y)*(-18)\/8. Let w be (-1)\/(-4) + 22\/8. Calculate the greatest common factor of f and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 210 = 6. Let p = z + 43. Let j = p + -46. Calculate the least common multiple of j and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 18 (c) -5 (d) -0.01 (e) 0.3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/i**(-2\/9))**5 assuming i is positive.\nAnswer: i**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522367219 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.37292? (a) -6 (b) -2\/5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112901 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 64. Let p(w) = -6*w - 68. Let u be p(q). Let i = 12 - u. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*o - y - 1677, -3*y + 2763 = 5*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**3 - 3*s**3 + 4*s**3)*(-30 + 8 + 5078*s + 22 + 16994*s - 1253*s) to the form q*s**3 + b*s**2 + g*s + j + h*s**4 and give h.\nAnswer: 41638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from nnppppnnpppppppppp?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**2 + 44*s + 282. Calculate l(-5).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {r: 4, a: 8, t: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 - 24*z**3 - 72*z**2 - 64*z = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 112*v**2 + 5*v. Let j(n) = 280*n**2 + 12*n. Calculate 12*g(w) - 5*j(w).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173449, 346891, 520337, 693787?\nAnswer: 867241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 16. Let g be w(12). Suppose g = 5*x - 1265. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 28*f - 204. Let s(x) = -57*x + 408. Let l(q) = 5*h(q) + 2*s(q). What is the remainder when l(13) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7069*t**4 + 13*t**3 + 71*t + 275. Let o(g) = 1178*g**4 - 2*g**3 - 12*g - 46. Let b(d) = -13*o(d) - 2*z(d). Find the second derivative of b(a) wrt a.\nAnswer: -14112*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, 3, -5, -83\/4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 209 = 25*k. Let q be (4\/k)\/((-4)\/56*-1). Solve n + q = -2*t, 4*n + 19 - 2 = 3*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8813, 70239, 236969, 561653, 1096941, 1895483, 3009929, 4492929?\n\"Answer: 8775*p**3 + 2*p**2 - 5*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54 and -1128.0694?\nAnswer: 1074.0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*p = -k - 4*p, 13*p = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3308242 and 5198666.\nAnswer: 36390662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, a: 1}. What is prob of sequence yva?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and -52.\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 2*q = 107, -5*o - q - 104 = 0. Let s = o + 26. Suppose -3*b - 90 = -s*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7912.219m?\nAnswer: 7912219000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 57?\nAnswer: -7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*x - 3*x - 2*s, -5*x - 50 = 5*s. Let f = 10 - x. Let r(t) = -71*t - 353. Let u be r(-5). Solve u*d = -3*d - f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -3)*168\/(-1008). Which is the second smallest value? (a) 0.1 (b) k (c) -30 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 265. Let p = 121 - s. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294 + -526. Let q = m + 235. Solve 5 = q*u + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = -3*j, 22*k = 2*j + 24*k - 4. Let r = -1 + 3. Let b = -3 + r. What is the nearest to j in -5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2501 + 3?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 93607 = 3607. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let o = 2795 + -2796. Let k(f) be the first derivative of 2*f**2 - 5*f + 1. Suppose 2*c - 5 = 1. Give c*g(m) + o*k(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 243 - 245. Suppose 3*b - 10 = -2*b. Solve x + b*s + i*s = -1, -1 = -s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from xeecwtwwaeeweec?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933306932 plus -0.031?\nAnswer: 1933306931.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 124. Suppose 0 = -2*x - 4*c - 8, 3*x - x + 5*c + 11 = f. What is the second derivative of 18*z**2 + 8*z**2 - z**x - 6*z - z wrt z?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 32.4, 1.3?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-3 - -4))\/(2\/(-142)). Solve -a + v - 75 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 4*h - 335. Let x = h - -67. Which is smaller: -5\/14 or x?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*o**3 + 2\/5*o + 0 - 6\/5*o**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/160? (a) -0.2 (b) -1 (c) 4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4587922l in millilitres?\nAnswer: 458.7922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.84 - 48.840002633. Round d to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 44 - 7*a)*(-4 + 2 + 5)*(-3*a + 2*a + 3*a).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7129752?\nAnswer: 2, 3, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 318.6077 to 1 dp.\nAnswer: 318.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 9*x**3 - 5 + 9*x**3 - 19*x**3 - 4. Let s(a) be the second derivative of -2*a**3\/3 - 2*a. Determine s(p(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 - 2*n - 12. Let h(c) = 86*c - 87*c + 2*c**2 + 2*c**2 - 3*c**2 - 3. Let u(t) = -5*h(t) + s(t). What is u(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 + 400123?\nAnswer: 400234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 36 + 4 + (-10 - 0) + 19 - 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*d**6 - 13*d**2 - 8 wrt d.\nAnswer: -11040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 2*q - 24 = -13*t, -3*q = 6. Solve -3*j + j + t = -2*f, -7 = 5*f - 4*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*l - 4, 2*a + l - 12 = -0*l. Let y(j) = j**3 - 3*j**2 - 3*j + 6. Let v be y(a). Suppose -1 = q - v. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w, 447*j = 444*j + 35*w - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/9)\/o**(5\/6) assuming o is positive.\nAnswer: o**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -193. Let s = -60 + c. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 + 11*p - 17. Calculate b(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**3 + 87*i**2 - 48*i - 388. Let t(u) = 0. Calculate u.\nAnswer: 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 7*n + 25 - 2*n + n + 5*n + 7*n + 0*n - 2*n - 3*n + 2*n + 0*n + (-2*n + n + 0*n)*(-1 + 0 + 2) + n - n - 2*n in the form k + g*n and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.928 + 0.072. What is the nearest to -2\/3 in g, 1\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/60 - 5*h**4\/24 + 2*h**3\/3 + h**2. Let l be (2\/4)\/((-6)\/(-96)). Is w(l) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-112)\/(-24)*30\/7. Suppose u + j = 6*u. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((3*sqrt(140))\/sqrt(10)*2)\/(((sqrt(144)*-2)\/sqrt(9))\/sqrt(8)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -14. Let x = i + 1.7. Let w = 0.2 - 0.2. Which is the biggest value? (a) w (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19e262 - -10?\nAnswer: -19e252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 166 - 158. Let c = -39 - k. Solve x = -4*x + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, 159, 366, 611, 894, 1215?\n\"Answer: 19*t**2 + 112*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -16. Calculate the common denominator of ((-44)\/(-18))\/2 + -2 and ((-52)\/(-78))\/((-4)\/v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - z + 8 = -6, i = 3*z - 10. Suppose -i*q + 315 = -3*q. What are the prime factors of q\/(-7)*(-1 - -2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/9)*s*s*s*(s**(-6)*s*s)\/s assuming s is positive.\nAnswer: s**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 25*f - 48. Let d be u(-27). Calculate the highest common divisor of 21 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -57149.\nAnswer: -78\/57149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1637 + 1521. Is n at most -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-3)\/(-4)). Let f = j - -1. What is the remainder when 9 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*a - 19, 2 + 5 = d - 2*a. Suppose d*v - 442 = 332. Is 2*(-1 - v\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d. Let u(w) = -7*w + 3. Let b(a) = 0*a + 5*a + 6*a - 4 - 3*a. Let c(f) = 3*b(f) + 4*u(f). Give c(m(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 138 - 56. Let i = -92 + l. Solve 4*o = -5*m - 3, o - 4*m + 1 = -i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2384*l + 4664 - 4*l**3 + 1263*l + 2320*l**2 + 3341*l.\nAnswer: -4*(l - 583)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 61.2. Let p = 11.7939 + h. Round p to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/20 - v**4\/3 + v**3\/2 - 3*v**2\/2 - 4*v + 19. Let m(b) be the first derivative of a(b). What is m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - q + 13 = 2*y, y + 3*q - 13 = 0. Let a be -3*(-5)\/(-75)*-25. Let u = a + y. Solve -u*d - 4 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303 + -1132?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.1, -8923?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*h + 4 = 2*n, 2*h = -n + 4. Let y(f) = -2*f + n*f + 4*f. Let g(x) be the third derivative of x**4\/24 + 3*x**2. Give g(y(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -10. Let p = 6 - -7. What is the remainder when c is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) + (-61)\/(-5). Let j(y) = -y**2 - 6*y - 3. Let t be j(-2). Solve a = -t*x + x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -61055116*w**2. Let s(y) = -3*y**2. Calculate s(f(n)).\nAnswer: -11183181569320368*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/((-12)\/9). Let g be 10\/24 - (900\/(-80) - -11). What is the second smallest value in -1, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 61, -1, 0.6, 2\/11, -120.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0628 + 10.1772. Let y = -9.026 + s. Round y to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286990 = 27*k - 9*k + 37*k. Sort 1, k, 4 in ascending order.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44412343 (base 5) to base 11\nAnswer: 245958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 35239.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 3*c - 1. Determine t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 228 = 216 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:36 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604195.2g to nanograms.\nAnswer: 604195200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11971895\/5226 - (-7)\/6 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h - 39. Let b be u(-8). Let x(v) = 5614288*v + 16. Let n be x(b). Round n to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.007 + -25.993. Let u = 31 + m. Suppose -7*h + 16*h = -45. Which is the closest to -1? (a) 1\/2 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2903 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-x + x + 3*x)*(-4*x - x + 4*x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 5*n**2 + 7*n + 10. Determine k(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 33 + z - 10*z**3 + 2*z**3 + z**2 + 7*z**3. Give x(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 39*c - 362. Let i(w) = 3*w**2 + 39*w + 360. Let f(u) = 3*i(u) + 4*z(u). What is the derivative of f(n) wrt n?\nAnswer: 2*n - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.62467us in nanoseconds?\nAnswer: 25624.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.4. Let l = -281 - -276. What is the nearest to 0 in d, -2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddydddyydd. Give prob of picking 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000424078 rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + 3520.67673.\nAnswer: 3639.67673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2\/2 - 2*x + 3. Suppose 16*w = 29 + 19. Give d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + s. Suppose h = 2*k - 11, 0*h - h - s*k = -13. Let m = -52 - -48. Is m smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k = 91*k + 3*p, -3*p = -5*k - p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 2 + 3 + (-3 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, -335, 43 in decreasing order.\nAnswer: 43, -2, -3, -5, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 2*f**2 + 21*f - 12. Let v be x(-6). Calculate the greatest common factor of v and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 + -55. Let z = 95 - b. Sort -8\/3, 5, -5, z in descending order.\nAnswer: 5, z, -8\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 - 3. Let y be s(3). Let v be 1\/2 - y\/2. Suppose -h - 2*k = -129, h + 3*k = -0*k + 133. What is the highest common factor of h and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 + 0.7. Let f = y - -0.08. Which is the biggest value? (a) -0.5 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -36. Put 2, w, 0.3 in decreasing order.\nAnswer: 2, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*u**2 + 10*u**2 + 42*u**2 + 586*u as q*u + r*u**2 + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012391658 to seven dps.\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -16 - 4 - -6. Solve 2*v = 4*g - v - 16, 0 = 3*g - 4*v - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 7 = 4*m. Let i = 12 - m. Solve 4*h + 3*p = -2*p - 13, -i = 4*h - 3*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 4. Let v(b) = -65 + 129 - 65. Suppose 5*n - 66 = 16*n. Let u(s) = s**3 - s**2 - 3*s + 1. Let f be u(2). Determine f*g(z) + n*v(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -675835913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) + 3 - 2. Let o = p - 2. Let w be (-4)\/18 - 16\/90. Do w and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1308 - 3051. Let h be 6\/15 - t\/10. Let d = h + -928\/5. What is the common denominator of 29\/2 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -696 - -698. Let x(i) = -4*i + 9. What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -507\/5. What is the nearest to -0.3 in 2\/3, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/7, 3\/2, -43, 1.8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 52*z. Let b(q) = -2*q. Determine b(l(i)).\nAnswer: -104*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/331614 and -91\/1296?\nAnswer: 2652912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h*n*x - 4*h*x - 9*h + 3*n*x + 6*n - 1 wrt x?\nAnswer: 5*h*n - 4*h + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:13 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -129*d**3 + 18*d - 82. What are the prime factors of q(-5)?\nAnswer: 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Suppose -3*a - q*a = -200. Suppose -3*o - 12 = -2*s + o, 0 = -2*s - 3*o + 40. Calculate the remainder when a is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -11\/5 (c) 11 (d) 3944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {c: 2, q: 3, d: 4, t: 2, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from llmhihlmhllillilh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/120*o**6 + 1\/4*o**4 + 153*o**2 - 1\/6*o**3 + 1\/10*o**5 + 0 + 0*o. Calculate u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2248*h + 1261 + 5483 = 0. Factor 7\/4*l + 1\/4*l**h + 15\/4 - 7\/4*l**2.\nAnswer: (l - 5)*(l - 3)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6401, 4985, 2623, -685, -4939, -10139?\n\"Answer: -473*v**2 + 3*v + 6871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 2040?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556346544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*m**2*o - 43*m**2 + 7*m*o + 3*m - 3*o - 4 with respect to o.\nAnswer: -40*m**2 + 7*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 37 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -76?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/((-3)\/(-36)). Let b = l + -6. Solve 0 = -2*u + 4*a - 16, -b*u - 16 = -0*u - 4*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v. Suppose n - 4*n + 6 = v. Solve 2*b + n*j + 4 = 4*j, 0 = -3*b + 2*j - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-5 - (-26 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 34024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooh. Give prob of picking 1 o and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -5 (c) -1\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 5, -4, -19?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -10*m + 3. Sort -15, 0, m in descending order.\nAnswer: 0, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0147 - -137.1853. Let a = r + -137. What is the nearest to 0 in 1, a, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1034780850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401339639.\nAnswer: 31, 77462569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -1235, -1837?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1, 16, -0.063?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 8*h + 10. Give m(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 830710452 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 287.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2951.1 + 2951. Which is the closest to 6? (a) 0.2 (b) -4 (c) 21 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*b**2 + 719*b**2 - 33276*b + 307980*b.\nAnswer: -b**2 + 274704*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + -2*sqrt(252)).\nAnswer: -36*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1772216 and -91\/1515992.\nAnswer: 125827336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 68?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13955275 is divided by 775291?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*d - 3 + 7, -5*d + 4 = c. Suppose -g + c = g. Suppose g*k - 6 = b, 8 + 18 = 5*k + 3*b. 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 j = 38 + -38. Suppose 5*r + 2*r + 154 = j. Let f be (4 - r\/(-6))*21. What is the greatest common factor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:18 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/6 + 7*s**2\/2 + 146*s. Suppose 6 = -5*q - 29. Let o(l) = -l + 13. What is q*r(v) + 4*o(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3083*g + 67291 = -535 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 55. Suppose -6*h + o*h - 2849 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1066)\/10 - 10\/25. Let u = s - -107. Solve u*w + 2*w - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 10*c + 13*c = -2, 4*f - 18 = 2*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -4, -138466 in descending order.\nAnswer: -3, -4, -8, -138466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 30. Let n(c) = 26*c - 12007. Give y(n(r)).\nAnswer: -130*r + 60005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/24)\/7)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 187.2 * -303.4\nAnswer: -56796.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-2)\/(-24). Suppose 0 = 3*v + v - 8. Is v less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-312) + 2\/(-4). Which is smaller: 0.41 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47493054023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 + w**4\/3 + 18728*w**3\/3 + 31204*w**2\/3 + 4160*w = 0.\nAnswer: -78, -1, -2\/3, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 3}. What is prob of picking 2 w and 1 r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3606 + 11235. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5796222?\nAnswer: 2, 3, 83, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w**3 + 138*w**2 - 216*w = 0 for w.\nAnswer: 0, 18\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (4\/14)\/((-100)\/3325)*-10\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 65 = 2*w, 70*w = 66*w + 2*y + 106 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90475*v - 273257*v + 92315*v + 90468*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11051 + 2244034?\nAnswer: 2255125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 68 + 0*n + 3*n - 41 - 4. Determine a(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2345 = -5*d + 4*j, -3*d = 4*j - 1407. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 4*u + 6 = 20*p, -10 = -5*p - 5*u. Let d(i) = -5*i**3 + 3*i**2 + 4*i + 3. Let x(r) = r**3 - r**2 - r - 1. Calculate p*d(a) + 6*x(a).\nAnswer: -4*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -267, -562, -965, -1476?\n\"Answer: -54*s**2 - 25*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -27.3 in decreasing order.\nAnswer: -3, -4, -27.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1101, 2201, 3301?\n\"Answer: 1100*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 2. Calculate the smallest common multiple of 8 and v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -356*s**3\/3 + 9486*s - 10748. What is the derivative of d(f) wrt f?\nAnswer: -712*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 3030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/57 (b) -1\/4 (c) -1 (d) 55 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 5*c - 1. Let r = 28731 - 28735. Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*3*((sqrt(19) - sqrt(76)\/sqrt(4)) + 3))**2 + (sqrt(1216) + -1)**2*5 + 4).\nAnswer: -40570 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 219, 243, 283, 339?\n\"Answer: 8*c**2 + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6322 or -6323?\nAnswer: -6322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/48)\/((2\/4)\/((-8)\/32))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/432 and 151\/27288.\nAnswer: 163728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(-10\/3)*j\/j**(3\/4)*j*j\/j**4*(j\/(j*j**6\/j)*j**(4\/3))**(6\/19) assuming j is positive.\nAnswer: j**(-473\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36810 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10 = -3*v, -5*v - 517*m + 512*m + 43 - 13 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let a(q) = -u*q**2 + 4*q**2 - 4*q - 5 + q**2. What is the lowest common multiple of a(6) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*((-2)\/(-1))\/(-12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -13 + 8 + (7 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -2\/13 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*h + 17, -2*n + 2*h = -2*h + 8. Suppose -n = 2*q + 2*v - 7*v, -3*q - 2*v = -16. Solve 3*g + m + 3 = -m, -5*g - q*m = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136.5 - 98. Let x = f + -28. Round x to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*s - 381*s = 40 + 100 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/45 + -52\/315. Let x = 0.0228 - 0.5228. Let p(c) = -2*c**3 + 4*c**2 - 3*c + 1. Let n be p(2). What is the biggest value in n, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**(11\/6)*(y**(-1))**(-24\/13))\/((y**(-1))**(2\/21))**44 assuming y is positive.\nAnswer: y**(5945\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let n = r - -3. Let d(i) = i**3 - 3*i**2 + 2*i + 2. Let v be d(n). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*h)*(4 - 1 - 1)*(6*h + 2*h - 5*h)*(-2*h + 1 - 1)*(8*h + 9*h - 8*h) in the form s*h + z*h**2 + k*h**3 + o + b*h**4 and give b.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l + 4. Let u(t) = 7 + t - 8 - 2*t. Let w(y) = r(y) + 5*u(y). What is the derivative of w(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7)\/(-20*2 + (484 - 490)).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43230221 - 4402?\nAnswer: 43220314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:08 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -933*d - 20046 - 15567 = 20877 + 12552 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/6548 and 84\/1008*12\/9 - (-338)\/36?\nAnswer: 6548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/((-49)\/(7350\/(-240))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*((-8)\/(-36))\/((-18)\/162).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.8 * 0.09.\nAnswer: -2.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 465320239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: aa6d (base 15) to base 13\nAnswer: 13582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v. Let i be (0 + 5 - 1) + v. Which is the biggest value? (a) -2\/3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.18. Suppose 33*q + 380 = -43*q. Which is the second biggest value? (a) 7 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/91, 0.4, 0.1, 7, -3 in decreasing order.\nAnswer: 7, 0.4, 0.1, -2\/91, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - -12.8. Let t = -13.93 + m. Let q = t - -1.93. Which is the second smallest value? (a) 0 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 33. Let w(r) = r**2 + r - 1. What is w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72023798117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 20 = -11*u. Let h(w) = 9*w**3 - 6*w**3 - 2 - 4*w**3 + 8*w + u*w**2. Does 3 divide h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-10) - (-5376)\/(-1280).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 403 + -2423\/6. Put o, -3\/2, 5 in increasing order.\nAnswer: -3\/2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 30210*a**3 + 76023456*a**2 - 152167776*a.\nAnswer: 3*a*(a - 2)*(a + 5036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -65291.\nAnswer: -30\/65291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = 3*d, 3*d - 2*d = -5*m + 20. Suppose d*q - 4*q = -16. Factor -3 + q*k**3 - 9*k**3 - 15*k**2 - 2 - 15*k.\nAnswer: -5*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826112859 and 9438?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -41, 4 in decreasing order.\nAnswer: 4, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 - 3.8. Is q less than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/9 - m**2\/9 - 2*m\/9 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 5*h - 1. Let x be s(-2). What is the highest common factor of x and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3)\/((-1)\/4). Suppose 4*l - 23 = -5*s + c, -38 = -4*l - 2*s. Calculate the greatest common divisor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607*f**4 - 197*f**4 + 385*f**4 + 95 - 148 wrt f.\nAnswer: 3180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 3. Let v be z(-3). Suppose v = 5*f - f - 12. Solve -8 = 3*m - 2, -2 = -f*p + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 127594*f + 127596.\nAnswer: -2*(f - 63798)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12084, 24160, 36236?\n\"Answer: 12076*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26348 or 0.1?\nAnswer: -26348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/2 - 183*s**2 - 9873*s\/2 + 16497 = 0. What is s?\nAnswer: -78, -47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (16 + -25) - ((-4 - -3) + -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1731, -2\/3, -1 in increasing order.\nAnswer: -1731, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2460, -2494, -2528, -2562?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (-3 + 4)*(26 + 3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 16955102 = -7*s - 44*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39713256573*f - 6*f**2 + 1 + 39713256573*f.\nAnswer: -6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -177864 and -177865 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(6\/8). Let x(h) = 5*h**2 + 2*h. Let m(p) = -6*p**2 - 3*p - 1. Let d(r) = -2*m(r) - 3*x(r). Give d(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*40\/(-352)*12\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000403745 rounded to six decimal places?\nAnswer: -0.000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16272*b**2 - 96*b - 96. Let g(r) = 855*r**2 - 5*r - 5. What is 96*g(s) - 5*n(s)?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5256*v - 154 = -5245*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -0.04 (c) -915 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -0.1 (b) 3\/5 (c) 85\/4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 13. Let u = -14 + 17. Suppose 0*o - u*o = -24. Let l be i(o). Solve 1 - l = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ac5 (base 15) to base 13\nAnswer: 5942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83011 is divided by 40210.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008868 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Let d(s) = -s**3 + 6*s**2 - 5*s - 4. Calculate d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 equal to -313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 0. Sort -0.4, -2, r in increasing order.\nAnswer: -2, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/57, 1, -28, 0.1, 0.05?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-18)\/z))\/z)\/(z*(((z**(-1\/2)*z)\/z)\/z)\/z))**12)**(-2\/13) assuming z is positive.\nAnswer: z**(-492\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10488, 10863, 11876, 13845, 17088?\nAnswer: 21923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*b - 35*b + 141 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -910 or 0.2?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/335725 and 36\/335725.\nAnswer: 335725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 28*s - 82. Let i be y(-31). Find the first derivative of 10 - i + 109 + 40 + 148*v**2 wrt v.\nAnswer: 296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:54 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149634*x**2 - 4*x + 949543.\nAnswer: -299268*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.323724 rounded to zero decimal places?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**2\/2 - 2*w + 2. Let i = 8 - 5. Calculate the remainder when 13 is divided by j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 9*l - 4*y = -32, 0 = 4*l - 5*y + 36. Let z(j) = -6*j. Let t(d) = 2*d. Let u(m) = 7*m. Let i(x) = -21*t(x) + 5*u(x). Determine l*z(h) + 3*i(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100 and 0.018269?\nAnswer: -1.8269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11547 + 14130. Calculate the highest common divisor of 3731 and r.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316665 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - h = 11*n - 71, 7*n + 13 - 18 = 5*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 15*h**4\/4 + 2*h**3\/3 - h - 153. Give p(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 5*c + 3. Let d be k(-5). Suppose 3*j = t + 2, -2*t = -d*j + t + 12. What is the closest to 1 in j, -3\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 1 + 4 - 18 + 0 + (6 - 2 - 2)*(-4 + 1 + 1) + 1 + 0 + 0)*(-34 - 29 + 46)*(0 + k + 0) to n + l*k and give l.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435531929?\nAnswer: 3, 13, 29, 131, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22 = 13. Suppose -n - w*s = -2*s + 16, 0 = -4*n + s - 84. Let t be (-1 + n\/(-22))*-1. Which is the smallest value? (a) 2\/13 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4104 and 1729?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 - 1186\/5. Suppose 0 = -2*v - 4. What is the second smallest value in v, m, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/(-540) - 0) + 4\/(-30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 36*y + 43. Let q be d(-17). Solve 14*m - q - 33 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 34*z - 39. Let g(a) = -a**2 - 12*a - 13. Determine -17*g(c) + 6*k(c).\nAnswer: -7*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 34. Suppose -5*m - z = 0, 2*x + m = 5*m + 144. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*f**3 - 4*f**2 - 108\/7 + 102\/7*f.\nAnswer: 2*(f - 9)*(f - 3)*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2220030132 + 4?\nAnswer: -2220030123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 391\/(-51) - (-7 - 0). What is the second smallest value in 1\/5, 183, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:03 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110925193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 13144 - 20228. What are the prime factors of b?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u. Let q(i) = -i - 342081. What is s(q(b))?\nAnswer: -21*b - 7183701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 16. Let p be ((-3)\/(-2) + -2)*-52*10518\/22789. Solve -v + 4 = 3*k + 5, d*k = -4*v + p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -453*u**5\/5 + 23*u**3\/3 - u**2\/2 - 26. Find the third derivative of m(y) wrt y.\nAnswer: -10872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 + 7*t**3\/3 + 5*t**2\/2 - 7*t - 3. Let u be p(-6). Is 3 a factor of (-3 - u)\/(-1) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-788)\/(-8) - -2)*6\/9?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 - (-57)\/72. Let u = a + -17\/8. What is o in -u*o - 1\/3*o**2 - 1\/3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/14 + (-63)\/(-49))*443. Let n = 620 - f. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6687, -6497, -6307, -6117?\n\"Answer: 190*p - 6877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -565\/129193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -30*b. Let n(g) = -464*g. What is i(n(l))?\nAnswer: 13920*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 + 4*j**2 + 2*j - 14. Let l(x) = -13*x**3 + 7*x**2 + 4*x - 27. Calculate -4*l(s) + 7*n(s).\nAnswer: 3*s**3 - 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 115. Let a be -12*-3*j\/42. Let z = 1228\/63 + a. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t - 5*n, 5*n = t + 3*t - 48. Solve 0 = 5*x - 32 + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 38026620?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75599549?\nAnswer: 29, 2606881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.48 * 889.\nAnswer: -10205.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*t + 46*t - 75978. Calculate the remainder when t is divided by 201.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i. Let u(f) = f**2 + 6*f - 6. Let a(w) = 3*w**2 + 24*w - 2269. Let t(v) = -a(v) + 4*u(v). What is c(t(s))?\nAnswer: -3*s**2 - 6735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -170190 rounded to the nearest 1000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*j**2 + 5*j**3 - 58*j**2 - 1 wrt j?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 378 - -0.291853189501.\nAnswer: 378.291853189501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126601.\nAnswer: 126601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26 - (-3 + (2 - 1)). Suppose 5*o - r = c, -4*o + 2*r = -10 - 16. Solve -o*v + 11 = 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**9\/252 - l**5\/12 - 5*l**2\/2 + 1. Let c(n) be the second derivative of m(n). What is the third derivative of c(y) wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*u - 37, 5*r - 12*u = -8*u. Put 7, r, 5, 9 in increasing order.\nAnswer: r, 5, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = 3*a, 0 = -5*n + 4 + 11. What is the remainder when 25 is divided by a*(-6 + -3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/25)\/2)\/((-54)\/720)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymremerx. Give prob of picking 1 m, 1 y, 1 r, and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 149 = -5*p. Let b = p - 18. Suppose 0 + b = 3*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -405 + -752?\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*d*f**2*t**3 - 2*d*f**2*t**2 - 6*d*f*t**3 + d*f - 7*d*t**2 + 23*d*t wrt t?\nAnswer: 468*d*f**2 - 36*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(sqrt(125) + 1) - (sqrt(125) + -2 + -4)) + (sqrt(125) - (-4 + 1*sqrt(125)) - -3*(-2 + sqrt(125))))**2.\nAnswer: 700*sqrt(5) + 3321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 39, 60, 83, 108, 135, 164?\n\"Answer: r**2 + 16*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by 6\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -732187.\nAnswer: 4393122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122638651?\nAnswer: 29, 47, 89977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Let m(h) = -h**2 - 8*h - 9. Let z(b) = m(b) + 4*v(b). Is z(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/9, -1\/576?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388700 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -1311 - 1334 + 2555. Factor 9\/2*i**2 + 9\/4 + 0*i**3 - a*i - 3\/4*i**4.\nAnswer: -3*(i - 1)**3*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -657 - 1?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11631000 rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 30*p**2 + 6*p + 16. Let l be q(-30). Is (-67117)\/l - (7\/(-4) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052053 (base 6) to base 7.\nAnswer: -312162","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 2101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 1325*w**3 + 43125*w**2 - 331875*w.\nAnswer: -5*w*(w - 15)**2*(w + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 1\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/13)\/(127 - 79296\/624).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 1d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 8) in base 7?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1532932 + -1532877.00053. Let d = -55 + k. Round d to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284141.\nAnswer: 11, 13, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06561 - 685.46561. What is s rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 6. Let t be g(8). Solve y + t*y - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from voihoqi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5018.027 micrometers?\nAnswer: 0.000005018027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373060.502 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Suppose -a = -5*i + 9, a + 3559 - 3566 = -3*i. Calculate the highest common divisor of x and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606652?\nAnswer: 2, 37, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -289f (base 16) in base 5?\nAnswer: -313044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 - 1. Let x(j) = 18*j**3 + 4*j**2 + j - 1. Determine -3*s(h) - x(h).\nAnswer: -15*h**3 - h**2 - h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + t - t**4 - t**3 - 2*t**2. Let p(s) = -2*s**4 + 3*s**3 - 4*s**2 - 3*s. Let h(r) = -3*o(r) - p(r). What is the third derivative of h(j) wrt j?\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191912 divided by -3.\nAnswer: -191912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -7a2765?\nAnswer: 7a2760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -p + 37 - 22, -27 = 7*p - 5*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 53 - 88*s**3 - 195 + 51 + 44 + 49 - s to the form j*s + o + b*s**2 + r*s**3 and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/16 - (-1157)\/(-356). Solve -82*x + i*x = 492 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189143130 smaller than -189143130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.21794355 - -2.218. What is u rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 0.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*((-66)\/44)\/(9\/4) - -15261.\nAnswer: 5, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from dvdqqfq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169 or -1844\/11?\nAnswer: -1844\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -1 - 0\/(-1). Let h(w) = -w**3 + 9*w**2 - w + 3. Let s be h(i). Let f = 5 - s. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s + 16*s - 252 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430) + sqrt(2430) + sqrt(2430) + 2*sqrt(2430) + sqrt(2430))\/sqrt(6))**2.\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1052423 + 34?\nAnswer: -1052345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100.2 - 1.2. Let y = r + -98.6. What is the smallest value in -1\/8, -2\/5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/20 + 5*f**4\/6 + f**3\/3 + 23*f**2\/2 - 2*f + 26. Let s be h(-10). Solve 5*l + 17 = -s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24472172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*(1391 + -2). Let u = a - 312. Suppose 0 = q - 2*q - 4*c + u, 2*c = 3*q - 495. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 129*g**2 + 1676*g + 2379. Give d(141).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16231\/5 + 65017\/20. Suppose j - 4 = -j. What is the common denominator of r and j - 2 - (-27)\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 90 = 0. Let u(w) = 168*w**3 + 2*w + 3. Let j be u(-1). Let s = 172 + j. Calculate the remainder when h is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 4*t**2 - 2 + 3*t. Let r(o) = -o**2 + 19*o - 86. Let g be r(7). Calculate the smallest common multiple of 14 and l(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 3*p**4 + 3*p**4 + 2*p**4 - p + p + (-p - 6*p + 15*p)*(0*p**3 - 4*p**3 + 6*p**3) - 4*p**4 + p**4 + 2*p**4.\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 3*k)*(-k + 5*k - 3*k) - 40*k**2 - 17 + 103*k**2 + 16.\nAnswer: 65*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5544729 and 27.\nAnswer: 16634187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(5) - (sqrt(160)\/sqrt(4))\/sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -21*y - 40 + 34. Put 238, 3, y in decreasing order.\nAnswer: 238, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(-7 - 41\/(-6)). Let d(x) = x**2 - 4*x + 1. Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 a factor of 392173204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:06 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3685 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 25*f**2 - 63*f**2 + 41*f - 83*f**2 - 41*f to the form s*f**2 + k*f + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**7\/56 + r**6\/20 - r**5\/40 - 8*r**3\/3 + 7*r. Let v(u) be the second derivative of n(u). Solve v(f) = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 1, c: 11, e: 2}. Give prob of sequence dcgc.\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 105 = -3*r - 4*i, -i - 66 = -2*r. Suppose 2*w = 4*w - r. Let g = w - 31. Round g to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 409 + -431 - (-89 - -2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44339 is divided by 453.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356026 is divided by 21490.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(12078\/1403)\/(-99).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. What is the nearest to -1 in -1\/7, 0.5, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 38378060?\nAnswer: 38378059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42400, 42408, 42422, 42442, 42468, 42500, 42538?\nAnswer: 42582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u - 8*u - 11*u + 7)*(-2*u**3 - 2*u**3 + 2*u**3) + (2*u - 4*u + 0*u)*(2*u**3 + 3*u - 3*u) + 35 - 35 - 5*u**4.\nAnswer: 7*u**4 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3138, 3160, 3194, 3246, 3322, 3428, 3570?\nAnswer: 3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125386 and 73982.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 38. List the prime factors of f - -1*(3 + -2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-125)\/35 + 4 - 22\/(-14). Suppose -4*f = -1 - 11, 0 = -2*v - 3*f + 15. Put n, v, 18 in descending order.\nAnswer: 18, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 18, 101941 in decreasing order.\nAnswer: 101941, 18, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c0 - 3?\nAnswer: -3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4122568?\nAnswer: 2, 17, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248653.\nAnswer: 19, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - (sqrt(63) + sqrt(63) + 1 + sqrt(63))**2) + (sqrt(70)\/(sqrt(10)*-1))**2.\nAnswer: -566 - 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + ((sqrt(539) - (sqrt(539) + 0)) + 5 - sqrt(539)) + sqrt(539) + 3)**2 - -6*(2*sqrt(539) + 2)*4).\nAnswer: 78 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = 2*y, 5*m = 28*y - 23*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588131281 to the power of 1\/2, to the nearest integer?\nAnswer: 39851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:24 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -7 - (-11 - -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 * 5.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.0023 + -59. What is y rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/u**1*u**(-3\/8)\/(u**(-1)\/u)*(u\/(u\/u**(2\/3)))**(-46)\/((u**(-4\/5)*u)\/(u\/u**(-1\/4)*u)) assuming u is positive.\nAnswer: u**(-3599\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - 2*sqrt(90) - sqrt(10)*-2*1)\/(sqrt(45)*1 + sqrt(60)\/(sqrt(48)\/sqrt(4))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 23*c - 105*c = -376 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 5. Let k(b) = -b**2 - 25*b + 178. Suppose 27*d = 108 + 54. Let o be k(d). Calculate x(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/11*22)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 844685.2 and -0.28.\nAnswer: 844684.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a5199 - 55?\nAnswer: a5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 3*x + 1. Let m(o) = 9*o**3 + o**2 - 8*o + 3. What is -8*l(g) + 3*m(g)?\nAnswer: 3*g**3 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0693 (b) 2 (c) 0.3 (d) -0.3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -0.376, 2\/11, -6\/7, -0.186, 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -73. Let x be (-2)\/(-4) - (-186)\/(-4). Let a = x + v. Solve 15 = -o - 4*u, -5*o + 9 = -u - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a. Suppose -v - v - 6 = a. Let d(p) = -3*p**2 + 1. Let x(q) = -4*q**2 - q. Let z(m) = v*d(m) + 2*x(m). Calculate z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 1\/9 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let x be 13\/5 - d\/5. Suppose -579 = -x*n + 561. What is n 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 value of (-3)\/46 + 823065\/68218?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5699186l in millilitres?\nAnswer: 569.9186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z + 5. Suppose -5*m + 2*d + 23 = -0*d, -21 = -3*m + 3*d. Let y be s(m). List the prime factors of y\/6*(-1 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhyyaahhgghhgah. What is prob of picking 2 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 7312342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:13 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 298, 297?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.4 minus -0.19?\nAnswer: -24.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (39\/(-6))\/((-2)\/8). Let w = b - 29. Is w\/8 + 42713\/88 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298072106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*d**5 - 3000*d**4 - d**2 + 10812433*d?\nAnswer: -1320*d**3 - 36000*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let l(x) = -6*x**2 - 224*x. Give l(a(r)).\nAnswer: -6*r**4 - 224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 64*n - 3. Let v(m) = -3*m. Calculate v(f(p)).\nAnswer: -192*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 - 9*w - 4. Let x(l) = -6*l**2 - 6*l + 3 + 16*l - 2*l. Let t(i) = 3*p(i) + 4*x(i). What is the second derivative of t(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 11*z**2 - 12*z + 3. Let u be i(-12). Let g be (-25000)\/u*162\/(-15). What is g rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466.\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 0.2, -0.31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**3 + 4 - 3 + 1)*(-q - q + 4*q) to the form f + c*q + i*q**2 + v*q**4 + a*q**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4249, 4255, 4263, 4273, 4285, 4299, 4315?\n\"Answer: j**2 + 3*j + 4245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 - 7 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 3 + 23*u**3 - 25*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22770*b**2*j + 116*b**2 - b*j**2 - 715*b + j**2 + 7*j with respect to j.\nAnswer: -22770*b**2 - 2*b*j + 2*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5\/d)\/d)\/d*d\/(d**(2\/9)\/d))\/(d*d\/(d*(d\/(d**(-1\/16)*d*d))\/d)*d*(d*(d**(-2\/17)\/d*d)\/d)\/d) assuming d is positive.\nAnswer: d**(2345\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 12. Find the second derivative of -9*s + o*s - 5*s**5 + 3*s**5 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -33120033318?\nAnswer: 33120033325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:37 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -282.1 * -0.6\nAnswer: 169.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100001000001 + -1?\nAnswer: -1110100001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10.05811 times 2\nAnswer: -20.11622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4606378\/210 + (-8)\/60. What is the highest common divisor of m and 410?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*s**2 + (-3*s + s + s)*(-2*s + s + 4*s) - 4*s**2 + 6*s**2 - s**2 + 0*s**2 - 3*s**2 + s**2 - 28*s**2 - 2 + 2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -78, -5, 0, 2.7, -1, 3\/4, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4206313, 8412623, 12618933?\nAnswer: 16825243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 17\/(-2))*-26. Let s(p) = -96*p + 13. Let m be s(-3). Let q = m - g. What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4609196, 4609255, 4609316, 4609379, 4609444, 4609511?\n\"Answer: x**2 + 56*x + 4609139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-43 - -33) - -39 - -99.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 108.0764?\nAnswer: -108.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 12*a - 9. Let z(v) = 3*v**2 - 12*v - 11. Let d(g) = 5*n(g) - 4*z(g). What is d(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 - 4\/1. Let w be (-28)\/6 + 0 - -3. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99, 940, 1735, 2460, 3091, 3604?\n\"Answer: -4*u**3 + u**2 + 866*u - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217352051*q**5*u + q*u + 5569083*u - 2 wrt q?\nAnswer: -4347041020*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 824714 and 4?\nAnswer: 3298856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {q: 6, b: 4, l: 1, e: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*h + 1 - 51*h - 3 to m*h + b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69169 is divided by 9878?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-4 - (-12 - (-1 + -30)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - m - 33*m)*(-2*m + 2*m - m) in the form j*m**2 + z*m + o and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*d - 1621, 3*j - j - 4*d = 658. Let t = -108 + j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278459 + 13922349\/50. Let h = s - -10504\/825. What is the common denominator of h and -107\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1188 = 5*z, -3*z + 4*z + 3*u = 240. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:04 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (12 - 16) + 7 + 4 + -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/60 + y**4\/12 - y**3\/2 - y**2. Let z be d(-5). Suppose -s - z = -4*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 4 - 3 + 9. Let h(o) = 1. Calculate 5*h(w) - 2*z(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m + 5*f - 5 = 0, -5*f = 10. Solve m = 5*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13916867 to the nearest integer?\nAnswer: 3731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-2*sqrt(2448) + -3)**2 - (1 + sqrt(2448) + sqrt(2448) + 0 + sqrt(2448) + 1)**2).\nAnswer: -36702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23*3284.24\nAnswer: 75537.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95359139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/7 and (1\/(-4))\/(140\/(-1764))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 5, k: 1, z: 4, p: 2}. Give prob of sequence zq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000351708 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -1\/7, 2\/3.\nAnswer: -1\/7, 2\/3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (383*z - 148*z + 338*z)*(-2*z + 2 - 2)*(-4 + 0 + 2).\nAnswer: 2292*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from zqzzqzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2747 - 2*i + 4*i**2 + 2747. Let a(q) = 7*q**2 - 3*q. Give -6*a(j) + 10*v(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 209?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 50?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 46 = -k + 5*k, 26 = 2*k + 3*o. Suppose k*c = -4*q + 14*c + 20, -c - 10 = -2*q. Calculate the lowest common multiple of 11 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 23. Suppose -35 = -5*p + 5*z, 0 = -p + 5*z + q + 21. Suppose -p*x + 46 - 146 = -2*j, -3*j - 5*x + 158 = 0. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -841 + 874. Suppose -73 + 7 = -u*v. Calculate the greatest common divisor of 36 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (-6*-1*sqrt(156) - sqrt(156))))\/sqrt(12) - 2*(sqrt(1053) + sqrt(1053)*-1)**2.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 45846*o + 3*o**2 + 1901*o**3 - 45846*o - 2*o**2.\nAnswer: 1901*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13192 - -382632\/29. Are 3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5735 (base 12) to base 4\nAnswer: -2113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqaaqqqqaqqqqqq. What is prob of sequence qa?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4800))\/(3*(sqrt(4) + 4*sqrt(100))).\nAnswer: -40*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n + 111. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3707 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 3\/2 (b) 2\/11 (c) 4\/9 (d) -76409 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 648316588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*p + 10, 4*p - 2*m = -4*m + 20. Suppose 5*o + 31 = 3*d, p*o + 5 = o - 5*d. Let h = 0 + o. Sort h, -2\/3, 2\/7 in descending order.\nAnswer: 2\/7, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 - j**4\/6 + j**3\/3 - j**2\/2 + j. Let b = 4 + -3. What is the smallest common multiple of b and z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + v**2 + v. Let z be f(-1). Let s be 5*(33\/(-44))\/(15\/(-8)). Put z, s, 1 in decreasing order.\nAnswer: s, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11091703 - 4.\nAnswer: 11091699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -5 - ((-12351)\/414 - 1\/6). Suppose i - 30 = 2*w, -5*i - 3*w + 186 = -w. What is the greatest common divisor of f and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 10*n - 46. Let c be d(-19). Suppose -4*j + 6 = -2*j, -5*f + 5*j + c = 0. Which is bigger: 25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -42.23. Let x = y - -0.03. Sort x, 0, 1.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -220 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrnrnrrr. Give prob of sequence rrnr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u**6*(u*u**(-1))\/(u*u\/(u*u**3*u*u)))\/((u**(-1\/4))**42)**(6\/11) assuming u is positive.\nAnswer: u**(843\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 8*i**2. Let q be z(8). Let t = q + 2. Find the second derivative of 9*n - 369 + t*n**3 + 369 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 8*q**2 + 23*q - 1. Let i(c) = -395*c + 2380. Let w be i(6). Determine k(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l - 96*l = 92664. Suppose -27*u - l = 17*u. What is u rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -306*f**3 + 14*f**2 - 14*f - 32. Let l(a) = -103*a**3 + 5*a**2 - 5*a - 11. Determine -5*b(w) + 14*l(w).\nAnswer: 88*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174 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: Let a(v) = -2*v**2. Let y = 115 + -24. Let k(h) = -50 - 41 + 31*h + y. Determine k(a(p)).\nAnswer: -62*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 1730. What is f rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -13. Let t(a) = -2*a**3 + 3*a**2 + 8*a + 5. Let m be t(p). Let i be (-7)\/14*0\/m. Solve 4*f = i, -f = r - 0*f - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 3*q - 1665. Let g = -186 - q. Let s be (-1)\/3 - (-8)\/(-3). Sort -5, g, -2, s in ascending order.\nAnswer: -5, s, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 0.7. What is the nearest to g in 0.3, -0.2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -897, -989, -1101, -1239, -1409?\n\"Answer: -u**3 - 4*u**2 - 73*u - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 g when four letters picked without replacement from gaaggaazaazazaaaag.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 51*h**2 - 3668*h + 2. Let b(m) = 3*m. What is a(b(p))?\nAnswer: 459*p**2 - 11004*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*t. Suppose t = -r + 11*r - 30. Suppose r*u = -5*d - 47, 2*d - 3*u + 23 = -3*d. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:26 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/62 and 65\/195176?\nAnswer: 195176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**9\/168 - j**5\/15 + 15*j**2. Find the third derivative of i(v) wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s + 5 - 22*s + 16 to the form i + v*s and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 13?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43623 + -2?\nAnswer: 43621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 192 + -185. Solve 0 = 5*v - 4*h - c, v + 13 = -2*h - 2*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 18*p - 69. Let n be o(-6). Calculate the greatest common divisor of 18 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 1. Let z(j) = 161*j**3 - j**2 + j - 3. Let l(x) = -5*o(x) - z(x). Let d be l(-1). What is the highest common divisor of d and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*a**2 + 237*a**2 + 11*a - 25*a + 8*a + 6*a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7897.26527 + 10858.2522. Let f = w + -2961. What is f rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1 - (1 - (-8 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-84))\/(6212\/(-21742)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 99, 219, 385, 597, 855, 1159?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(210)\/(sqrt(7)*2))\/sqrt(6))**2.\nAnswer: 4*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569 - -2.74?\nAnswer: 4571.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 5. Let s(j) = -18*j**2 - j. Let g be s(-1). Suppose 3*z + 7 = -2*p, -p + 0*z - 5*z + 14 = 0. Let a = p - g. Give w(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/10 - 5*d**4\/6 + 2*d**3\/3 + 10*d**2 + 11*d. Does 22 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 1 - g + g**4 + (-g**3 + g**3 - g**3)*(2*g + 2*g - 3*g) - 170*g**4 + 88*g**4 + 33*g**4.\nAnswer: -49*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131637*g**4 - 2*g**3 + 236969*g**2 wrt g?\nAnswer: 3159288*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.9489 - 22.6?\nAnswer: -80.5489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81472*k**4 + 41*k**2 + 6*k + 34.\nAnswer: 1955328*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/(6\/20). Is 23 a factor of s*3*27\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4064.422ug to tonnes.\nAnswer: 0.000000004064422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015742 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a - 3. Let c(l) = -l. Let n(k) = 2*k. Let v(g) = 5*c(g) + n(g). Let i(b) = 298*b + 596. Let z be i(-2). Let h be v(z). What is r(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173131.\nAnswer: 7, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -652 - -1190. Let g = -538.2 + w. Sort 3, 3\/4, g, 2\/63 in ascending order.\nAnswer: g, 2\/63, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-65) + (-584)\/(-4745))*10\/(-2) + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667427 is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 207*n**2 + 62*n - 1385. Is d(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {l: 5, d: 8, g: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -433?\nAnswer: -140\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h**2*r**2 + 2*h*r**3 + 606*r**3 wrt h.\nAnswer: 20*h*r**2 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2871.0647 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -135*a**3 - 5*a**2 - 8*a + 5. Let p(b) = 90*b**3 + 3*b**2 + 5*b - 3. Let x(c) = 5*h(c) + 8*p(c). List the prime factors of x(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3*x**3 - 19. Let r(k) = -2*k. What is y(r(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-42) - (1 - 47\/(-14)). Is -6 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 966864 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*b = -453*b + 224*b - 148 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7*g + 210. Let z = 21 + g. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185*d + 483*d - 341 + 341)*(-4 + 4 + 4).\nAnswer: 2672*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -748 - -748.5. Let k = -94 - -86. Which is the second smallest value? (a) g (b) -3\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(4)*-1))\/(-1*sqrt(242)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 4*n - 16 = -13*k, 2*n = 3*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -10. Let n(h) = 4*h**2 - 147*h - 190. Let c be n(38). Solve 0 = -5*a - 10, 2*a = 3*o - c*a - v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by (-70)\/(-63)*12 + 2\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z + 4*z. Let t be (-3)\/z - (-29)\/5. Suppose 2*f - k = 1, -5*f + t = 3*k - 13. Solve 0*b + b = f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/3*(-8 - -20) - -2. What is the common denominator of 69\/8 and (534\/20)\/((-72)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (-10 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 1972*q**2 + 3932*q + 1964 = 0.\nAnswer: -491, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5. Suppose w = h - 0*h. Solve -3*j - 6 = -h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + -7 - -4 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd - 1?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxzz when four letters picked without replacement from zzzzzxzxzzzzzzzzzzzz?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65496, -2\/15, 8.7, -1 in ascending order.\nAnswer: -65496, -1, -2\/15, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 120*c - 405.\nAnswer: 5*(c - 27)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281.18 + -281.18015302. Round n to six dps.\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3795 and 5591645?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + (-2 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1395*r - 2*r**2 + 307*r + 2312*r + 698*r + 2468*r to the form q*r + p + s*r**2 and give q.\nAnswer: 4390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 144*y + 333. Does 29 divide k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.152 + 0.23.\nAnswer: 0.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 3*s - 4*s**2 + 0*s**2 + 0*s**2 - 5*s**2 + (-3 - 2*s + 3)*(0 + 0 - 3*s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/11)\/(k*(k\/(k*k**3)*k)\/k))\/(k**(2\/3)\/(k**(2\/11)*k)) assuming k is positive.\nAnswer: k**(65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 4952?\nAnswer: -5\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)\/(sqrt(9) + 6*sqrt(9)))\/(3*sqrt(6)\/sqrt(2))*-2)**2.\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s - 2*s)*(-5 - 6 + 7 + 2*s**4).\nAnswer: 6*s**5 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose -c*y - 2*y - u = 0, -u = -y. Suppose -2*r + 0*r = 5*d - 29, 4*r - d - 47 = y. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by 3.\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 170 = 4*k. Let a = k + -90. What is the third biggest value in -1\/2, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -18. Suppose 6 = -4*a - 3*m + m, -4*a - 9 = 3*m. Is a > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -365 - -368. Let p = -1 + 1. Let n be -1*(-1 - (p - 2)). What is the closest to 3 in -1\/5, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(4\/(-24)*2*3). Solve 157 = -o*m + 145 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 43758.27ml?\nAnswer: 43.75827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 172.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = n + 4*z, -3*n - 3*z = 21 - 6. What is the second derivative of 16*f**2 + n*f**2 - 2*f + 5*f**2 wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/25)\/((-3)\/15))\/(120\/300).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5754, -5 in ascending order.\nAnswer: -5, -4, 5754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 177744*j**2 + 1974913536*j - 7896810496.\nAnswer: 4*(j - 22216)**2*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + g**2 + 72811531*g - 36405751*g - 36405780*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/(-297)*-6)\/(-2 + 0)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3836633.3 rounded to the nearest 10000?\nAnswer: -3840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6*j - 14. Let s be z(8). Differentiate -6*y**2 + 13 + y**2 - 7*y**s + 10*y**2 with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1164*b - 3500. Let o be n(3). Put o, -44, -2, 2, 5 in descending order.\nAnswer: 5, 2, -2, o, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.0163.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87847696?\nAnswer: 2, 59, 93059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3284, 6568, 9852?\nAnswer: 13136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 17. Let n be d(-15). Let j = -5056 + 9090. Is n\/(-3) + j\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-6))\/(12*(-3)\/24))\/(8\/472)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, y: 2, z: 7, h: 4}. Give prob of sequence yz.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1021224320 (base 5) to base 16\nAnswer: -208c5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287807*w - 149366*w + 6 - 4.\nAnswer: -437173*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*m - 2*k - 9, 0 = 2*m + 5*k + 16. Solve 5 = -u - m*b, -3*b = -5*u - 2 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let b(c) = -c**2 + 2*c + 1. Let v be b(2). Let z be 3*3\/18*6. Let r = z - v. Solve -r = -5*o + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -34*l - 336. What is k(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -143?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -35*j**3 + 5*j**2 + 12*j + 4. Let v(d) = -d**3 - d**2 - 2*d - 1. Determine 6*v(z) + w(z).\nAnswer: -41*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*n - 8, -5*y + 0*n + 14 = -2*n. Suppose -2*k - y = 3*b - 2*b, 3*b = -2*k - 14. Let o be 0 - (-7)\/(0 - 1). Which is greater: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**29*f*f**(12\/11))\/(f**(-15)\/f**(-21)))**25 assuming f is positive.\nAnswer: f**(7175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 32. Suppose 5*r - 32 = v. Suppose 2*p + l - 4 = p, -3*p - 2*l + 13 = 0. What is the remainder when r is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-28)*(-42)\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*(-1 + 0 + 4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-3*-6 - sqrt(70))\/(sqrt(90)\/(sqrt(54)\/sqrt(6))).\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 39273\/530)\/(2*(2 - 1))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37391617 is divided by 380.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27539 + 57574. List the prime factors of d.\nAnswer: 5, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545007 is divided by 1465?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 24 = 4*a + z, -4*z = -3*a - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 24354, -0.4, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9591510 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 1771*o + 1046*o + 817*o - 3*o**2.\nAnswer: -o**2 + 3634*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19037 - -18937. Put -4, b, -11 in ascending order.\nAnswer: b, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 98216.\nAnswer: -1\/98216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0 - 5. Let p(d) = -d + 3. Let y(i) = -1 + 4 - 4. Give f*p(n) + y(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -915430, -1830893, -2746354, -3661813?\n\"Answer: z**2 - 915466*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -135, -4 in descending order.\nAnswer: 3, -4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29629 + 740588\/25. Which is smaller: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1920)*2*-6)\/(sqrt(640)*-5*6).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 35*h = -17*h + 52. Put -5, -68, 0, h in decreasing order.\nAnswer: h, 0, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from paaappavpapaapapaa.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1*(-3)\/9*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2434 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 19*t**2 + 20*t - 28. Let c be m(18). Suppose 5*z = c + 12. Solve i = 0, 15 = -6*n + n - z*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 25c382?\nAnswer: 25c382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 2*t + t, 4*l + 6 = -3*t. What is the remainder when 99 is divided by 360\/7 - l\/(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3163 - 313?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 20*s = 8*s + 256 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1602 in -5, 0.2, -9\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -738205.\nAnswer: -3\/738205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.758 - 5.80503. What is j rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(((-1)\/(-2))\/(-1)). Let b be a + (-6 - (-1)\/(5 - 6)). Is 28 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-833)*1526\/(-654)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/11, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843710354 is divided by 569.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4544662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 617825, 1235645, 1853463, 2471279, 3089093, 3706905?\nAnswer: 4324715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - -7)*(-8)\/10. Let y = f + 15. Which is the nearest to 1? (a) -2 (b) y (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 2*g - 2*g - 3*g to the form u*g + l and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209234748*m + 33*m**3 - 209234748*m + 11*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.6, -0.47?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + 274?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (830\/10956*24\/40)\/(((-3)\/(-3))\/8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/350)\/(1425\/(-631750)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 150478535*p - 226122905 wrt p?\nAnswer: 150478535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.41531 to two dps.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27411962869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:44 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 55. Let t be s(13). Let u(k) = 6*k**2 - 3*k**2 - 1 - 4*k**2. Let h(m) = -2*m**2 + m - 2. Let l(c) = t*u(c) + 2*h(c). Factor l(o).\nAnswer: -(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -934, -950, -966?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -63117, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/(18096\/87))\/((2\/3)\/(-1)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.039129 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 19*l**2 - 9*l + 23. Let s be r(20). Suppose 0 = -5*h + 3*b + 1241, s = h - 0*h + 2*b. List the prime factors of h.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 + 11*f + 11. Let q(o) = 5*o**2 + 6*o + 6. Let j(l) = -11*q(l) + 6*v(l). Let d(p) = -4*p - 5. Give j(d(k)).\nAnswer: -16*k**2 - 40*k - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2977\/7, 0.2, 0.22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -57*u - 806. Give b(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36132503 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6846*p**2 + 1700*p wrt p.\nAnswer: 13692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -85*a. Let d(n) = 265*n. What is x(d(h))?\nAnswer: -22525*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 - -1)\/((-9)\/(-27603)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*t - 2063 = 31, -3*t = 3*n - 3183. Calculate the highest common divisor of 434 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*p + 678 - 633. Solve 0 = -5*b - 3*s + 20, 5*b - p*s = 9*b - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*t = 46212 - 11572 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:47 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 8*x**2 - 16.\nAnswer: -(x - 2)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.432 or -124?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -344191\/4 = -86049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72182 and 1870?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 3. Let z = 9.034 - a. What is z rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 325 = 200*b - 844 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/33)\/(((-7)\/(-329))\/1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 3*h - 23*h + 14*h + 238 as n + w*h and give n.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 31. Let c(s) = 6*s**2 + 30*s - 9. Let m(g) = -g**2 - 6*g + 2. Let x(n) = t*c(n) - 11*m(n). Give x(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:05 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)\/(-2)*2. Let u = 15325\/4 + -3831. Factor -u + 1\/4*k**l + 0*k.\nAnswer: (k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4125, -8613, -13103, -17595?\n\"Answer: -j**2 - 4485*j + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 11.9944. Round c to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*c**2 + 25222671*c - 123079351.\nAnswer: -24*c + 25222671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1275*n**3*q - 194*n**3 with respect to q.\nAnswer: -1275*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12925 is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a - 2*a + 5 - 4 + 0*a**2. Let k(t) = 2*t**2 + 4*t + 20 - 21 - 3*t**2. Let g(z) = -7*k(z) - 6*r(z). Factor g(p).\nAnswer: (p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12242 divided by -12242?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*z + 53848 = -691*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1434*y**3 - 2*y + 14565*y**2 - 14565*y**2 + 3 to g*y**2 + w + p*y**3 + l*y and give p.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6 - 16. Let h = z - -11. Suppose h = l + 3*q - 6, 0*q + 6 = 2*q. Let s(j) = 2*j**2 + j. Calculate s(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6\/5))**(-2\/65))**2 assuming l is positive.\nAnswer: l**(24\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 10. Suppose -h*b - 10 = -12*b. Solve -g = -3 + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m = 68*m + 84 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -11 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92350975 to the nearest integer?\nAnswer: 9610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -f + 38 + 39, -89 = -k + 2*f. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45584225 and 1082475?\nAnswer: 410258025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84c5 (base 14) to base 16.\nAnswer: 597d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(847).\nAnswer: 3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {x: 2, n: 3, h: 10, u: 1}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 3)\/(56\/84). Suppose 0 = -b + 2*a + 52, -j*b + 3*a + 233 = b. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**3 + 9*w**2 - 6*w - 11. Let u be j(8). Let a be -4*(-2)\/(-4) - -9881. Let t = a + u. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211047 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 44297, -63 in decreasing order.\nAnswer: 44297, 16, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.2. Let l = -7\/6 + 41\/30. Put 6\/5, l, n in increasing order.\nAnswer: n, l, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let q = -20 + 22. Suppose q*z + z = 6. Let o(x) = -6*x - x - x - z*x. Determine r(o(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46872*k + 46895*k - 184 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 811\/153329?\nAnswer: 811\/153329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*v, 3*v - v - 2 = s. Let o = v + -1. Let l(h) = -2*h**3. Calculate l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 13\/((-26)\/(-12)). Sort d, -0.5, -2\/15 in descending order.\nAnswer: d, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145405984 to the nearest integer?\nAnswer: 12058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -369*y - 1947. Let g(o) = 23*o + 118. Let n(q) = 2*c(q) + 33*g(q). Let l(w) = -w**2 + 178. What is l(n(x))?\nAnswer: -441*x**2 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*a - 0*a + 69, 0 = -a + 4. Let s be j\/4 + 14\/(-56). Suppose 0 = 3*k - 8 - 22. What is the highest common factor of k and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*u + 3357572 = 3352062 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and -21\/124510.\nAnswer: 249020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 1\/3*n**3 - 27\/2*n**2 + 0*n - 129. Let d(m) = -m**2. What is d(k(w))?\nAnswer: -w**4 + 54*w**3 - 729*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 428 = 2*s. Let h = -7677 + 7684. What is the highest common factor of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*n**2 - 5*n + 6*n - 63*n**2.\nAnswer: -177*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/3 - 37*k**4\/3 + 175*k**3\/3 + 3425*k**2\/3 - 176*k\/3 - 3388\/3 = 0. Calculate k.\nAnswer: -7, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 368.4322 to one dp.\nAnswer: 368.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28324492?\nAnswer: 2, 7, 1011589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 7*c + 3. Let u be o(-7). Suppose -4*b + u*g = -43, 4*g + 15 = b - 12. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7499292000 to the nearest 1000000.\nAnswer: 7499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 161, 361, 639, 995?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*o + 3*o**2 + 16*o + 19*o to n + v*o + j*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a - 1. Let p be t(-1). Let j be 70\/p - (-2)\/(-9). Calculate the common denominator of -81\/16 and j + (-9)\/(-12) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/4 (c) -1.5 (d) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3596 + 3855. What are the prime factors of g?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 458, 698, 944?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69524?\nAnswer: 2, 7, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 774, 130, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 72*f = -437, -5*i + 62 = 4*f + 91 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + y = -259, 0*l = -l + 2*y + 78. Let d(f) = -l*f**3 - 5*f + 7 - 6*f**2 + f + 87*f**3. Let b be d(-5). Solve 0*v = v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -2)*-6 + sqrt(425) + -2 + 2 + 3 + ((sqrt(1377) - (-1 + sqrt(1377))) + 4 + -3)**2.\nAnswer: -25*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and 0.5.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-32 - (-29 - -4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 8) to base 13\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 131. Let q = -131\/9 + 3049\/45. Let z = q - u. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32554 is divided by 1017?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*g + 372, 2*g + 3*g - 372 = -4*z. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2123a (base 13) to base 11\nAnswer: -40949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:19 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let r be (-3)\/(-1)*1\/3. Solve 0 = -s*q - h + r, 4*q - 4*h + 24 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 12) to base 6\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.608591 - -0.8110942\nAnswer: 1.4196852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:18 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -3*a**2\/2 - 7*a + 4. Let c be h(-9). Suppose 0 = 5*d - 5*n - c, d - 9 = -3*d - 3*n. Put 2, -2, d in decreasing order.\nAnswer: d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2110101?\nAnswer: 2110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82477697?\nAnswer: 2531, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201606583*k**2 - 403213254*k**2 + 201606673*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let l(d) be the first derivative of -d**2\/2 - 42. Calculate l(w(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44410906 to the nearest integer?\nAnswer: 6664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82733.01km to nanometers.\nAnswer: 82733010000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8910*p**3 - 1825*p**3 + 10723*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15809856.\nAnswer: 2, 3, 67, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 25*d - 23*d + 273 = 0 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 + 5. Let l be m(0). Suppose -l*n + 822 = 47. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 177*v - 5*v**2 - 194*v to m*v + d*v**2 + z and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*p + 21, -5*x = -0*x - 15. Let v be (-16)\/(-10) + (-8)\/(-20). Let i(l) = p*l**v - 188*l + 188*l. Let n(o) = 4*o**2. Give n(i(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -879, 235, -3 in decreasing order.\nAnswer: 235, -3, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by 6?\nAnswer: 107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 527565659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j + 8. Let o be q(3). Let c = o + 4. Suppose c = -4*m - 12, -6*d + 302 = -2*d - 2*m. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155452732 is divided by 543541.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7450542599.\nAnswer: 19, 392133821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 12. Which is the smallest value? (a) -1\/5 (b) -2\/3 (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) + 1 + -1. Let w = -122\/3 + 41. Let j = 205\/4 - 51. Which is the nearest to -2? (a) j (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 - 2. Suppose 0 = i*k - k - 4. Suppose 12 = -k*v - 5*m, -v - v = -2*m - 12. What is the least common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 16*s - 2. Suppose -5*y + 20 = x - 3*x, -12 = -3*y. Suppose x = -4*n + 6*n + 4, 14 = -5*j + 3*n. Let f be r(j). Solve -f + 2 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 11*n + 8. Let y(p) be the second derivative of p**4 - 24*p**3 + 105*p**2\/2 - 13*p. Let t(d) = -27*g(d) + 2*y(d). Factor t(c).\nAnswer: -3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 9*n**2 - 38*n + 300. What is l(11)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, e: 1, x: 2}. What is prob of sequence xex?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 116026540*f\/3 - 3365539496092900\/3.\nAnswer: -(f + 58013270)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5886476*d**2*w**3 - 6*d**2*w**2 + 284920*w**2 wrt w.\nAnswer: -35318856*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95180*u**3 + 1674109*u**2 wrt u.\nAnswer: 571080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(304)*2)*-3 + ((sqrt(304)*1*-2 - sqrt(304)) + -4)**2 + -4.\nAnswer: 72*sqrt(19) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4*n. Let d(l) = 3*l. Let f(v) = 16*v. Let s(p) = 5*d(p) - f(p). Give s(t(w)).\nAnswer: w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -111?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713405877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.488, 5\/3, -14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsssssmmsssmmsmmsm. What is prob of picking 1 m and 2 s?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-115*5\/(-400)*320\/(-10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.7. Let i = v - -0.1. Let g(r) = -10*r**2 - 30*r - 1. Let s be g(-3). Which is the biggest value? (a) s (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 105070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(3840)*6)\/((sqrt(144)*-2)\/sqrt(12)*-6) + -1)**2.\nAnswer: 16*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, -0.4, 0.86, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, d: 10, x: 2, v: 3}. Give prob of picking 1 r and 3 v.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -90. Suppose -2*y - m*y = -2*y. Solve -4*n - 12 - 8 = y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:50 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -774, -1473, -2172?\n\"Answer: -699*m - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + u - 19 + 33 = 0, 2*u - 27 = -5*f. Solve 3*i = -f*b + i + 21, i = 4*b - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/33, 2\/13, 73 in descending order.\nAnswer: 73, 2\/13, 4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*j - 26 = 0, 66 = 4*k - 4*j + 34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*c - 2568*c + 271*c.\nAnswer: -2879*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t + 731. Let h be n(24). What is the fourth smallest value in 13, -2, h, 2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/6)*v)**(13\/4))**(-17\/5))**(-23) assuming v is positive.\nAnswer: v**(5083\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 234713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3))**27*z**1\/z**(-5\/6)*(z\/(z\/(z\/(z\/(z**(3\/2)\/z))*z)))\/(z**3\/z*z)*(z**(-2\/9)*z)**24 assuming z is positive.\nAnswer: z**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -129*g + 265. Let z(m) = -135*m + 265. Let l(q) = -5*o(q) + 4*z(q). What is the first derivative of l(u) wrt u?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -354 + 314 + (-3 - -27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*p + 18. Suppose 6*m = 2*m + 8. Suppose m*r + 7 = 13. Solve f - 1 = -r*x + 7, -5*f + p = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.05. Let r = b - 0.15. Let k be 1 + -2 + (1 - -3). Put k, r, -1\/3 in decreasing order.\nAnswer: k, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*v - 5, 0 = -v + 4*f + 9 - 32. Let b(n) = -7*n + 7. Let x(y) = 4*y - 3. Determine v*b(d) - 7*x(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -14*x**3 + 176*x**2 - 250*x + 88 = 0.\nAnswer: 4\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -12750000 to the nearest one hundred thousand.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449.505 weeks in hours?\nAnswer: 747516.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/8 + 70*8. Let a = 811 - m. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766164.\nAnswer: 2, 3, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -21*i**5\/2 - 41385*i**4\/2 + 213792*i**3 - 309756*i**2 - 1426104*i + 427896 = 0.\nAnswer: -1981, -2, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 158 + 155 = -2*d, 2*d = 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.1 and 38.\nAnswer: 687.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*i)*(2787 - 1402 - 1042*i - 1385) as q*i**2 + t*i + h and give q.\nAnswer: 3126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 21*t**2 + 18. What is k(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 25*k + 19. Calculate q(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1444*a + 8668. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 187589, 749694, 1686315, 2997452, 4683105, 6743274?\n\"Answer: 187258*k**2 + 331*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:20 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l + 41 + 28\/33*l**3 + 8\/55*l**5 - 23\/22*l**4 + 5\/11*l**2. Suppose g(k) = 0. Calculate k.\nAnswer: -1\/4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -10. What is the units digit of 1586\/f - (-1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2337968 by -12436.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - 3*l**5 + l**4 + (3*l**4 + 0*l**4 - 4*l**4)*(0*l + 39*l - 4*l))*(-2 - 3 + 7).\nAnswer: -76*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18970\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -522 and -0.01?\nAnswer: 5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 3:41 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 4702937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602146 is divided by 155?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2251734*c**3 + 3419181*c wrt c.\nAnswer: -13510404*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 211.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*s = 1472*s - 616 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7116 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -1 (c) 28.434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 4, 5, 112 in ascending order.\nAnswer: 4, 5, 44, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-56)\/910)\/(2\/(-5)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 393692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -365263, -365268, -365275, -365284?\n\"Answer: -i**2 - 2*i - 365260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 2:57 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1954 and 41017391.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, -4, -6 in descending order.\nAnswer: 52, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 9\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86435 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-15*(-6)\/12*7\/(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, 30418, -4, 0.7 in decreasing order.\nAnswer: 30418, 0.7, 0.3, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 5}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(312) + 2*sqrt(312))*3)\/(sqrt(72) + 2*sqrt(72)))\/(-3*(sqrt(108)*2 - sqrt(108)) - (sqrt(108) - ((1*sqrt(108)*6 - sqrt(108)) + sqrt(108)))).\nAnswer: sqrt(13)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18*r + 51. Let g be x(3). Let b = -5 - -9. Put 2, b, g in increasing order.\nAnswer: g, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -42 and -3.14.\nAnswer: -45.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*r - 386754 = -50604. Calculate the greatest common divisor of r and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/145 and 97\/232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*n + 15 = 155, 0 = 4*n. Suppose -136 = -4*v + y + 3*y, -4*y = -16. Suppose s + v = 11*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*5\/(-250)*1. Which is the fourth biggest value? (a) 5 (b) h (c) 0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 5*u - 367884 = 0. List the prime factors of 6\/10 + u\/(-110).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 9. Let i(n) = 27*n**2 - 1. Let f be i(1). Suppose 5*c = -0*c - 3*o + f, 4*o + 19 = c. What is the smallest common multiple of p(-13) and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 2524*w**2 + 78510*w - 258300.\nAnswer: 2*(w - 3)*(w + 35)*(w + 1230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259314 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p - p)*(31*p + 36*p + 30*p) - 3*p + 4*p + 2*p**2 - 5*p + 3*p**2 - 3*p + 3*p to the form l*p**2 + w*p + h and give l.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 20*p - 2*p)*(-72*p - 1 + 3 + 35*p).\nAnswer: 703*p**2 - 38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 > 499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -0.0875257069.\nAnswer: 5.9124742931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(1\/(-2)). Let z = 0.0274 + -0.4274. Which is the closest to 1? (a) t (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:17 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*t - 60*t - 5408. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -299528, -599155, -898782, -1198409, -1498036?\n\"Answer: -299627*n + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18783 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190564 + -414803. Let v = o + 98296. Let m = 285943 + v. Round m to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6506*j + 6512*j - 4*h = -130, -j = 2*h + 11 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -72*a**2 - 215*a - 32. Give w(-4).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 4) to base 7.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22933 is divided by 22924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1055980 and 90?\nAnswer: 9503820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-8))\/((-38)\/(3268\/(-3)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o + 117. Let v be m(0). Let u = v + -66. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(14\/(-6)). Let u = -8894 + 8893.9. Which is the nearest to 2? (a) s (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2313 + -7111\/198918. Let c = r - 123\/172. What is the closest to -2\/7 in 5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - -13 - 16) + (-4 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/14)\/(1\/(-1)*-1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/4 + 97*b**4 + 25907*b**3\/4 + 6513*b**2\/2 - 3391830*b = 0.\nAnswer: -39, 0, 20, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 294*m**2 + 570*m + 1140. Determine j(-2).\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -18, -4, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 5*v - 65. Let d be a(7). Let m be d\/(-6) + (-203)\/(-21) + -10. Solve m = -45*c + 44*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1806\/(-344))\/((-1)\/((-100)\/15))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2*f**7\/21 + 103*f**6\/30 - 710*f**3\/3 + 26*f + 5. What is the second derivative of k(r) wrt r?\nAnswer: 80*r**3 + 1236*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3359, 3367, 3365, 3347, 3307, 3239, 3137, 2995?\n\"Answer: -q**3 + q**2 + 12*q + 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20090448)\/(-54))\/(-38)*3\/(-2)?\nAnswer: 2, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153019281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (2 - (3 - -9 - 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(0 - -2). Suppose -2*g + 5*f + 19 = x, -3*g - 4*f - f - 9 = 0. Solve 0*y = g*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*i - 11, 3*i + 138*u - 120*u = -2*i - 198 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 367\/1101*(1\/2)\/((-1)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 9*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 20. Suppose 9*l = 4*l - z + 15, -4*l + 5*z = -12. Suppose -l*w = 5*m + 2*w - 25, v = 5*w + 10. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -43, -194, -501, -1018, -1799, -2898, -4369?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*s + 4*s + 0)*(-3 - s + 3).\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 31*q**5\/60 + 73*q**2. Let h(v) = 3*v. Give h(y(t)).\nAnswer: 93*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4158208 divided by -2368\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 349116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -44954?\nAnswer: 8990.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l - 2*w, w + 0 = -4*l + 6. Let s = 5 - l. Suppose -s*n + 2*n + h + 3 = 0, 5*h = 15. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 1, w: 1, g: 6, f: 1}. Give prob of sequence wg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -331, 11, -1?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 97074136.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 356*p + 2730 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 + 273*f + 14. Let o be t(-59). Calculate the greatest common factor of 205 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/(-15))\/(-3*(-1)\/15). Let c be 46\/b + (-6 - (-212)\/36). Solve 0 = -k - 3*z + 16, -4*z - z = -c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 10*c**4 - 30*c**3 + 20*c**2 + 65*c + 30.\nAnswer: 5*(c - 3)*(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -568*o - 2171. Give n(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271661, -269668, -267675, -265682?\nAnswer: -263689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 921744588614 and 3.\nAnswer: 921744588617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-112)\/72 - -2)*9. Put w, -3, -2 in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**10)\/u**7*(u*u*u\/(u\/(u*u**(2\/7))*u*u*u))**38 assuming u is positive.\nAnswer: u**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 742492.7 milliseconds?\nAnswer: 742.4927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8*m + 18. Suppose 0*h - 2 = -2*h. Solve 4*x - m*x = -h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.037784 + -0.137784. Let h = -0.3 - -0.4. Let y = h - -0.3. Which is the biggest value? (a) t (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1985694 or -1985653?\nAnswer: -1985694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, 17, 2, 4 in increasing order.\nAnswer: -4, -1, 1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/19162 and 61\/8710.\nAnswer: 95810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/4 + 3*n**3 + 4*n**2 - 5*n - 13. Calculate g(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-39)*(-14718534)\/(-32). Let t = -23587 - j. Calculate the common denominator of t and ((-3)\/(203 + -210 + (8 - -1)))\/(28\/4).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 141 and 2.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5318290?\nAnswer: 2, 5, 19, 23, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/21280 - -1277\/4256. Let o = 0.6 - 0.1. What is the biggest value in d, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 0 + 2 + 1 + 15013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(500) + 1)**2.\nAnswer: -320*sqrt(5) + 128001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 12*v - 9. Let z(n) = -n**2. Let g(h) = x(h) - 4*z(h). Suppose -3*p + 29 = -4. Let s be g(p). Solve 3*u - 2 = s*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 169, 275, 435, 655?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -8 + 2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 5*a + 12. Let f be b(-7). Is (f\/(-3))\/(58\/47589) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 3*5\/8. Suppose -4536*f = -4519*f + 187. What is the biggest value in -0.5, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12482 and 316.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 209*c - 126. Let f(p) = -209*p + 174. What is 4*b(l) + 3*f(l)?\nAnswer: 209*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 5*m - 4. Let l be j(-6). Suppose 2*c - 4 = c + 2*z, 3*c - 5*z = 12. Let a(d) = 3 - c*d + 5 - 6. Calculate a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*f + 2*f**3 - 178*f + 253*f.\nAnswer: 2*f**3 - 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*h + 1068*h + 1058*h - 4241*h + 1066*h.\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -416899 bigger than -416898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/20 + b**4\/4 - b**3\/3 + b**2\/2 - 1545*b. Determine y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 3 - (-32)\/(-10). Let d = -821 - -4102\/5. Put o, -2\/3, 0.1, d in ascending order.\nAnswer: -2\/3, d, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0638233 and -25.\nAnswer: -25.0638233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65.593 - 1.107. Let o = q - -4.7. Let m = -61.9999933 - o. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 + 4*b**2 - 27*b - 15. Let p(r) = 2*r**3 + r**2 + 9*r + 1. Let s(j) = 4*p(j) + t(j). Give s(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 45 - -2) + (-100 + 67 - -26).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -2*j. Let t(p) = -5*p + j - 6 - 5. What are the prime factors of t(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose 45 = c - n + 3*n, c - 60 = -5*n. Solve -6*o - o + c = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 9*x + 93. Suppose 3*j + x = 5*q - 45, -4*q = 2*j + 58. Let d be ((-3)\/(-2))\/(4*j\/2736). Which is smaller: -39 or d?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 12*f + 5*l + 20, 4*l = -5*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 543\/8. Calculate the common denominator of q and 13\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 251471 and 25832930.\nAnswer: 284162230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 + -114. Suppose y*s = 3*k + 11*s - 2, 5*s - 16 = 2*k. Solve 3*q - k - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3955, -16215, -36673, -65335, -102207, -147295, -200605?\nAnswer: -262143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 8*n + 50. Let g be w(4). Let o be (5 + 25)*g\/12. Solve -2*m = -8, -12 = u - o*u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 37 - (4 + 23 + -15 + -6) - 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*v = 1247*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 1, b: 2, i: 7, t: 2, w: 1, s: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.164865kg to grams.\nAnswer: 7164.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 4. Let w = 79 - 83. What is k(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * 645\nAnswer: 25155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14554\/1915*(-5)\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.509 + 4.\nAnswer: -59.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n)**(-2\/31)\/(n**1)**(-8\/13) assuming n is positive.\nAnswer: n**(170\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036372 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7124*a - 7727*a + 571*a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*k = -0*g + 2*g - 34, 16549*k - 2*g + 29 = 16552*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34332*q*s**2 - 52*s**2 + s - 7 with respect to q.\nAnswer: 34332*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(88)\/sqrt(44))\/((sqrt(640)\/sqrt(5))\/sqrt(200)))**2.\nAnswer: 2025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*c - 70*c = -298592. What is the greatest common divisor of c and 744?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 greater than -1666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let t(k) be the second derivative of -k**5\/20 - k**4\/4 + k**3\/3 - 8*k. Determine t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 2*d - 6*d. Let w = d - 45. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y**2 + 1 - 2)*((-5 + 2 + 1)*(0 + 1 - 3) - 2 - 7 - 1).\nAnswer: 12*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 9:58 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 14 = -4. Suppose 5*i - 202 + 43 = -3*a, z*a + 138 = 4*i. Suppose -5*q + 4*l + 71 = -28, 0 = 2*q + 5*l - i. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 2*k + 1. Let l be n(2). Let w = 1 + l. Solve 0 = 3*u + w - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*k + 76 + 316, 4*g = 2*k - 196. What is the smallest common multiple of k and 35?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 6 = -4*u, -529*u = -531*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -2*d - 2*h, 4*h = 5*d + 5. Let v be (1\/d)\/((-2)\/62). Let o = v - 15. Calculate the lowest common multiple of o and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -6*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2761963622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*f - 15, -4*f - 10 + 14 = 4*s. Solve n - s*n + u = -3, -18 = 3*n + 6*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.52658 + 58.217502\nAnswer: 58.744082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16475 and 136413?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2755 = -349. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2*(-9)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634104?\nAnswer: 2, 11, 37, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-45)*d\/((d*d**1)\/d)*(d*d*d**(-5)*d)\/d*d**(-4\/5)\/(d*(d*d\/d**(3\/8))\/d*d**4) assuming d is positive.\nAnswer: d**(-2177\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 37 (b) 2\/11 (c) -3 (d) -1\/198 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5112 - 1.5. What is h rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -10 - 5 - -10 - 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o**2 - 4223 + 2112 + 2111 - 81*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 - 61*x**4\/12 - 2941*x**3\/6 - 27455*x**2\/2 + 6169*x. Find o such that g(o) = 0.\nAnswer: -17, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -7. Let o = 8 - v. Let t = -137 + 137. What is the closest to t in o, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 368205, 2945450, 9940817, 23563368, 46022165, 79526270?\n\"Answer: 368177*o**3 - o**2 + 9*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24*x**2. Let z(a) be the first derivative of -2*a**3\/3 + 40*a + 47. Let f(l) be the first derivative of z(l). Calculate t(f(p)).\nAnswer: -384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 2 + -81 + -71 + 107?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*t**2 - 8459 + 8459 - 3*t**2 + 2*t**2 - t**2 + (7 - 7 - 4*t)*(2 - 2 - t).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 - 13514*k**2 + 1979444*k - 67798080 = 0.\nAnswer: 54, 95, 6608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 12324*x - 233434.\nAnswer: -2*(x - 6143)*(x - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 265 + 45 = 0. Let j = -26 - -38. What is the remainder when k is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 97*o + 3151. What is the tens digit of p(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7014665376 + 4*m**2 + 196*m - 196*m + 7014665376.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4652 = 6*t - 4*g, -3*g + 1151 = t. Is 116 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -2\/5 (c) -0.7 (d) 1\/22395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9254500246 plus -155?\nAnswer: 9254500091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - p - 131 = 426, -4*p = 2*l + 548. Let h = l - -283. Solve 0*g = 2*g + h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 244\nAnswer: 11\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -65*f**4\/12 - 20*f**3 + 10*f**2 + 12*f. Factor i(p).\nAnswer: -5*(p + 2)*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-3)\/(-78))\/(-3 + 1)). Let u = o - -54. Solve 0 = -u*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a257a - -2?\nAnswer: -9a2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 0. Find the common denominator of 31\/14 + 1 + x and 93\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) + (-34)\/6. Let c(b) = -19*b + 6. Let o be c(g). Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900302003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2885?\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 16*m**2 + 2. Let y be x(-16). Suppose 0 = -5*o - y*g + 11, 0*g = -o + 3*g + 9. Calculate the remainder when 22 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718036 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06959319 rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1531 (base 8) to base 4\nAnswer: 31121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*i = -1488, 2*s = 5*i + 296 + 710. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 34641?\nAnswer: 34643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 11, -0.1, 30918, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*q + 220*q = 36. Suppose -4*i - 30 = -3*k - i, 0 = -q*k - 3*i + 61. Calculate the remainder when 127 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 6 + 52*g.\nAnswer: 52*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 8 = 4*k, k + 2 = -2*q - 0*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 4, x: 4, b: 1, u: 1, a: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 - k**2 - 2*k**2)*(25 - 50 + 27)*(k - k + 2*k) as m*k**2 + l*k**3 + t + y*k and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 105 = z - 73, 0 = -3*u - 6. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 9*g**2 - 172*g + 231. Determine z(19).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r - 104. Let j be y(12). Let o be 4\/(-6)*9\/(-2). Suppose 0 = 2*q - o - 1. Solve 5*k - 5 = -b + 23, -q*b - 14 = -j*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3912*o - 3906. Determine z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:59 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 13240 = -4*j, -u = 5*j + 4*u - 16570. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {y: 3, v: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/5 - 4\/15. What is the smallest value in -3, 2, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/220*35*3*(-6)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/10 - 351*g\/5 + 123201\/10 = 0.\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = -9*t. Let b(h) = -h**2 + 1. Let l(f) = f. Let u be l(1). Let i(p) = -p**2 - p. Let r(a) = t*i(a) + u*b(a). Determine n, given that r(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 0. Let v be (-5 + 3)*(-14)\/b. Let i(o) = -3*o - 2. Is i(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 4*u - 6 = 0, -4*t + 12 = 4*u. Let x be (-3)\/(12\/(-10))*t. Let c = -0.02 - -0.12. What is the nearest to c in -2, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/2)\/((14 + -13)*3\/(-2718)) is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 27\/(-6)*28\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6650 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 17990922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 529.2834 tonnes?\nAnswer: 529283400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 10*x. Let a(n) = -5*n**2 + 10*n + 1. Let j(m) = 5*a(m) - 6*f(m). Solve j(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12675269086085 and 4?\nAnswer: 12675269086089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 15 - 59. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40723410 divided by -104419\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434716356*k**2 - 11796544*k - 15?\nAnswer: -869432712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-24992387)\/756 - 7). Let t = a - -33066. Find the common denominator of t and 41\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:53 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 - 1. Let o(p) be the second derivative of -3*p + 3\/2*p**2 - 1\/5*p**5 - p**3 + 1\/4*p**4 - 11. Give 3*d(b) + o(b).\nAnswer: -b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170b - -a91?\nAnswer: 249c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24532b (base 14) to base 15\nAnswer: 198759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*c**2*h*n**2 - 3294*c**2*h*n + 2*c*h**2*n - 106*h**2*n**2 wrt n.\nAnswer: -56*c**2*h - 212*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 144?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 319*m**3\/6 + 3809*m**2 + 1229*m. Differentiate n(p) wrt p.\nAnswer: 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -14\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109\/(-819) - (13\/27*12 + -6)\/2.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*q - 7. Suppose 0*h - 4*y = 4*h - 92, q*h - 100 = -2*y. Calculate the highest common factor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 77358163 from -0.06.\nAnswer: -77358163.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-2)\/((-10)\/5). Suppose -q + n*q = 0. Solve -3*t + q = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4 + 6*d - 3*d - 2. Let w(g) be the second derivative of 3*g**2 - 7 + g**3 + 874*g - g**2 - 881*g. Calculate 7*a(r) - 4*w(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*s + 2 - 6 = 0, -5*s - 38 = -2*g. Let m = -163 - -184. Calculate the highest common factor of m and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497 is divided by 79?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30641321522 - 3?\nAnswer: 30641321516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/5 + 12*s**2 + 371727*s\/5 - 1115694\/5 = 0. Calculate s.\nAnswer: -582, 3, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1691312 - 3?\nAnswer: -1691315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - q - 12 + 7 - 1 + 6.\nAnswer: -14*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118633702*y**3 + 17504734*y**2 wrt y.\nAnswer: 711802212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48380000 rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*f + 1585, 0*f + 5*v - 415 = f. Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 3*a - 180. Let x(j) = 53*j - 3. Give x(h(r)).\nAnswer: 106*r**2 - 159*r - 9543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 - a**2. Let i(n) be the third derivative of 0 + 0*n**4 + 0*n + 1\/60*n**5 + 0*n**3 + 12*n**2. Determine i(s(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 337647744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -49. Calculate the common denominator of (g\/3)\/(((-240)\/9)\/16) and -13\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**3 - 4*x**2 - 154*x - 28. Let y(q) = -3*q**3 - 2*q**2 - 77*q - 13. Determine -6*o(d) + 13*y(d).\nAnswer: -15*d**3 - 2*d**2 - 77*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8730 and -5.8449.\nAnswer: 51025.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, z: 2}. Give prob of sequence zzk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13562172 divided by 6?\nAnswer: -2260362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45067005 and 1449.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - (-1 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g*g)**(-10)*(((g*g\/g**19*g)\/g)\/g)\/(g**(-2\/15)\/g) assuming g is positive.\nAnswer: g**(-1903\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/64923 or 0?\nAnswer: -2\/64923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and -117\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9590460 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*a**5 + 314736*a**4 + 494730*a**3 - 1393980*a**2 + 44931*a + 539604 = 0. What is a?\nAnswer: -3, -4\/7, 1, 14989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 54*t - 22. Let n(x) be the first derivative of 11*x**2 - 11*x + 312. Let a(u) = 5*n(u) - 2*s(u). Let z(j) = -j**2. What is a(z(r))?\nAnswer: -2*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -210210211 (base 3) in base 15?\nAnswer: -4a9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + 3*sqrt(405) + 5*sqrt(405)*1 + -1*((sqrt(405) + sqrt(405) + 0 + sqrt(405))*1 + sqrt(405) + -1 + sqrt(405) + 4))*-3)**2.\nAnswer: 810*sqrt(5) + 32830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*t - 119800 = 764*t - 1004*t + 4680 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15337.4 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 87c4 (base 14) to base 8\nAnswer: 55710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*6 - sqrt(95))\/(sqrt(180)*-1 - sqrt(180)).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12542 + -13003.95. Round o to zero dps.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5121813.86 to the nearest 10000.\nAnswer: 5120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/11)\/(32\/(-8))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921551, 921553, 921555, 921557, 921559, 921561?\nAnswer: 921563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7 + 405\/(-252)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12))\/((4\/30)\/2). Let k(o) be the second derivative of -o**4\/12 + 2*o**2 + o. Let t be k(0). Is t greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 41*m**2 + 17*m - 27. Is c(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125929 greater than -881502\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006 + 53 = -79*n - 758 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*t + 5 + 20 = 0, -4*d - 3*t = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/6 + q**3 + q**2 - 44*q - 1. Let n(d) = -d**2 + 9*d - 14. Let i be n(6). Suppose 0 = i*o - 44 + 60. Determine r(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1951.4988 months to centuries.\nAnswer: 1.626249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.089738 meters to kilometers.\nAnswer: 0.004089738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00672224 rounded to 4 decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -911286 * 2.\nAnswer: -1822572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1565611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -3*(-4)\/(-6). Let d be (-2)\/(-2)*(i + 0). Let f = 8 + -4. Solve d = k + 4*h + 19, f*k + h + 1 = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -527, 77, 1219, 2899?\n\"Answer: 269*h**2 - 203*h - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 11*g - 11. Find the common denominator of 2 + 190\/(-25) + g\/(-5) and 89\/82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -693 and -6788.9.\nAnswer: 4704707.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*z + 15 = -5*h, -5*h - 5*z + 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {j: 4, c: 1, d: 5, u: 1, k: 1}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2853, -5686, -8519, -11352, -14185?\nAnswer: -17018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101010 - -1001111100?\nAnswer: -11111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from {t: 2, m: 2, d: 2, g: 1, w: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 0*k + 3*k)*(3 - 1 + 0) + 2*k - 4*k + 4*k)*(-136*k**2 + 181*k**2 + 266*k**2).\nAnswer: 1866*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176939850.\nAnswer: 2, 3, 5, 1179599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1340 + 1344. What is the remainder when 154\/6 - (-1)\/3 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -h. Let k = h + 9\/2. Is k >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**3 + 2884*u - 18241 with respect to u.\nAnswer: -9*u**2 + 2884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54007235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 48.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 73 - 5. Let r = b - -93. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c. Let g(z) = -26*z. Calculate v(g(s)).\nAnswer: -130*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(24\/18*-6 + 20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-120))\/((-1)\/(-2))*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117)*2*-1)\/((sqrt(72) + sqrt(72) + -5*((sqrt(72) - sqrt(72)*1 - sqrt(72)) + sqrt(72)) + sqrt(72) - sqrt(72))\/sqrt(8)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from uuujuuuujmjmujujju.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13 (b) 2\/7 (c) 0.74 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5850 + 11749 - 5870 = p, 4*h - 13*p = 50 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31825826800 rounded to the nearest one million?\nAnswer: 31826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6436 - 6428. Solve -26*y - k*y - 102 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.8 + 15. Which is the nearest to 6? (a) 0 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+-2255.98\nAnswer: -2248.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -w - 2, -4*w = -14*v + 16*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -26898.\nAnswer: -26897.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411 + 415. Solve -6*y + u + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215911 is divided by 30449?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462 greater than or equal to 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1.04 (c) 1\/32 (d) -5 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 2. Let g(r) be the second derivative of 1\/4*r**4 - 114*r - 1 + 0*r**2 + 0*r**3. Calculate i(g(u)).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Suppose 6 + c = 5*r. What is the first derivative of 8 - 3 - 1 + 3*q**r wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n**3 - 21 + 3172*n**4 - 1587*n**4 - 1583*n**4 - 58 to s*n**3 + z*n**2 + f*n + q + h*n**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2234638 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**3\/3 + t + 3. Let q be k(-3). Suppose -19 = -l - 3*h, h = 2*l - 0*h - q. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 19*j**2 - 28*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(5\/2))*t)\/t)\/t*t*t*t\/(((t*t*t\/((t\/(t*t*((t**2*t)\/t)\/t))\/t))\/t)\/t)*(t\/(t*t**(-2\/9))*t*t)**(-7\/6) assuming t is positive.\nAnswer: t**(-383\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1808012*x**6 + 11*x**2 - 7*x + 6405 wrt x?\nAnswer: 216961440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78056*c**3 - 2*c**2 + 44*c - 1102.\nAnswer: 468336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b - 5*y, 10*b - 8*b - 5*y + 5 = 0. Which is smaller: b or 1\/1614?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1325 - -0.1325. What is the third biggest value in 5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 2*u - 8. List the prime factors of o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26384588 divided by 92?\nAnswer: -286789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -s + 21, 0 = 2*g - 7*g - 4*s + 28 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 24*q - 7. Give n(14).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.837835 seconds in microseconds?\nAnswer: 837835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139540927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 790\/200 - (1 - -5) and -101\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -6*j + 166 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 144 = -2*j, -o + 4*j = 8*j - 36. Suppose -5*a = 3*l - 41, 2*a + 6*l - 3*l = 20. What is the highest common divisor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2 + 83552*w + 872617088 = 0?\nAnswer: -20888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:29 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, 106, 2011, 3918, 5827?\nAnswer: 7738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 132*h**2 + 22*h. Let l(j) = -19*j**2 - 3*j. Let v be (-2)\/(-9) + 2940\/135. Let x(c) = v*l(c) + 3*d(c). Let g(p) = 4*p**2. Calculate g(x(t)).\nAnswer: 1936*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {s: 3, b: 3, z: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22196 and 8.\nAnswer: 44392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200202000120 (base 3) in base 2?\nAnswer: -1001100001000010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:08 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*f + 12 = 0, j + 0*f - 17 = -5*f. Suppose 8*n - 4*n + l = 22, -4 = -j*n + 3*l. What is the closest to 1 in 2, n, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 20*j + 39. Let u be l(21). Let s be (-4)\/(-18) - 7\/u. Let w be (-1 - 1)\/((-1)\/2). Sort -5\/2, w, s in decreasing order.\nAnswer: w, s, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -2*m - 2, -4*r - 5*m = -11. Suppose -5*g - r*i - 56 = -7*g, 2*i = -5*g + 152. Let h = g - 18. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 - 2*r**2 - 2*r**3 + r**3 to the form t*r**2 + b*r**3 + c + j*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/856 and -11\/12?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -573*((-8)\/6)\/2. Suppose 0 = 4*v - 2*v - b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 150 = -290. Let t = c - 29. What is the third biggest value in t, -0.19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxss when four letters picked without replacement from nsnssnxnnxnxxnnns?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*y**6 - y**4 - 229885*y**3 + 28810114*y**2 wrt y.\nAnswer: 10680*y**3 - 24*y - 1379310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b - -603?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 2323 = -117. Suppose -z + 52 = -f. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 166*d**4 - d - d**3 - 23 - 75*d**4 - 93*d**4 as k + l*d**4 + z*d**3 + y*d + g*d**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -1. Suppose 5*r = -3*p + 8 + i, -4*r = 4*p - 12. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56\/342501 or 0?\nAnswer: 56\/342501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48001\/2316 - 14\/579. Let q = 10004\/9 + -13695467\/12321. Let x = q - -99929\/10952. Find the common denominator of x and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 54948897.\nAnswer: 879182352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/8*((-11154)\/(-1755))\/(-143).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2849, -2860, -2881, -2912, -2953?\n\"Answer: -5*g**2 + 4*g - 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271453 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*l = -42*l - 5*l + 202*l - 12321 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/84*3*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a millennium in centuries?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1200994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:46 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54778186, -109556372, -164334558?\nAnswer: -219112744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 2090*v**2 - 15635*v - 313650.\nAnswer: -5*(v - 410)*(v - 17)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 1198 - 268 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67062 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - 10*k - 9. Let f be h(-4). Calculate the greatest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 not equal to -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-3)\/5*4. Do q and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 4650?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 157597 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 568800 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 2118?\nAnswer: 27534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1586*o + 1584*o + 1581*o - 11965*o + 1590*o + 4038*o + 1584*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*x - 39, 0*x + 18 = -3*k + 2*x. Let i = -8 - 0. Is k less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 0.2, -11, 4, -6, -733?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, t: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-193)\/(-3) + (-9)\/27. Let v = -37 + g. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1}. What is prob of sequence nj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*j = 12, -5362*v - 4*j - 18 = -5361*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 9, 3.7 in decreasing order.\nAnswer: 9, 3.7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 7. Let c be v(2). Let l be (-1 - -84)*(-2 + 4 - c). Let j = l - 5. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 50. Let n(r) = 2*r + 33. Give 5*c(p) + 8*n(p).\nAnswer: p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:34 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2)\/(9\/(-12)). What is the units digit of (-50)\/w - 4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -456 + 455 - 3*d**2 + 5*d + 2*d**2 as w*d + t + y*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)\/(c*c*c**(-3\/2)\/c*c))\/((c*c*c**(1\/12)*c)\/c**(-4\/7)) assuming c is positive.\nAnswer: c**(-1703\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.641?\nAnswer: -1.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:37 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d - 1 - 2*d - 18*d - 7*d + 15*d + 2*d + 4*d - 3*d + (-2 + 3 - 2)*(2*d - 3*d - d) - 2 + 2 + d as g + w*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38124 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 190 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 6*r - 6. Let b be d(-4). Suppose j + b*j - 174 = 0. Let q = 114 - j. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i - 45. Let v(y) = -2*y + 2. Let q(h) = -m(h) - 6*v(h). Let p be q(-22). What is the greatest common factor of 20 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896843927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0)**(-13))**(-42) assuming r is positive.\nAnswer: r**546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:30 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11216 and 2096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -274, -25\/4, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 2*x**2 + 4*x + 0*x**2 + (-3*x - 10*x - 2*x)*(-47 + 6*x + 47) + (0*x + 0*x - x)*(-3*x + 4*x + x).\nAnswer: -94*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-16) - (-1)\/4. Let k = 0 + f. Let d be (1\/5)\/((-1)\/2). Is d smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -20 - (-2 + 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 8*t - 1. Let i(f) = -11*f**2 - 16*f - 1. Let m(a) = 9*h(a) - 4*i(a). What is the lowest common multiple of 23 and m(-4)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1760 and 73\/1760?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3047643430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 3*b + 2. Let r(m) = -m + 1. Calculate q(i) + 3*r(i).\nAnswer: -2*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11238 and 4901641?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042748889 to six decimal places.\nAnswer: 0.000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 21 + 60 - 20 + 3*p - 18. Let b(y) = -2*y - 1. Give 5*b(m) + 4*o(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 - 2*g**2 + 2*g - 13. Let h(w) = 87*w - 12012. Let m be h(138). Let t(l) = 2*l**3 + l**2 - l + 7. What is m*c(f) - 11*t(f)?\nAnswer: 2*f**3 + f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 80 = -34*x. Suppose -31 + 6 = -5*n. Suppose 4*r = n*f + 135, 5*f - x + 0 = -r. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16104550 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(832) + 1)*6*-6)**2.\nAnswer: 17856*sqrt(13) + 1079233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 13*u**2 - 13*u - 17. Let c(b) = b**3 + 7*b**2 - 7*b - 9. Let g(k) = -11*c(k) + 6*o(k). Is g(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s + 211*s = 1180. Solve -10 = 5*r - s*p, -3 = 44*r - 43*r - 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c**5 - 147*c**4 + 951*c**3 + 1407*c**2 - 933*c - 1260 = 0. What is c?\nAnswer: -12, -7\/6, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-35) - 2804\/14. Let m be (-3 + -1)\/(2\/g). Suppose -160 = 4*n - m. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 t when three letters picked without replacement from zimmtrdi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 591 or -6?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 347044082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s - s)*(3*s**3 - 2*s**3 + s**3 + (2 - s**2 - 2)*(-s - s + 0*s))*(2 - 3 + 0 + (3 - 2 + 1)*(2 - 4 + 0) - 1 + 2 + 0 + 4 - 2 - 6).\nAnswer: -32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 36. Suppose 4*u + 2*i - 124 = 4*i, -u + 3*i + m = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**2 + 695 - 695)*(48*v + 5 + 1395*v + 6 - 11).\nAnswer: 21645*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 1. Let j be a(-5). Let t be -10*6\/12*4\/(-5). Suppose 0 = t*z - 5*m - 5 - 19, -4*m = 4*z - j. Calculate the remainder when 23 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*y + 2*l, -195*y + 5*l = -196*y + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 6255.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 127073 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 22. Suppose 45*g = 38*g - 63. Let l be p(g). Suppose 2*i = u - 102 - 51, 588 = 4*u + l*i. List the prime factors of u.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*o = 1, 5*y - 3*o - 37 = y. Let s = 1027 - 581. Find the third derivative of 2*m**2 + 446*m**5 - s*m**5 + y*m**6 wrt m.\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*r - r**2 - 3*r**4 - r**5 - 3*r**3 - 25*r.\nAnswer: -r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 12. Let b be l(28). Let c be ((-1479)\/163 - -9)*(-2)\/b. Is 1 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2528665778.603 and -0.2.\nAnswer: -2528665778.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5534 - -13?\nAnswer: -5521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -4 + 56 + -3. Suppose 4*b - q - 35 = 0. What are the prime factors of b\/(-5) - (2 - 32)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055 = 24*f - 720 - 647 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7923006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t + 104 = -208 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -508108, -508491, -508874, -509257, -509640, -510023?\n\"Answer: -383*c - 507725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/81 and -161\/15320160?\nAnswer: 137881440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6166*o - 148. Let b(i) = -30831*i - 815. Calculate -11*a(k) + 2*b(k).\nAnswer: 6164*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 12\/(-7). Let y be (4 - (2 + 4)) + 4. Suppose -4*m = n - 25, y*m + 5*n + 3 = 2. Solve -5*h = w + 2, 4*h = -w + m*h - j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -9. Let l(o) = -42 + 45 + o + 0*o. What is l(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, w: 2}. What is prob of picking 1 w and 2 s?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*s + 40. Suppose -n = s*n - 345. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {l: 1, g: 1, p: 2, c: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 225a5 (base 16) to base 15\nAnswer: 2ba59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(1\/2)*v*v)*v\/v**(-5)*(v\/(((v\/v**0)\/v)\/v*v*v))**(3\/32)*(v**1)**(-1\/4)*(v\/((v\/(v\/(v\/v**(-2\/5))))\/v))**(-2) assuming v is positive.\nAnswer: v**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252605 is divided by 10510.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477942015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33620841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90159300 by -50.\nAnswer: 1803186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57154\/21 - -2722. Let v(o) be the second derivative of 8\/7*o**2 + 0 - 2*o + n*o**3 + 1\/21*o**4. Suppose v(w) = 0. What is w?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137239297.\nAnswer: 13, 239, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016800888 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-16)\/28*14\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t + 162 + 2\/9*t**2.\nAnswer: 2*(t + 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 6*b**2 - 11*b**2 + 4*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4*p + 2. Let y be d(-3). Let n(m) be the second derivative of 1\/3*m**3 + m + 0*m**2 + 0. What is n(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371 - 349. Suppose -t*q = -0*q + 110. Let i(a) = a**3 + 5*a**2 - 3*a - 10. Calculate i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r**5 - 6970*r**4 + 21900*r**3 - 17240*r**2 + 3840*r = 0.\nAnswer: -96, 0, 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -256*o + 513. Determine n(-1).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20100 - 1?\nAnswer: 20033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 183*i**3 - 50843. Let m(u) = -2*u**2 + 0 + 0. Determine m(f(a)).\nAnswer: -602802*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 2*f + 2*f - 5*f - 3*f + 5*f + (0 - 1 - 1)*(1 - 2*f - 1) + f + 0*f - 2*f + f - 2 + 2 + f - f + 3*f to the form r*f + w and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/12)\/7*3*4\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 775, 1519, 2513, 3733?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 10 (c) 6 (d) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*g = -284, 2*d = -5*g + 2*g + 568. Suppose m = -m + d. What are the prime factors of m?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9388 + 9474.888. Let d = l + -87. Let t = d - 0.168. What is t rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 3*p - 3*p + (0*p**4 + p**4 + 0*p**4)*(p + 0 + 0) + (3 - 3 - 2*p**4)*(-2*p + 4*p + 0*p) - 2*p**5 + 2*p**5 - 2*p**5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35699*c**3*p + 47*c**2*p - 3*c**2 - 5*p + 1 wrt c?\nAnswer: 214194*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + o - 2*l - 12, -o = -2*l - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 111*j - 635. Let i be a(6). Let m(f) = -3*f + 2. Let h(x) = -2*x + 2. Calculate i*h(y) + 6*m(y).\nAnswer: -8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b + 4*r, 3*r = -3*b + 27. Solve q + 3 = 1, -3*g + 3*q = -b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3)\/(6\/4 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let i(u) = -1507*u. Determine i(j(a)).\nAnswer: 1507*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 231\/105 - 1\/5. Suppose 3056 = w*g - 558. What are the prime factors of g?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (1738593\/(-222))\/227.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + 192\/112. Let p = 6 + j. Differentiate 5*l**3 - 5 + 2 + p*l**3 wrt l.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqkqqkqkqkqk. What is prob of sequence qk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:28 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10939214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-830)\/6*(-6537)\/10895\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 42*a**2 - 2*a + 30. Calculate t(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4 - 3) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -370? (a) -2\/3 (b) 1.2 (c) -0.4 (d) 1 (e) -14 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 1. Let h(p) be the first derivative of p**6\/360 + p**3 + 12*p - 23. Let v(t) be the third derivative of h(t). What is r(v(o))?\nAnswer: -5*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (9 - (1 + 3)). Let p be m - (4 + -2) - -106. What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20122101?\nAnswer: 20122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/(7\/((-2352)\/36)). What is the highest common factor of 49 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(0*z**2 - 9*z**2 + 2*z**2)*(-2*z + 1 - 1).\nAnswer: -28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose 0 = -w + d*w. Let h(p) = -p**3 + 61*p**2 - 937*p + 286. Let v be h(32). Sort -4, w, 2, v in increasing order.\nAnswer: -4, v, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*x - 94, 5*r + 96 = x + x. Let s be (8\/r)\/(4\/(-10)). Suppose -z = 2 - s. Which is bigger: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97048 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 2*p)*(-p - 2*p + p) - 2*p - 8*p**2 - 73 + 57 + 56.\nAnswer: -4*p**2 - 2*p + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53785 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/2 - 16*o**3 - 24*o**2 - 22*o - 204. Let a be d(-23). Solve 10*h + 2*h - a = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -320, -1093, -2570, -4991, -8596, -13625?\nAnswer: -20318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -588 - -594. What is the lowest common multiple of 1356 and f?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 9*i + 37. What is m(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1839, -3630, -5471, -7380, -9375, -11474?\nAnswer: -13695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 109*n + 1409. Give q(120).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64500 and 1005.\nAnswer: 4321500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 15 (b) 4204 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*w + 6117 = -98*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -48. Let h = 2.94 - 3. Let k = 3.94 - h. What is the smallest value in -3, k, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p - 1. Let x(b) = 18*b + 3. Give 5*h(o) + 2*x(o).\nAnswer: -9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**3 + 1262*l**2 + 360*l - 7. Calculate j(-180).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3, 12.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 4*u**3 - 5*u**4 + 2 - 2*u**3 + (1 + u**2 - 1)*(-13*u + 13*u - 8*u**2).\nAnswer: -10*u**4 + 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 7, -1, 4, -2, 3889 in descending order.\nAnswer: 3889, 7, 4, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -32. Suppose -5*v - 15 = -5*w, 3 = -v + l. What is the third smallest value in 2\/3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -78*f**2 + 1256*f - 122. What is the lowest common multiple of (-1 - -2)*-11*-2 and m(16)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1303827812 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2859326, -2859339, -2859374, -2859443, -2859558, -2859731, -2859974?\n\"Answer: -2*z**3 + z**2 - 2*z - 2859323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 276*o + 5541. What is the ten thousands digit of m(101)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 6, -71 in decreasing order.\nAnswer: 6, 3, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 644 + 329 = 8*o - 227 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.7 in 5\/3, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + v - 15 = -42, -3*m + 166*v = 164*v - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(5704\/69))\/(-1 - 129\/60).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from {e: 6, h: 4, o: 2, u: 3, w: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.97 - 123914.4.\nAnswer: -123927.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32091\/4 - 47645\/6. Let s = -82 + c. What is the nearest to s in -0.4, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 1 + 4*o**2 - 3*o**2)*(36*o - 390*o + 59*o).\nAnswer: 295*o**3 + 295*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + 4*sqrt(117) + sqrt(117))*1)\/(sqrt(81)\/((5*sqrt(108))\/sqrt(12))) + 2 + -2.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-9)*6\/8. Let v(l) = -l. Let f be v(-1). Let n be (17 - 15)\/((0 - -8) + -13). Which is the closest to f? (a) n (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2839 + -64.\nAnswer: -64.2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*v = 1, -7 - 16 = -2*k - 3*v. Solve k*u = 3 + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 351168 and 1097400?\nAnswer: 8779200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (1 + sqrt(3))*-2 + 0 - 3*sqrt(21)\/(6*2*sqrt(7)))*-3)**2.\nAnswer: 162*sqrt(3) + 4491\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 111. Suppose -2082 = -t*q - 546. Find the common denominator of 2*-6*(-108)\/q and 61\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2967*a - 4381*a + 2043*a)*((-6 + 3 + 2)*(-7 + a + 7) + 0*a - a - a - 3*a - a + 0*a) in the form o + y*a**2 + h*a and give y.\nAnswer: -4403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020021 + 11110102021?\nAnswer: 11111122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102327001*k + 998563 wrt k?\nAnswer: 102327001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u - 105. Calculate h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3446235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 2, n: 5}. What is prob of sequence yly?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 11221?\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (-464)\/(-40) - 3672\/5. Let m = j + 1667. Is m a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w - 45. Let o(b) = 5*b - 23. Let z(h) = -11*o(h) + 6*x(h). Let s be z(3). Let n(q) = 4*q + 1. Calculate n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 g when four letters picked without replacement from ggyygygygyyg.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4.02.\nAnswer: -36.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 34*a + 20. Is i(-19) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and -11\/141270?\nAnswer: 141270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r = -12084482 + 12084482 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 12*f - 8. What is the derivative of 17 + r - f*r + 16*r + 8*r wrt r?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 382 - 439. What is k rounded to zero decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3144032 (base 5) to base 11.\nAnswer: 36918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315*u**6 + 52446*u**4 - 2*u**3 - 403144579*u**2.\nAnswer: -37800*u**3 + 1258704*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - h**4 - 2*h**2 + (3*h + 2*h**2 - 3*h)*(3 + 6*h**2 - 3).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:42 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = -3*i, -12 = 2*i + 3*u - 4*u. Let c(f) be the third derivative of -5*f**4\/24 - 3*f**3\/2 + 5*f**2. Is c(i) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -84*n + 4. Let j(v) = -296*v + 14. Let h(k) = 2*j(k) - 7*o(k). Let d(p) be the second derivative of 0*p**2 + 0 - p - 1\/6*p**3. Calculate h(d(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*r*v + 748*r - 5*v wrt v.\nAnswer: 24*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407314 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 8*h = 4*h + 8*x + 229 - 45, 3*h - 2*x + 206 = 0 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-6)\/(-154) - (-12)\/(-66)). Let b(v) = 8*v - 54. Let t be b(o). Solve -2*f = -u + 5, -f = t*u + f + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/749945 and 44\/26248075.\nAnswer: 26248075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let l be (b - 222)*(21875 - 0). What is l rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 5. What is the third derivative of -s**b - 6*s**4 + 6*s**4 - 4*s**4 wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 - 80\/3*g**4 - 199*g + 520\/3*g**3 - 845\/2*g**2. Factor n(m).\nAnswer: -5*(8*m - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 30047 + 14*l**3 + 18*l**3 + 30047.\nAnswer: 32*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*n, 467*y - 376*y - n = -1454 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 32656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -12*o + 718. Let q = -45 + o. Suppose -q*s - s = 5, 5*s = g - 164. Is 49 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/55)\/((-608)\/(-176))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1. Let b(j) = 79*j**2 - 125. Let c(n) = 20*n - 86. Let q be c(4). Let s(k) = q*i(k) - b(k). Differentiate s(x) with respect to x.\nAnswer: -158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8563*c**3 + 0*c + 7205*c**3 + 8 + 0*c.\nAnswer: -1358*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 88*g**2 - 12*g + 1065. Let r be j(88). Solve r*w - 47 - 7 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2702c (base 15) to base 13\nAnswer: 44b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/k**(-2\/3)))\/k)**(-41)\/((k\/(k\/(k**(-4)*k*k)))\/k**(-1\/2)))\/(((k**(-2\/5)\/k)\/k)**(-30)*k\/((k*k**(1\/4)\/k)\/k)*k**(-1\/9)\/k) assuming k is positive.\nAnswer: k**(1375\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 788773043 to the power of 1\/3, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let w(u) = -1. Let g(o) = 2*o - 7. Let k be g(5). Let c = 2 - 3. Let t(s) = c*h(s) + k*w(s). What is t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-714)\/1309)\/((-30)\/440)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzzxzzlllx. Give prob of sequence xzlz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*s = -37, 0*u + 4*s = -u - 11. Solve 3*m = -u*k + 26, -4*m = -2*m - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -426*a**3 + 34*a**2 + 58*a + 23. What is u(-1)?\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 1.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14583\/5075 + -83\/29. What is the smallest value in -5, 4\/7, 3, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 75 + 75 + d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*i + 4, 4*i = -0*i + 5*y + 41. Suppose i*v - 1485 = -v. Calculate the highest common divisor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3737 - 3733. Which is the nearest to 2? (a) 0.02 (b) x (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 divided by -3806.\nAnswer: 177\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 27*p + 94*p - 770 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443224.107 rounded to the nearest 1000?\nAnswer: -1443000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -48\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1306.419 to zero decimal places.\nAnswer: -1306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 5. Let m(n) = -n + 1. Let i(u) = l(u) + 3*m(u). Let v be i(6). Suppose 0 = v*t - a - 62, 3*t + 3*a - 26 = 28. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r**2 + 146*r**2 - 67*r**2 + 25 - 25 + 25227*r - 25227*r.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m*q + 6*m - 15*q + 34 wrt q?\nAnswer: -4*m - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, b: 2, a: 6, k: 4, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 106172114239825.\nAnswer: -106172114239819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/39 - (-70)\/15. Solve -s = 2*w + 2, -i*s + w - 16 = -31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 29*x**3 - 8*x**3 - 26 + 31 + 48*x - 48*x. Let d(s) = 1. Give -6*d(r) + i(r).\nAnswer: 21*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115354 by -209.\nAnswer: -115354\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 3*a + 76 = 0, 3*w = 5*a - 158. Let j = 102 + w. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - v**2 + v + 1. Suppose -3 + 1 = 2*n. Give x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24110736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 7 - 11 + 5*f**3 wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72) - (sqrt(72) + -1) - sqrt(72)) + sqrt(72))*5 + -1 + sqrt(72)*-2 + 2*sqrt(72)*2*-4)*2)**2.\nAnswer: -3456*sqrt(2) + 93376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6847501394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 15.5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1108898 divided by 103\nAnswer: 10766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6743 + -6494. List the prime factors of j.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + c + 167 - 35 = 0, -5*c - 114 = -2*m. Calculate the remainder when 1252 is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -18. Suppose 3*d - 11 = 16. Suppose 0 = -3*v + q + d, 14 = 4*v - q - q. Put v, i, 4 in increasing order.\nAnswer: v, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 3. Determine s(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from liii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354942, 354943, 354944, 354945, 354946, 354947?\nAnswer: 354948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346338?\nAnswer: 2, 3, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.1 (b) 1\/10 (c) -144 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 4*w = -206 + 752. Suppose 44 = 4*a - 36. Calculate the smallest common multiple of w and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6410, -25613, -57618, -102425, -160034, -230445, -313658?\nAnswer: -409673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, 5*j + 25 - 76 = 4*r. Calculate the highest common divisor of 440 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -920503 divided by 5.\nAnswer: -920503\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7517489 at least as big as -7517490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 19 + 10. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 18. Let b = -5 - q. Determine p so that p**2 - 16 + b*p**2 - 15*p - 4*p + 7*p = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319982 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: How many minutes are there between 8:16 AM and 3:25 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5927.8 + 5928. Which is the fourth smallest value? (a) z (b) 26 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36811?\nAnswer: 131, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 13 = 78. Let a be (2 - (-48)\/(-28))*x. Solve 2\/3*w**3 + 2\/3*w**a + 0*w + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2. Let v(x) = -2*x**2. Calculate z(v(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + q**3 - 3*q**3 + 0*q**3 - q**3 in the form k*q + t + o*q**3 + l*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/4035 + -15011\/1614. What is the common denominator of v and 14\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*k + 12 = 6*z, 2*z + 3*k = 7. Let v be -5*(-2)\/(-4)*z\/(-5). Calculate the greatest common factor of v and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1396 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-14 - -22) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(24\/7))**6)**(-13))**(3\/16) assuming u is positive.\nAnswer: u**(-351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 - 12089067*j\/5 + 2417814.\nAnswer: -3*(j - 1)*(j + 4029690)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892838534?\nAnswer: 2, 34487, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105.1 - -4149.1. What is the closest to y in 0.4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65201.\nAnswer: 113, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24.05. Let t = i + 0.05. Which is the third smallest value? (a) t (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 11. Let y be h(8). Let g be (4\/2)\/(y\/6). Solve 2*i = g*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -556 in -6, 0.04, 5, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 2*p**2 - 10. Let v be d(5). What is the common denominator of -87\/8 and (2565\/v)\/((0 - -6)*-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -166*c**2. Let q(b) be the first derivative of 55*b**3\/3 + 4560. Give -8*q(l) - 3*z(l).\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64649 divided by -1124.\nAnswer: 64649\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 0)*(-2 + 2 - 6910*u - 7033*u + 2715*u).\nAnswer: 67368*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -63, -93?\n\"Answer: -30*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - 3*f**3)*(-5*f**2 + 3*f**2 - f**2) + 3*f**3 + 2*f**5 - 3*f**3 + (-2 + 2 + 3)*(-2 - 1 - 8)*(-f**5 + 0 + 0).\nAnswer: 44*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*g + 364*g = 630 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-231)\/(-5))\/(-1))\/(26\/130). Let m = t + 609. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -0.49. Suppose -3*p - 5*r + 12 = -r, 2*r - 6 = 4*p. Put s, p, 0.2 in descending order.\nAnswer: s, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -90 - 93 + 183 - a. Let m(w) = 105*w**2. Calculate g(m(v)).\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4\/(-6)*9 + 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by -154.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 8*a**2 - a + 4. Let t be 5 - -3*(-3)\/(-9). Let f be u(t). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + h**2)*(-2 - 1 + 2 + (6 + 0 - 2)*(2 + 1 - 4) + 2 + 0 - 3 + 7 + 0 + 1) to a*h + j*h**2 + v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**5\/30 + q**4\/8 + q**3\/6 - 7*q**2\/12 - q - 43. Let o(i) = 0. What is i?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:52 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -4\/7, 0.05 in ascending order.\nAnswer: -4\/7, 0.05, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 + 17 = 5*r, 18 = -r - 4*n. Suppose 0 = -j + t + r*t - 7, -4*j - 17 = -t. Suppose 2*l - 7*l = -20. Sort -1, j, l in descending order.\nAnswer: l, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -q - 5, -2*q - 2*d - d - 3 = 0. Let g be (q + 1)\/(3\/15). What is the greatest common factor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2\/4 + 308795*t\/4 + 154395\/2 = 0.\nAnswer: -61758, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 + 0 = 0. Suppose 0*s = -g*s. Let n be (s*3\/15)\/1. Solve -4 + n = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 2*(-8)\/80 - (-632)\/10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*n**2 - 23*n**2 - 4*n**2)*(5*n - 3*n + n)*(3 - 2 - 2) as i*n**2 + z + j*n + l*n**3 and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12177953 divided by 3109?\nAnswer: -3917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*9\/10*10\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -41 - (-4 + 9 + -4 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 11. Let z(t) = 6*t + 21. Give 11*v(n) + 6*z(n).\nAnswer: 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o - 10. Let v(w) = -3*w**2 + 2*w - 29. Let a(q) = -17*u(q) + 6*v(q). Let s be a(-3). Suppose 3*k - 10 = 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: What comes next: -55, -145, -401, -907, -1747, -3005?\nAnswer: -4765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0242113 + -0.0244. What is r rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 9\/10, -4, -4\/7, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 11*b + 9. Let n be d(12). Let o(g) = -g**3 + 5*g**2 + 4. Let v(m) = 2*m**3 - 6*m**2 + m - 4. Let l(y) = -3*o(y) - 2*v(y). Calculate l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 10:47 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 + n**4\/6 + 15*n**2. Factor b(h).\nAnswer: -h*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1686 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(102) - -2*sqrt(102)))\/(sqrt(96) + (sqrt(96) - sqrt(96)*-6*-5)).\nAnswer: -45*sqrt(17)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -99*i + 1094. Give t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4157*g**2 + 8*g + 26 wrt g.\nAnswer: -8314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 725044, -3, 4, 2, 7, -2.\nAnswer: -3, -2, 2, 4, 7, 725044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, 9, 329.\nAnswer: -4, -2, 2, 9, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428201285*z + 51847636 with respect to z.\nAnswer: 428201285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -46*r**3 + 3*r**2 - r - 2. Let a be s(2). Let x be 2\/(-9) + (-2340458)\/a. Let g = -6503 + x. What is the common denominator of -81\/8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-13)\/c*c*c**(-1\/12)\/c*c assuming c is positive.\nAnswer: c**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1 + -6.2. Let n = -0.1 + 0.2. Let i = v + n. Which is the smallest value? (a) -1 (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2. Let l(x) = -74*x - 2 - 2 + 72*x. Let k be l(-8). Let y(c) = -c**2 + k*c - 12*c. Give q(y(b)).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5778.501 days?\nAnswer: 499262486400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 59 = 4*k. Let n be 20\/8*k\/15. Is n\/(-20) - (-299)\/5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78313325 + 1819.4.\nAnswer: -78311505.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -850 by -170.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -643540?\nAnswer: -64356a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10827 minus -4?\nAnswer: -10823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 + 706 = 8*w - 210. Solve -5*b = -207 + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 101088 = 351912. Round m to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4) + 0)*((-13)\/(-2) - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, d: 3}. What is prob of picking 2 a and 2 d?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-2) + 6\/(-4). What is the remainder when 366\/18 + (-4)\/r is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10062 and 3328?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 363531 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35399483 * 14.\nAnswer: 495592762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/2))\/(2\/(-9)*9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -163*o - 507. What is the least common multiple of y(-9) and 33?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*d**4 + 9*d**4 - 11*d**4)*(10 + 24 + 7).\nAnswer: 1558*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -120, 3, 724.\nAnswer: -120, -0.1, 3, 5, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -826*r + 2. Let i be n(-4). Let z = 16197 - 11544. Let b = z - i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -13\/772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1196, -2393, -3590?\nAnswer: -4787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3295806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -2.02. Let v = 2.1 + b. Let j = -0.4 - v. Sort j, 0.3, -4 in decreasing order.\nAnswer: 0.3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus 33.8271241152?\nAnswer: -35.1271241152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4 + 32 + 2*a - 8 - 10*a - 9. Suppose -31 = -3*s - 5*r, -6*r = -3*s - 2*r + 13. Give n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69444 and 540.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w + 12. Let b be x(-3). Suppose b = 4*d - 1 - 19. Solve -3*s + 2 = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (36704\/(-620))\/(6\/(-705))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -42*w + 58. What is z(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 6*k - 8. Suppose -4*n + 0*n - 20 = r, 4*r = 4*n + 20. Suppose r = -3*q - 0*q - 9. Put k, q, 2 in increasing order.\nAnswer: k, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10199.648 rounded to the nearest one hundred?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 23*f**2 - f + 104. What is the units digit of a(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -459507083 + -1040496827. Let n = -1500003933.69999519 - w. Let t = 23.7 + n. What is t rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u, -3*u = 2*m - 2*u - 151. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 9905*(-71)\/(-9940)?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 14*z - 34*z - 19*z - 87 - 32*z. Is c(-18) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(684)*-2 - sqrt(684)) + -3 + sqrt(684) + -2 + -3*sqrt(684) + sqrt(684) + 3)*-6)**2.\nAnswer: 13824*sqrt(19) + 1576512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 70. Let m(u) = 2*u + 70. What is 4*m(o) - 3*q(o)?\nAnswer: 2*o + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 91880*n - 5681184.\nAnswer: -4*(n + 62)*(n + 22908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1 - 8*q + 8*q + 2*q + 0. Let o be (-1*(1 - 3))\/1. Give x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -186)*3*5\/15 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 1, 1\/9, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15506, 15509, 15512, 15515?\n\"Answer: 3*k + 15503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174710 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2872, 5.\nAnswer: -4, 3, 5, 2872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2)**(4\/29))**(-48))**(-11) assuming h is positive.\nAnswer: h**(4224\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.1 (c) 0.3 (d) -6 (e) -22\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14bc3 (base 14) to base 8.\nAnswer: 145007","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 865.7745mm to centimeters.\nAnswer: 86.57745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/25*26\/(-104)*-6?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + a9b?\nAnswer: b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6445604*h**3 - 7*h**2 - 203141*h?\nAnswer: 38673624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25559 is divided by 211?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.268 - -3.6843. Which is bigger: -0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8510 = 5*i + 5*o - 1210, 2*o + 3908 = 2*i. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1458*i**4 - 2567*i**2 - 2?\nAnswer: 34992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 + 125 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 + 1597865*f**2 - 638289144875*f - 3191485671125 = 0 for f.\nAnswer: -5, 798935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2631\/2, 1\/4, 4.17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 172. Suppose 7 = 2*h - o. Solve -5*y - h = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3, -419, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*p + 10*d - 11*d, 3*d = -15. What is the second biggest value in 4, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 3*n**2 - 350. Let p(j) = 3*j**3 + 5*j**2 - 526. What is 8*l(h) - 5*p(h)?\nAnswer: h**3 - h**2 - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6230 - -6221. Let q(y) = -11*y - 82. What is q(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6121764\/17 or -360103?\nAnswer: -6121764\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -795 + 799. What is the closest to 3\/2 in 3, o, -0.1, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2561676663, -2561676664, -2561676667, -2561676672, -2561676679, -2561676688?\nAnswer: -2561676699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1223992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 54*n + 2. Let z be s(-27). Suppose 3*g - 33 = z*f + 96, -g + 39 = -2*f. What is the greatest common factor of 255 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -3*o**7\/70 + o**6\/8 - o**5\/20 - o**4\/8 + 9*o**2. What is a in i(a) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-3600)*-45)\/((-6)\/(-16)*(-65)\/(-90)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 4 = 0. Suppose 3*o - 5 = -2, 4*x - 14 = w*o. Suppose 2*f - 31 = 1. What is the lowest common multiple of f and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24696 + 24900. Calculate the lowest common multiple of o and 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 825\/12 - 3\/12. Let r = n - -66. What is the nearest to -2 in r, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jji when three letters picked without replacement from {w: 2, j: 2, r: 2, i: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 3\/76, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 10 (b) -1\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39222021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 959796.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 61202.\nAnswer: -6120.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*l = -29700, -5*x - 2039*l = -2037*l - 148410. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 + 705*x. Let c(k) = -11*k**2 - 706*k. What is 4*b(g) + 5*c(g)?\nAnswer: g**2 - 710*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-408)\/95 - (-8976)\/2040.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1)*5 + 2 + sqrt(3) + sqrt(21)\/sqrt(28))**2 + (-3 + ((0 + sqrt(75))*-5 - sqrt(75)) + -3)**2.\nAnswer: 1011*sqrt(3) + 37087\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -10*h**3 + 9*h + 25. What is the derivative of z(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 2\/3 (c) 19 (d) -1 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -y - 1, 0 = -4*w - w + 5*y - 35. Let x be (-3)\/w - 2\/(-4). Suppose -i = x*i - 36. 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: Let x = -373 - -382. Solve -13*o = -x*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*o + 443*o + 3*o**3 - 85 - 225*o.\nAnswer: 3*o**3 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 2016.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 69538180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 791 + -203. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2112525\/(-511128) - 8\/(-31).\nAnswer: -31\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3262 - -3262. Let a(t) be the third derivative of 0 + 1\/10*t**5 - t**3 + 0*t**4 + 4*t**2 + j*t. What is the derivative of a(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgkk when four letters picked without replacement from {g: 2, k: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:29 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0)\/(2\/(-6)). Solve m*y - 20 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 8\/40913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) -43 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -312777, -1, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/3 - 332*o - 20667.\nAnswer: -(2*o + 249)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z + 12*z)*(3*z**2 - 2*z**2 + 4*z**2 + (-4 + 1 + 4)*(-z + z + z**2)) - 2*z**3 - z**3 + z**3 to the form l*z**2 + t + v*z + u*z**3 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 14 - 16. Let t = v - -3. Suppose 0 = h + 3, -5*h = 4*b - 99 + t. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8044*c + 6*c**2 - 8044*c - 61.\nAnswer: 6*c**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*b + 5 + (-4 + 5 - 2)*(b + 0*b + 0*b)*(-5 + 5 - 4) as k + i*b and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 20. Let n = f - -16. Let h = n - 9. What is the smallest value in -4, h, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1142013 - 145849?\nAnswer: -145848.8857987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 2*t + 1. Let y(o) = -11*o**2 - 10*o - 41. Let u(d) = -5*v(d) - y(d). What is u(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {r: 7, y: 2, b: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1312*m - 2 + 2700*m - 1113*m. Suppose 6 = -2*s + 2*q, 2*q = 2 - 0. Let o be i(s). Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + (2*sqrt(1100) + sqrt(1100) + 5)**2)) + 3.\nAnswer: -9922 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24274 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1015080903323\/146020 + -340630715\/49. Let b = r + -1\/4172. Which is smaller: b or 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*b - 58 + 166 + 9*b to j*b + l and give l.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 151345 - f - f**3 + f**2 - 151347 - 9*f**4 + 10*f as k*f**3 + d*f**2 + z + s*f + i*f**4 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 4*d**2 - 7*d**4 + (3*d**3 + d**3 - 6*d**3)*(0*d + d + d) - d**3 + d**3 + 2*d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*j**2 - 10*j**2 - 59*j**2)*(-7*j - 3*j + 3*j) + (-3 + 2*j + 3)*(-3 - j**2 + 3) + 2 - 2 + j**3 - j**3 - 3 + 3.\nAnswer: 621*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h, -20 + 5 = -5*c - 5*h. Suppose -4*v + 92 = -3*b, -6*v - c*b = -3*v - 48. Solve 2*x = o + 2*o + 13, 5*o = -5*x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12*a - 32 = 0, 527055*o + 6*a - 8 = 527060*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 54.8. What is the nearest to c in -2, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.362 times -0.62\nAnswer: 8.90444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767425111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -25575*g - 613850. Give m(-24).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 5 - 2*x - 9 + 2*x**2 + 2 as l*x + u*x**2 + m*x**4 + p + s*x**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let k(r) = -3*r - 102. Calculate k(i(x)).\nAnswer: 6*x**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72368582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -i - 10, 3*i + 299 - 324 = 2*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(1 - 3 + 6)*(-711374 + 711374 + 1663*l) in the form b*l + z and give b.\nAnswer: 6652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21608340 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5661.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {a: 2, q: 1, s: 1, k: 1, y: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -44*h. Let j(y) be the third derivative of -y**5\/60 - 10*y**2. Give j(u(g)).\nAnswer: -1936*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57951246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -0.4?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(7\/4)*k**(-1\/6)\/(k*k**3) assuming k is positive.\nAnswer: k**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (sqrt(7) + -3)**2 - (sqrt(448)*4)**2) + 4.\nAnswer: -7150 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57244 in 1, -3, 0.4, -1\/2, 15\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydkr when four letters picked without replacement from kirkiddikrkyiciyrdkk.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/((-3*sqrt(8))\/sqrt(2)))\/(-3*sqrt(125)*2))**2.\nAnswer: 1\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 23 + 47 = 0. Suppose -8*s - 3 = -g. What is the remainder when 69 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(14\/3)\/(v**(2\/5)\/v)**(2\/11))\/((v\/v**(-2\/7)*v*(v*v**(4\/7)*v)\/v)\/(v**(-3\/7)\/(v*v**(-4)))) assuming v is positive.\nAnswer: v**(4031\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 3. Let b(m) = -4*m - 13. What is 2*b(w) + 9*u(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v - 5. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*15*(-1 - -2). Let g(p) = 6*p**2 + 70*p - 286. Let o be g(4). What is the greatest common divisor of o and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7790 - 23410 = 6*n. Round n to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 - 36*s**3 + 22*s**3 - 71*s**3.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -2*sqrt(36)\/sqrt(2))\/sqrt(9).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 5)*(-10*r**4 + 8*r**4 - 3*r + 20*r)*(1 - 2*r - 1).\nAnswer: -48*r**5 + 408*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/4)*q\/(q\/(q**8*q*q))*q*q)**(2\/83) assuming q is positive.\nAnswer: q**(55\/166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2816 + 132027?\nAnswer: 128111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2 + 1\/4*g**4 + 24*g - 3 + 1\/3*g**3. Is 12 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/21 + (-56)\/6. Let v be (-15)\/u*(-20)\/6. Are -4 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 17*t + 67. Let a be x(-12). Let p(f) be the first derivative of 1\/3*f**3 - 1\/4*f**4 + 0*f - a + 2*f**2. Calculate p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**2 - 98*z. Let c(v) = 16*v**2 + 194*v + 1. Give 6*c(m) + 11*n(m).\nAnswer: -3*m**2 + 86*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -0.08 (c) 7 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358 and 108.\nAnswer: 19332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:09 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*w + 60, 0 = 4*d - 3*w + w - 96. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 18*w**2 + 0*w**2 + w.\nAnswer: 25*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5890\/93)\/(-19)*9\/(-1)*-1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let w(j) be the first derivative of -15*j**2\/2 - 3*j + 34. What is m(w(t))?\nAnswer: 15*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 43*w - 257*w - 619*w - 2 in the form o + b*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38029*d - 75763*d + 38252*d.\nAnswer: 518*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4*n - 21. Let j be c(-3). Suppose 11*h - 374390 - 1172507 = j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35383?\nAnswer: 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -3, 1 in ascending order.\nAnswer: -4, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592275329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3520 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*2*sqrt(190) - sqrt(190)) + 6*(2*sqrt(190) - sqrt(190)))\/(2*2*sqrt(250)).\nAnswer: -3 + 11*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from swabf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11175 is divided by 167?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 2*f**4 - 3*f - 12*f**2 - 1 + f + 3 - 1 to n + p*f**4 + z*f + o*f**2 + l*f**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 538230992.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.079 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598 + 598 - 25*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10008, 20029, 30050?\n\"Answer: 10021*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*n + 5278 = 297*n - 4712. Is 326 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22776\/(-219))\/((-10)\/(-5)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 398635\/3 at most 132879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770831.\nAnswer: 17, 45343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.2 - 37. Let w = 7\/48 - -157\/240. Which is the smallest value? (a) 0 (b) w (c) g (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/136)\/(3\/24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -34, -22, -6, 14, 38?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4 + (1 - 2 + 0)*(1 + 1 - 3))*(2*n**2 - 2*n**2 - 2*n**5).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*20\/2. Suppose 2*l - t + 21 = 4*t, -t = n*l - 15. Suppose -3*v**l - 4*v**2 - 4*v + 5*v**2 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(637)*-5*-5 - sqrt(637)))**2*-6.\nAnswer: -2201568 + 8064*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12630\/(-24) - (-1)\/4. Let k be p\/651 - 1\/(-3). Let y = k + -3\/31. Find the common denominator of y and 33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = -77*l + 416 - 207 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15871252, -15871264, -15871274, -15871282, -15871288, -15871292, -15871294?\nAnswer: -15871294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80616 + 80616 - 2*f**2 - f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -33\/10 (b) -9 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + g)*(-38 - 35 + 59)*(3 + 1 + 4).\nAnswer: -112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*(-336)\/70. Let t be ((-3)\/(-2))\/((-12)\/s). What is the second derivative of -6*d - 11*d**2 + 18*d**2 + 4*d**t wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.102798 * -70\nAnswer: 7.19586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 10}. Give prob of picking 2 w.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -18.1 (c) -28 (d) -6 (e) -3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209 = 239*o + 215*o - 423*o for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309 - 65*p**2 + 309)*(-3*p**2 + 0*p**2 + 4*p**2).\nAnswer: -65*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2093 + -2092.848. Round m to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, e: 2, c: 2}. Give prob of picking 1 n and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 - 4*z**3 + 136 - 136.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24120.7117 rounded to the nearest integer?\nAnswer: -24121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 39 (b) 4 (c) 5 (d) 961 (e) 3 (f) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/9 - 2\/(-3). Let b(y) = y**2 - 6*y - 8. Let t be b(8). Suppose g**4 - g**5 - t + o = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*((-1281)\/8052)\/((-14)\/4).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o + o)*(3*o + 0 + 0 + (2 - 4 + 0)*(-2*o - 2*o + 0*o) + 3*o + 2*o - 3*o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 8, z: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44.725 + 39.2288. What is j rounded to one dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**3 + 0*h**4 + 0 + 0*h**5 + 2*h**2 - 1\/6*h**6 - 6*h. Differentiate o(w) with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320790?\nAnswer: 2, 5, 232079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x\/((x\/(x\/((x**(3\/13)\/x)\/x)*x))\/x)*(x**(-2)\/x)**(10\/7))**(-38) assuming x is positive.\nAnswer: x**(-29336\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjkzkgo. What is prob of picking 1 z and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 5504.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -0.06.\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 342715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c**2 + 0*c + 2\/3*c**3 + 83. Let n(m) = 34*m. What is n(p(v))?\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 6*(-10)\/(-52). Suppose 3554 + 438 = -84*l - 914*l. Put -3, l, z in ascending order.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12878.01t?\nAnswer: 12878010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41*73\/(2762539\/(-26))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*m**2 - 3 to the form g*m**2 + f + l*m and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*k + 10 = -5, 0 = 3*d + 5*k + 15. Suppose -3*u = 15, -2*c - 2*u - 3*u - 35 = d. Suppose -169*p = -149*p - 60. Sort c, 4, p, -9.\nAnswer: -9, c, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -29?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(-44*61\/34892)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-20))\/(1146\/1910))\/(9\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929617717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3 + 1. Let n(u) = u + 5. Let f be n(-5). Sort f, 1, o.\nAnswer: o, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-352)\/18 + (-784)\/1764)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*r**4 + 4*r**4 + 9 + r**3 + r as b*r**3 + q*r + o*r**2 + i + a*r**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258930054074 + 0.1?\nAnswer: 0.358930054074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/3 + 196*o**4\/3 - 896*o**3 - 138752*o**2\/3 + 1490944*o\/3 - 802816 = 0. What is o?\nAnswer: -24, 2, 8, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(-12 + 2). Suppose 4 = -2*p - 2*m, k*m + 3 = -2*p + 5. Which is the nearest to 1? (a) p (b) 2 (c) -0.04 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q - 5. Let a = -26 + 33. Let c be d(a). Suppose -6*g = -5*z - 3*g + c, 3*z = -g + 60. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49968\/90 + 2\/(-10) + -4 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -978, -4, 3, -2, 5, 7 in ascending order.\nAnswer: -978, -4, -2, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c - 46. Let d be 4\/10 - (-1 + (-1308)\/30). Let f = d + c. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.12 (b) 2\/53 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let n(a) be the third derivative of -9*a**4\/8 - a**2 - 30. Determine n(r(u)).\nAnswer: -54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h + 33. Determine p(-13).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.49 + 5.49. Are 460 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b**2 - 3*b - 4. Let s be o(-1). Let u(h) = h**3 + 18*h**2 - h + 3. Let i be u(-18). Is s at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*d - 228*d - 233*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8) + 21\/(-4). Let k(h) = h. Calculate k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*(-12)\/(-9)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*s + 60. Suppose 5*n = -2*i + 31 + s, -i = -5. Calculate the remainder when 33 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189172 plus -1328272.27?\nAnswer: -1139100.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2611, -2610, -2609?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5328\/4440)\/((-4)\/5)*(-212)\/(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 24764.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246 - 2500 + 1254 + 333*c**2.\nAnswer: 333*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 26801*f + 26801*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4427*u + 2218*u + 2216*u + 5)*(-14 - 41 + 3) to the form h*u + w and give w.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0888 to 2 dps.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -134. Let b = v + -46.59. What is b rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/20*(-774)\/215?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189573486?\nAnswer: 2, 3, 31595581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2775 - 4605 = -205*m for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41416 and 3674.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008268486 rounded to 6 decimal places?\nAnswer: 0.000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3827213 rounded to 3 dps?\nAnswer: -4.383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 11*v + 11. Calculate x(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5 - 16 + 19 + 31*l. Let y(h) = -7*h. Give r(y(d)).\nAnswer: -217*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + 2*t)*(-245*t**2 - 164*t**2 + 12*t**2).\nAnswer: -794*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -42.\nAnswer: -31\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*q - 1577 = 0, 1572 = 162*v - 159*v - 3*q. What is the highest common divisor of v and 2240?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**4 + 18*m**4 - 12*m**4 - 9*m**3 + m**2 + 3*m**3 as d + a*m**4 + x*m + c*m**2 + r*m**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 610*i**3 - 2 + 15670*i**2 - 15670*i**2 to the form l*i + h + s*i**2 + x*i**3 and give x.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*s - 56, p + 2*s - 130 = -3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5502 times -0.08\nAnswer: -440.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14004834*f**3 - 1686045*f wrt f.\nAnswer: -84029004*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4, 9, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvhvhvvmgvgvv. What is prob of picking 2 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4514\nAnswer: -9028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3706955044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 20043 = 94157. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113224 (base 7) to base 16\nAnswer: -4f81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 5, 4, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - 34?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 5*a + 5. Let g be r(5). Suppose g*x = -x. Suppose 0 = -u, x = 2*l + 4*u - 3*u - 6326. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -69461 (c) 2 (d) -5\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4 - 420*v**3 + 6095*v**2 - 27120*v + 21440 = 0?\nAnswer: 1, 8, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*o + 201*o + 204*o.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2200012100020?\nAnswer: -2200012100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-4\/5)*d\/(d\/(d**(1\/5)*d*d))*d*d*(d\/d**(2\/19))\/d)\/((d**(-3\/2)*(d\/d**(-5\/4))\/d*d)\/(d**(-1\/5)\/((d*d**(-3\/5))\/d))) assuming d is positive.\nAnswer: d**(2031\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*b + 2*t, 5*b + t = 4*t - 29. Let j be (1 + -1)\/(12\/b). Suppose -x + j + 10 = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 2. Let m be d(-2). Suppose 5*t = 20, -m*k + 3*t + 8 = -0*k. Solve 2*g = k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 2. Let p = 12 + -5. Let r(o) = o**2 - 6*o - 2. Let s be r(p). Give y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Let j(i) = i**3 + i**2 + i + 4. What is the remainder when j(0) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(1188\/(-126))\/(-22)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8816\/10868)\/29*11\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/35)\/(((-88)\/(-56))\/11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:55 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34175911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -15 - (-3 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from uemwete?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429 - 282. Let j be (1 - 352) + (5 - 2). Let s be j\/(-16) + 6\/(-8). What is the highest common divisor of w and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1, -3, 5, 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from aaaagaaagga.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y - 2084 = 3*q, 2068 = -4*q + y. Let o be 8\/(-44) - q\/660. Factor 18\/5*z - 27\/5 - o*z**2.\nAnswer: -3*(z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 86 + 66. Suppose -4*k + 680 = -2*s, -s + 395 + 462 = t*k. Find the common denominator of -3*6\/k + (-6)\/8 and -9\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 16*r - 19*r + 31, 0 = 2*r - 3*w - 23. Let q(y) = 27 - 3*y - 5 + y. Let i be q(r). Are i and 12\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000693068647 rounded to 5 decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.059 in 1\/5, -1\/397, 2?\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1518.8 and -5.35.\nAnswer: -1524.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x**2 - 90*x**3 + 29*x**2 - 42*x**2 in the form o*x + r + v*x**2 + g*x**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9109, 36437, 81983, 145747, 227729, 327929?\nAnswer: 446347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14eb14a + 2?\nAnswer: -14eb148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*106.5253\nAnswer: 1.065253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 6*o. Suppose -28 = -o*y + 22. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176631507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(66) + -1*sqrt(66)*-2)*3)\/((sqrt(6) - (sqrt(216) - -4*sqrt(216)) - sqrt(6) - sqrt(6)) + (sqrt(486) - sqrt(6))*-5).\nAnswer: 9*sqrt(11)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 3}. Give prob of picking 1 b and 2 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/7)\/(-7*(-3)\/(-1617)). Factor 49*n + 265*n - 61*n**2 + 76 + 4*n**3 - 90*n + 9*n**2 - u.\nAnswer: 4*(n - 5)*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Which is bigger: t or 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6819 - -6818.9. Put -28, k, -1\/2, -0.4, 5 in increasing order.\nAnswer: -28, -1\/2, -0.4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 531108.829514 + -531106. Let n = i - 2.83. What is n rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395930617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261 and (1\/(-4) - (-3)\/(-12)) + 349\/2.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 1270\/7. Let y(t) = -t**3 + t**2 - t + 1. Let r be y(0). Let z = -14 + 10. Which is the closest to -1? (a) z (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 3*d**2 - 3*d - d**2 + 0*d to the form n*d + m*d**2 + x and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 241*g - 657*g - 391*g.\nAnswer: -1289*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 46 = 11*l - 10*l + 3*w, 0 = -71*l - 5*w - 1516 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135649828*a**3*n**2 - 6*a**3*n + 3*a**3 - 2*a**2*n - 19290*a**2 wrt n.\nAnswer: 271299656*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -1007a0?\nAnswer: -1007ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 62. Let f(j) = -100*j**3 + j**2 + 6*j**2 + 204*j**3 - z - 103*j**3 - 4*j. Determine f(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(24)\/sqrt(4))*-4)\/((sqrt(900)*3)\/sqrt(6)).\nAnswer: -4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*u + 20, 4*u - 17 = -4*v + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iisk when four letters picked without replacement from ipoipiiikkkiiisiisk.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/4)*y)\/(y*y**(-6))*(y*y**(-2\/11)*y)\/(y**(-3\/5)\/y) assuming y is positive.\nAnswer: y**(2127\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/11*y**2 + 14*y - 44 + 2\/11*y**3.\nAnswer: 2*(y - 2)*(y + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 5:39 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/206? (a) -2\/15 (b) 3\/4 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -32746.04059 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4628584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 53*o + o**3 - 3 + 61*o - 110*o - 2 + 5*o**2. Suppose x + 6 = 2. Give b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4141 - 57927\/14. Let i be 2\/5*(-1107290)\/(-88). Let d = 5034 - i. Find the common denominator of l and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3849153 and -3.\nAnswer: 11547459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.17, 1\/19, 0.5, 3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -17) + 8 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23271149 is divided by 433.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from qqqqroqoqqqqoqrqqrrq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 391*w = -387*w - 472, w - 490 = -2*m. Calculate the greatest common factor of 272 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 5, 28, 93, 218, 421, 720?\n\"Answer: 3*c**3 - 6*c**2 - 4*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:31 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 72, 155, 268, 411, 584?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 261.\nAnswer: 10\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -93*x**3 + 15*x - 11. Let g = 10501 - 10490. Let h(d) = 47*d**3 - 8*d + 6. Calculate g*h(v) + 6*w(v).\nAnswer: -41*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1009, 1281, 2021, 3463, 5841, 9389?\n\"Answer: 39*u**3 - u + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/126 - 2*a**7\/315 + a**6\/48 + a**5\/45 + a**4\/144 + 4*a**2. Determine j, given that v(j) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**8\/8 + s**6\/120 - 1837*s**5\/60 + 1758*s**2. What is the third derivative of p(u) wrt u?\nAnswer: -2520*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -51 - 4 - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*n = -n - 11, 0 = -4*i + 3*n + 22. Let h = i + -4. Solve 10 = 2*p + h*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023803 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10252873864 minus -28?\nAnswer: -10252873836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let f be (-528)\/60*10\/(-4). Suppose 2*c - c - 11 = 5*v, f = 2*c - 5*v. Suppose -5*d + c = -19. Calculate k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -254. Let d = s + 218. What is the biggest value in -20, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 46 = -12. Suppose -4*k = -z + 21, -3*k = -5*z - 5*k + j. Suppose -4*b = -z*s + 412, -8*b + 3*b + 145 = 2*s. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 + -348. Which is the nearest to 1\/3? (a) 0.8 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5086*a + 5130*a - 132 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 240 - 3*q + 240 - 2*q. Let i(a) = 3645*a. Give h(i(j)).\nAnswer: 7290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -534911?\nAnswer: -534911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88561 divided by 1?\nAnswer: -88561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 72205.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203575 and 1099305?\nAnswer: 5496525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -12) + (21 - 24).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*14.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**2 - v + 7. Let z = -20 - -19. Let f be 2\/4*z*(0 - -6). Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -69*y**2 - 535*y - 767. Determine f(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 = 3*h, 1 + 4 = 5*v. Let s be h + (-2)\/(-2)*4. Suppose -f + s = -4. Solve f = 5*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 9*s - 14. What is the second derivative of -23*p - 15*p**s - 217*p**2 + 6*p - 4 - 3*p wrt p?\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 203290.5.\nAnswer: 203290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9228 - 9294. What is the third biggest value in u, -5, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-3)\/sqrt(9) - sqrt(2))**2*-4.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*v + 19, 0 = -0*v + v + k - 2. Let i(s) = 2*s - 5. Let o(c) = -c + 1. What is v*i(b) - 4*o(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 29724d?\nAnswer: 29726a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13126*a + 4. Let q = 10 + -14. Let u be h(q). Let x be 84\/((-52497)\/u + -1). Round x to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -80407429 divided by -6\nAnswer: 80407429\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*y - 5*y - 9*y)*(-2 + 0 + 0 + (-2 + 0 + 4)*(4 - 3 + 1) - 4 - 1 + 4)*(17 + 52 + 20).\nAnswer: 979*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3 + 3)*(6*q**2 + q - 8*q**2 - 2 - 2*q).\nAnswer: -6*q**4 - 3*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.13801089 to three dps.\nAnswer: 2.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 6*t + 4 + 3 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20443 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 64 = -2*c, 4*c - 8 = 0. What is the remainder when (-166)\/(0 - 3 - -1) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -8 - (17 - (-2 + 4 - -5))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 296*s + 1882 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.353 plus 1235?\nAnswer: 1293.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 15*p**2 - 1 + 10*p**2 + p**2.\nAnswer: 29*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3376 = 2*z - 4*k, 0 = -3*z - k - 2528. What is z rounded to the nearest ten?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 95*h - 638. Let k be s(22). What is the nearest to 1 in -8, k, -1\/112?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/18)\/(46\/(-138)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*z - 1677 + 1990 - 4564 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(119) + -1*1*sqrt(119)))\/(sqrt(70)\/(-4*-2*sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 77*b - 2172. Calculate the remainder when x(33) is divided by 335.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:05 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48837500, -97675019, -146512528, -195350021, -244187492, -293024935, -341862344, -390699713?\nAnswer: -439537036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(125) - sqrt(5) - (sqrt(5) - (sqrt(80) + -2)).\nAnswer: -28*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9704363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i - 2*f, 3*f - 4*f + 10 = i. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.97 + -0.0579. Let f = t + -122.9662. Let c = f + 149. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 9, o: 1}. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**2 + 3096*k - 1236 = 0. Calculate k.\nAnswer: 2\/5, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-1)*18\/24. Find the second derivative of -2*p**3 + 6*p**3 + 2*p + b*p - p**3 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*p = -140, 3*t + 87 = -p - 7. Let h be 3\/16*-4*32\/t. Which is the second smallest value? (a) 5 (b) h (c) -2\/9 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 188\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2101100110221?\nAnswer: 2101100111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhuh. Give prob of sequence hhuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -92. Let r = 28 + x. Which is the biggest value? (a) r (b) -5 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 4. Let v be o(3). Solve 2*q + c = -1, -q - v*c - 8 = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 + 10*p + 408516*p**3 - 25*p**4 + 408563*p**3 - 35*p**2 - 817034*p**3 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 23*l**2 + 5*l - 2. Let p(o) = -20*o**2 - 5*o + 2. Let f(s) = -7*p(s) - 6*t(s). Let i(y) = y. Calculate f(h) - 6*i(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 - (-4 + 3)*1. Suppose -7*q - 5*x + u = -4*q, -5*q - 2*x + 8 = 0. Which is greater: -2\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 25*i**2 + 7*i - 20*i**2 + 74*i**2 to o + a*i**2 + g*i and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boowtbotbttooto. Give prob of picking 1 b and 1 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-20)*(h**(-1\/3))**1)\/((h**(-6)\/(h**(-1\/3)*h))\/((h\/h**(3\/5))\/(h\/(h**(4\/5)\/h)*h))) assuming h is positive.\nAnswer: h**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1042 divided by 521\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107*t**2 + 7184*t + 16334571 wrt t.\nAnswer: -214*t + 7184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 23. What is f(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 370.699 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 7*f + 14. What is the least common multiple of n(8) and 59?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24061.455 months to years.\nAnswer: 2005.12125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -176, -255, -332, -407?\n\"Answer: p**2 - 84*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11314 (base 7) to base 13\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, y: 3, h: 7}. What is prob of picking 3 h and 1 a?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z - 12. Suppose z*i - 19 = -0*i + a, 2*a = 4*i - 18. Solve o + 3 = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca9 + 4?\nAnswer: cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -15953, 3, -2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230159\/40920 - -2\/5115. What is the common denominator of ((-2)\/3*1)\/((-116)\/1073) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*l + 26 = -19, 4*j + 36 = 2*l. Let y be 60\/8 + j - (-233)\/2. What is y rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6807 - 1740 - 1689 - 1702 + x - 1676 + 5*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 16 = -4*y. Suppose -r = -s + 81 - y, 249 = 4*s - r. Calculate the remainder when s is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 - 5 = -133*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -32 + 0 + 2 + 0 + 0. Is (4\/(-3))\/(t\/3825) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98, -186, -266, -338, -402?\n\"Answer: 4*g**2 - 100*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242021\/5 at most 248405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566966.\nAnswer: 2, 197, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Suppose -3*f + 16 = 2*f - 2*o, 10 = f + 3*o. Let i be c(f). Suppose 5*t + i*a = 45, -2*t = -4*a + a - 38. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/50 and -37\/40110.\nAnswer: 200550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11796 + -11607. What is the remainder when 907 is divided by r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - m - 55 - 8 - 18 = -25*k, 5*m - 2*k = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12259 to three dps.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/5 smaller than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 225, 648, 1257, 2052, 3033, 4200, 5553?\n\"Answer: 93*k**2 + 144*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -3, -0.1, 553?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38141834 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 405*k = -410*k + 1519415, k - 1012934 = -2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103232 + 3?\nAnswer: -103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 + 0*y**4 + 4*y**4 + (-3*y**4 + 6*y**4 - y**4)*(-2 + 2 + 2))*(-6 - 36 + 12).\nAnswer: -60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**(-23\/2))**(-10\/3) assuming i is positive.\nAnswer: i**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:23 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = g - 1427, 0*g + 3*g = 2*x + 4331. Suppose 3*j - 6154 = 3*r - g, -7841 = -5*j + 4*r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*-2*-6)\/((sqrt(176)*-4 - sqrt(176)) + sqrt(176) + sqrt(11)))**2.\nAnswer: 2057\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -574, -542, -464, -322, -98?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2076 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(20\/3))\/(6\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0106 minus -1237497?\nAnswer: 1237496.9894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -2 - (-5 - (3 + -1))) + (-70 - -42)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*q**3 - 6*q + 1 - 3 + 25*q**4 - 146*q**3 in the form j + b*q**4 + s*q**3 + z*q + k*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.406987948 + 5.8.\nAnswer: 4.393012052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -19890000 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 73*x - 75*x - 10, -w + 4*x + 20 = 0. Suppose 1\/7*z**5 - 1\/7*z + 2\/7*z**4 + 0 - 2\/7*z**2 + w*z**3 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d - 2245 + 4170 = 49*d - 2683 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2 - 7. Suppose q = -j - u - 4, -5 = j + 3*u. Let n(f) = f**3 + 7*f**2 - 16*f + 18. Let b be n(j). Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 15. Let f be -1 - ((3 - 1) + k). Let u be (-6)\/(-4)*f\/(-12). Put -0.4, -2, u in ascending order.\nAnswer: -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 1 - (sqrt(95)\/sqrt(5))**2*2.\nAnswer: -37 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -21*x**2 + 1. Let d(v) be the third derivative of -v**4\/24 + v**2 + 2. Determine d(y(n)).\nAnswer: 21*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 320 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -1)\/((-3)\/(-9)). Let d = n - 9. Suppose 15 = 5*g - d. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = x + 283 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i + 1. Let k be q(2). Solve -2*a + 1 = -k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245475703?\nAnswer: 11, 22315973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:30 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175167 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vaaavkakvvavaavv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 858, -3, -1, -4, 1, -346 in ascending order.\nAnswer: -346, -4, -3, -1, 1, 2, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6174335 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Suppose 0 = -3*n + 11 + m. Let o = n + 3. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8648 and -1645077406.\nAnswer: -1645068758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/112325 or 0?\nAnswer: 1\/112325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4 + 6*w + 5*w - 9*w. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (568 - 587 - 86\/(-6))*(-16)\/(192\/126)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1699, 3381, 5063, 6745?\n\"Answer: 1682*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72839 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25\/200)\/(126\/(-392)) and 17\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 78 + (-108 - -95) + 2 + -1\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 6:48 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*y + 7415 + 8990 + 2671 = -14*y for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3822958 - 1904407 - h**3 + 1927365. Let l = 81 + -81. Let g be r(l). What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 4*l + l)*(668 - 1338 - 130*l + 665).\nAnswer: 130*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137723723 + -0.5?\nAnswer: 137723722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -1\/12*k**4 + 0 - 2\/3*k**3 - 3\/2*k**2 + k. What is d(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-28)\/(-4))\/(3\/(-99)). Let c = 298 + v. Let q(p) = -6*p**3 - p**2 + 1. Calculate q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let h = 13\/2 + -29\/4. Which is the closest to -1? (a) h (b) -1\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 5. Calculate n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9*1.812\nAnswer: -16.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20*n - 11. Let i(b) = -7*b - 4. Let y = -2 - -2. Let j = y + -4. Let l(a) = j*v(a) + 11*i(a). Let c(k) = -k**2. Determine l(c(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, 3, -36, 275 in decreasing order.\nAnswer: 275, 53, 3, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 12. Let q be r(-12). Let o(j) = -1 - 4 + 0 - 9*j + q*j. Determine o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2*m**3 + 3*m + 7. Find the first derivative of j(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1269, 2527, 3785, 5043, 6301?\n\"Answer: 1258*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/80)\/(44 - (-13969)\/(-305)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 619 - -161. Let i = b + -791. Sort i, -2, 3, -4 in ascending order.\nAnswer: i, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/(-51)*(-1 + (-10)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*k = -3*k - 16, -12 = 4*f - k. Let r = 0 + 0.1. What is the closest to f in r, 0.2, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, 9.3, 2, -10, -0.2, -4 in descending order.\nAnswer: 9.3, 3.1, 2, -0.2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-354))\/(-2))\/((34\/(-18))\/((-1751)\/(-309))).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200102012210 - -12?\nAnswer: -11200102012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 11}. Give prob of picking 4 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -2\/115 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*f - 2456, -324*l - 1229 = -325*l - 2*f. Does 49 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 6*n - 2*n - 6*n - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5*(-7)\/(-35))\/(2\/1386). Calculate the highest common divisor of n and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604.4 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/6 and ((-7)\/(-24))\/((-951)\/(-156) + -6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7786195*l**3*y**2 + 3*l**3 + 2106*l*y**2 - 1193*y wrt l?\nAnswer: -46717170*l*y**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-224)\/(-76))*-2*1123\/4492.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9) - (-728)\/1008) + -2 + -1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 5*u + 9. Let d be l(-5). Suppose -2*o + 5*y + 2 = 9, -4*o - d = -5*y. Let v(m) = -2*m**3 - m**2 + m + 1. Calculate v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165671959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 193. Let f(i) = 3*i**2 + 11*i - 4. Let a be f(-4). Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/4 - 2)\/((-10566)\/108) and -55\/6.\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64, -142, -280, -496, -808, -1234?\n\"Answer: -3*b**3 - 12*b**2 - 21*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2760\/17 (b) 0.4 (c) 2.602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144415916 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-17 - (-52 + -5 + -20)) + 17)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 94. Let b(c) = -c + 47. Give 14*b(o) + 6*g(o).\nAnswer: -2*o + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 191*x + 536 = 4496 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 41*v + 22. Let t be k(21). Let s be (-11 - 57) + (t - 1) + 1. Which is bigger: s or -68?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/7 - (-10)\/(-70). Let i(y) = -y**3 + 8*y**2 - 5*y - 10. Let x be i(7). Let l(k) = x + 1 - 6 - 7*k. What is l(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1804*r - 10931. Calculate h(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n + 164*n - 76*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261109.\nAnswer: 1261109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36467.9 - 36468. Which is the closest to s? (a) 0 (b) -2\/17 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 55338*g**2 - 553230*g + 1382950.\nAnswer: -2*(g - 27659)*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 8896530*d**2 - 71172000*d - 142343840 = 0. Calculate d.\nAnswer: -1779298, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2300 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-14))\/(2\/7). Calculate the highest common factor of m and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 6562674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.120989mm to meters.\nAnswer: 0.008120989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67807021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 4, j: 1, w: 4, b: 1, n: 4, s: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21751, 21578, 21407, 21238?\nAnswer: 21071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 5*l, 0 = 50*w - 46*w - 2*l - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**4 + 30028*l**3 + 7*l**2 - l + 2244 wrt l.\nAnswer: -72*l + 180168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 + 37*d**2\/2 - 3*d - 15. Calculate r(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-14 - -2)) + 1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 58*j - 4 - 2)*(-4*j + j**2 + 4*j)*(-7*j**2 - 2 + 2).\nAnswer: -406*j**5 - 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 59358 - 12864. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100150 (base 10) to base 2.\nAnswer: 11000011100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2)\/sqrt(9) + -4 + 0 + -5)**2 + -5.\nAnswer: 152 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -63 (b) -0.14 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j + 5. Let q(v) = 8*v - 4. Give -7*a(p) - 6*q(p).\nAnswer: p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7865687 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24))\/(77\/(-77))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 24, 38, 20, -54, -208, -466?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 33242664.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*h, 0 = -5*j - 3112*h + 3114*h + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -382 and -92893 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 934.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11\/2 (b) -5 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1262630100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 13. Let d = v - -11. Let o be (d\/(-5))\/((-60)\/50). Which is the nearest to -0.1? (a) o (b) 3 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-2\/13) assuming m is positive.\nAnswer: m**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 431 - 125 + 3*t - 121.\nAnswer: 3*t + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 6*t + 12*t + 84, -129*b + 128*b = 3*t + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -23.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/(1\/(-2)). Let m = -18\/65 + 1\/13. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k**3 + 16*k**3 + 13*k**3 + (-1 + 4 - 1 - 2 + 5 - 2 + (2 - 2 + 1)*(2 - 4 - 1) - 1 + 0 + 3)*(-k**3 + 2*k**3 - 3*k**3))*(25 + 5*k**2 - 25).\nAnswer: 205*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 60\/(-4))\/1. Let i = 9 - k. Let m(h) = -13*h**3 + h**2 - 7*h - 2. Is m(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 2*v - 4*v + 7*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-38 - (1 + 18)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 31*q**2 + 63*q**2 - 2*q**3 + 1 - 33*q**2 to t*q**2 + z*q**3 + h + i*q and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16244276 + 3177003\nAnswer: -13067273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (86\/4 - 2)\/(36\/96). Suppose -3*a + 122 + x = 0. What is the remainder when a is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 - 142*k**2\/11 + 258*k - 990.\nAnswer: 2*(k - 33)**2*(k - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3384479 and 7497?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-90)*720\/16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32283621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133.02 - -213.1. Let k = -80 + m. Sort 3, k, -5 in increasing order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 7*m**2 - 11*m**2 - 4*m**3 + 2*m**2 - 2*m to v + r*m**2 + h*m**3 + s*m and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y*y**(-1\/13))\/y*y*y**(-1\/15)*y*(y\/y**8)**(-41\/5))**(9\/5) assuming y is positive.\nAnswer: y**(7167\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 - 376*v**2\/3 - 2622*v = 0.\nAnswer: -19, 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1946\/30 + 124\/930. Suppose -d = -16*q - 33. Solve -4*c = -2*w - 4, -q*w = -c + 4*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5364, 1577, 13138, 29313, 50096, 75481, 105462, 140033?\nAnswer: 179188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -22818.6.\nAnswer: 114093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 7. Let m(o) = -o**3 + 4*o**2 + 6*o + 19. Let n be m(6). What is the smallest common multiple of t(n) and 51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 2*y**2 - y - 2. Let t be o(-1). Suppose 3*q + 12 + 23 = 5*x, t*q = x + 10. Let f = 144 - 64. What is the greatest common factor of f and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 5\/30*-3 - 81\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 + 2582356874\nAnswer: 2582356873.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-612) - (-46)\/(-391).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 + 221*q**4 - 3134*q**3 + 9064*q**2 = 0.\nAnswer: 0, 4, 11, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*v**2*y**3 + 2*v**2*y**2 - 7*v**2*y + v**2 + y**3 - 5*y**2 + 2*y wrt y.\nAnswer: -66*v**2*y + 4*v**2 + 6*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 36*f - 4. Let u(j) = -j**3 + 13*j**2 - 14*j + 17. Let t be u(12). What is the smallest common multiple of p(t) and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) -2 (c) 4 (d) -547.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + (-9)\/(-3). What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.75*846.56\nAnswer: -4021.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14855*c**3*z**2 - 13421*c**2*z**2 wrt c?\nAnswer: -89130*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1349 + 1793. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -7\/24*o**4 + 0 + 0*o + 270*o**2 - 5\/2*o**3 + 161\/60*o**5. What is the second derivative of h(g) wrt g?\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -698\/5 + 140. Suppose 0 = -d + 2*d - 4. What is the closest to -0.03 in 0.1, d, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -109. What is the greatest common factor of 172 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23088 by 296.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442185 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2. Suppose -136 + 136 = -9*b. Let s(h) be the second derivative of b - 1\/6*h**4 + 0*h**3 + 0*h**2 + 3*h. Calculate f(s(d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(98\/7)*1*(-70)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.76035907.\nAnswer: 0.380179535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 4*t. Let m be 3 + (4\/(-4) + 2 - -2). Is t less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(243) + 0).\nAnswer: -18 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5920 and 82695.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6241\/72 - -851\/9. What is the common denominator of -97\/4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k + 11. Let x be v(-4). Suppose 2*s = -f + 3423, 10 = x*s - 5*s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 41*v - 544. What is q(13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4422 + -7.5578. Which is the third biggest value? (a) 2\/35 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14545586?\nAnswer: 2, 11, 113, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (152\/57)\/(4\/6). Suppose 4*b = -3*s + 25, -o*s = -2*s - 2*b - 40. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + (-129)\/9 - (-13 + (3 - -4))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 5*y**2 - 7*y - 12. Let j be t(-6). Suppose 0 = 35*o + 16*o - 816. What is the remainder when (-4086)\/(-54) - 2\/j is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -1216, -1779?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 5*l - l. Let j(h) = h**2. Calculate d(j(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 + 30632*y**2 + 77179904*y + 53614903296 = 0. Calculate y.\nAnswer: -12372, -1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-261)\/(-30))\/(1938\/10) and 9\/95.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 - (7 - -31 - 97)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 - 13*f**2 - 206408 + 206408.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 12*q**2 + 14*q + 35. Let c be v(-11). Let g = 0.768 + -0.783. What is the closest to 0.1 in c, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600*u - 775*u - 308*u.\nAnswer: -2683*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -637385601063?\nAnswer: -637385601063.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {m: 4, q: 2, x: 1, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 1, l: 1, y: 1, d: 2, t: 2}. Give prob of picking 1 l, 1 s, and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -10*k - 2*z - 5, -7 = -k + 2*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.8 - 8. Let r be (-8)\/3*(1 - (-7)\/14). Which is the third biggest value? (a) i (b) r (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q - 113*q = -3*c - 93, 0 = -3*c + 2*q - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100563077?\nAnswer: 3, 127, 2888617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -112417202 divided by 2659?\nAnswer: -42278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 52680106.\nAnswer: 52680106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 74830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.059 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/3 + (-1 - (3 - 4)). Let u(i) = i**3 - 8*i**2 + 6*i + 10. Let w be u(m). Suppose -8*z = z - w*z. Solve 4*r - 2 - 2 = z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16035557, 16035560, 16035573, 16035602, 16035653?\nAnswer: 16035732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -869, -1910, -3125, -4508, -6053, -7754, -9605?\n\"Answer: f**3 - 93*f**2 - 769*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/3 + j. Let p(l) = 712*l**2 - 161*l**2 - 289*l**2 - 274*l**2. Calculate u(p(v)).\nAnswer: 576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((240\/25)\/4 - 2760\/650)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:43 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0, -5, -1 in decreasing order.\nAnswer: 4, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092 + 212 - 100 - 5*i.\nAnswer: -5*i - 980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159465, -319329, -479193, -639057?\nAnswer: -798921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 2\/19 + (-11536)\/2736.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -9434790?\nAnswer: -9434791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krkj. What is prob of sequence rkj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 9093?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2532671*o**2 + 2*o - 116341?\nAnswer: 5065342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 848*f**2 - f + 154*f**2.\nAnswer: -694*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8370 - -8368.692. Which is the biggest value? (a) d (b) 0 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28)\/(sqrt(8)\/sqrt(2)*6))**2.\nAnswer: 2*sqrt(7)\/3 + 151\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**3 - 37*h**2 - 10*h + 2. Let w(a) = -a**3 - 9*a**2 + a. Determine -i(l) + 5*w(l).\nAnswer: 5*l**3 - 8*l**2 + 15*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9140 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: Which is the fourth biggest value? (a) -19 (b) 0.2 (c) -2\/15 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107242.15 rounded to the nearest ten?\nAnswer: 107240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30131044 (base 5) in base 3?\nAnswer: -110011120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = u + 98, -4*x + 12*u + 131 = 11*u. Let w be 0 - (-71 + 0) - 1. What is the second derivative of -x*c**3 + w*c**3 - 43*c**3 - 19*c wrt c?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137684 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.01 (c) -3\/22 (d) -2.5 (e) -9 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -268.84569612 rounded to 2 dps?\nAnswer: -268.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 3*u = -14, 0 = 2*r + 2*u + 10. Let t be 16\/58*r\/4. What is the smallest value in t, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*g - 2*y, 126 - 28 = g + y. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 3. What is the highest common factor of y and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*r + 142*r + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26661357.7 minus 0.5?\nAnswer: -26661358.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 2*p - 4*p**3)*(6*p - p + 32*p + (0 + 0 - p)*(2 - 3 - 1)) as j*p**2 + u*p + l*p**4 + n + f*p**3 and give l.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -5, -4 in decreasing order.\nAnswer: -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2926011.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 29*t + 185. Let b = -266 - -260. Let d be r(b). Solve 4*q = -d - 9, -n + 2*q = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2533.9 - 2533.7. Let r = 29 + -121\/4. What is the smallest value in r, -1\/6, -1\/2, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 15*c - 325. Let h be b(27). Let d = 3\/175 - 817\/6825. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6088, 6074, 6046, 6004, 5948?\nAnswer: 5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 31*b**2 + 28*b - 130. Let s be h(-32). Let j(w) = -9*w**2 - 3*w - 5. Let q(k) = 9*k**2 + 2*k + 4. Determine s*j(c) - 3*q(c).\nAnswer: -9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:43 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*f - 22 = 0, 113*a - 3*f - 30 = 115*a + 2*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 8*k - 14. Let y be m(10). Solve 7*r**4 - 14*r**3 + 10*r**5 - y*r**2 + 4*r - 2 + 2 - r**4 = 0 for r.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 9. Calculate u(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 60*u + 242. Calculate q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7.4. Let x be ((-1)\/(-2))\/(2\/4). Which is the nearest to x? (a) g (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585217433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 5*f - 1471. Let s(t) = -3*t. Calculate s(g(y)).\nAnswer: 6*y**2 + 15*y + 4413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -428 - -842. Let p = b - 414. Solve -s - 7*s + 16 = p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r - 7. Give a(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 2, x: 4, v: 2, u: 2}. What is prob of picking 1 u and 2 v?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-447952)\/308 - 6\/33)\/((-2)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 3*u = 17*t - 10, 3*t = 5*u - 22. Let h be (9 - 4) + 2*t - 6. Put -1, 5, 10, h in descending order.\nAnswer: 10, 5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*k**3 - 29*k**3 + k**4 + (17*k**3 - 30*k**3 + 7*k**3)*(k + 2 - 2).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 125 + 9*v - v - 2*v + 5*v + 0*v + 2*v - 3*v + (1 - 2 + 3)*(2 + 2*v - 2))*(4*v**2 + 0*v**2 + v**2).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.12, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-12)*(3 + -2). Is -2\/43 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -66*y**3 + 43*y**2 - 2*y + 2. Let i(r) = -193*r**3 + 135*r**2 - 6*r + 7. Give 2*i(d) - 7*o(d).\nAnswer: 76*d**3 - 31*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -51, -57?\n\"Answer: -6*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 509*y - 542*y + 144507. Is 140 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16202867 + 3462\nAnswer: 16206329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/17? (a) 0.5 (b) 2\/17 (c) -0.07 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/2 + 13338249*p + 177908886386001\/2 = 0.\nAnswer: -13338249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3827 - -3831. Solve f + 5*k + 5 = -u*f, -k - 25 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*c)*(-75*c + 98*c - 206*c) to g + v*c**2 + u*c and give v.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -9) + (-33 - -26).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98984296.\nAnswer: 2, 193, 64109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 4, z: 6, i: 1, p: 2, q: 1}. Give prob of picking 3 k.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 - w - 1. Calculate g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a millennium in centuries?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 1. Let z(q) be the second derivative of q + 0 + 0*q**3 + 1\/12*q**4 - q**2. Let d be z(2). Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let d = -2 + 3. Let c(f) = 4 - 32*f - 119*f - 2 + 153*f. Suppose -2*z - 2 = -4*l + 2, -2*l = 3*z + 6. Calculate d*c(v) + z*u(v).\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9)*((-20)\/8 + 4). Let y be (-99)\/(-24) + t\/(-16). Let p(l) = -5*l + 3. Determine p(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -253, -366, -469, -562, -645, -718?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(33)\/sqrt(3) + sqrt(1584) + 0)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 0, 43, -13 in descending order.\nAnswer: 43, 0, -2\/21, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 35. Let s = -42 - a. Let k = 3.9 - -0.1. What is the nearest to 2\/3 in k, s, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*v + 0 + 3 - 2 + (0 - 1 + 2)*(-3*v + 2*v + 4*v) in the form w*v + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 10*f + 31. Calculate the remainder when 195 is divided by p(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7149915 bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/19, 2\/7, -2\/5, -0.07, -0.6.\nAnswer: -0.6, -2\/5, -0.07, 3\/19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/2, -3, 6, -2307, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 905, 1819, 2753, 3707, 4681, 5675?\n\"Answer: 10*o**2 + 884*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c7 + 1?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 + 168. Suppose -j*i - 89 + 803 = 0. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 31?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6127307802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -1.44?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 50 = -m - 2*f, 4*f = 3*m - 273. What is the greatest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 3*d**2 + 3*d - 2. What is n(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-735)\/(-210))\/(28\/88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.14 (b) 5\/4 (c) -0.1 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50999648)\/(-336) + (-2)\/3 - -9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10005845 divided by 2001169.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -2)\/(-7 - -8). Let w(h) = -4*h**3 - 2*h**2 + 3*h. Let m(j) = j**3 - j. Calculate y*m(c) + w(c).\nAnswer: -c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 41*q**2 + 134*q + 132. Let s be h(-44). Solve -a = -p - 1, 4*a + s*p - 37*p = 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10 + (8 - 28).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28986162 by 14493081.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25310*r - 25310*r + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 - 212. Let u be (2*-3)\/((-963)\/(-6)). Let d = u - 293\/749. What is the second biggest value in -13, d, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -33*g - 502 - 55*g + 2222*g**2 - 2225*g**2. Let m(b) = -3*b**2 - 90*b - 501. Let s(v) = -5*m(v) + 6*o(v). Let s(r) = 0. Calculate r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 - (0 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1, -8.6, -32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 17. Let a = -21 - k. What is the tens digit of 2\/(3 - a\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/7 - 17*l**3\/7 + 18*l**2\/7.\nAnswer: -l**2*(l - 1)*(l + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -576*u + 316*u + 254*u - 452*u**3 - 2*u**3 + 0*u**3 + 0*u**3 + (0 + 0 - 2*u)*(u**2 - u + u) as o + z*u + m*u**3 + g*u**2 and give m.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*x = -2*x - 10, 3*t - 12 = -x. Let s(u) = u**3 - 4*u**2 - 6*u + 7. Let q be s(t). Solve q*a = 4*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*1\/(-1))\/1. Let n(d) = -d**2 + d + 1. Let p = 6 - 5. Let h(b) = b**3 - 6*b**2 + 4*b + 3. Let i(u) = p*h(u) - 4*n(u). Give i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {t: 7, x: 5, a: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10728?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50132\/17516 + (-4)\/(-29) - 52\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 1, q: 6, v: 6, r: 1}. What is prob of sequence pfr?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6403 equal to -160.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + 1.3. What is the nearest to p in -1\/4, -1\/3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -83*v**3 - 12*v**2 - 37*v - 46. Calculate p(-2).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221332 - -2?\nAnswer: -221330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:08 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 19*c**5\/20 + 5*c**4\/12 - 2*c**2 - 94*c. Let y = -9 - -18. What is the remainder when t(2) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*q + 2*h + 21, -5*q = -5*h - 50 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 + 160*c**2\/7 + 162*c\/7.\nAnswer: -2*c*(c - 81)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 830027 divided by -31\nAnswer: -830027\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8486 + 18839. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 7, r: 1, w: 3, e: 1, b: 7}. Give prob of sequence ep.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 136. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -448 - 2?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 - 19*y. Let h(t) = 5*t**2 - 6*t. Give -4*c(q) + 11*h(q).\nAnswer: 4*q**3 - q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.5 + -297.5. Let k = -268 - n. Which is the second smallest value? (a) -1 (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -q - q - 3*f, 0 = -3*q + 5*f + 4. Let n = -6 + 6. Suppose 5*j - 5 + n = 0, 4*b - 5*j - 79 = 0. What is the remainder when b is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3311622664 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 473024 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1175, 2481, 3791, 5105, 6423?\n\"Answer: 2*x**2 + 1300*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.95 + 24. Let c = s - 54.05. Let v = c - -40.5. Round v to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0*w**2 + 139 - 2*w - 1\/2*w**4 + 0*w**3. Let t(g) = -4*g + 2*g - 4*g. Determine t(i(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -119*j + 4601. Let u be f(38). Solve 77*i - 2 = -4*x + u*i, 2*i + 4 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 16*k**2 + 26*k + 124. Determine r(18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)*s*s**(-2)*s\/s**5*s*s**(-2\/11)*(s**(4\/3)\/s**(-4))\/(s**(2\/9)\/(s*s\/(s**(-3)*s)*s)) assuming s is positive.\nAnswer: s**(92\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*3 + sqrt(21)\/sqrt(63))**2.\nAnswer: 1369\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 86, -7\/10, -0.4 in decreasing order.\nAnswer: 86, 0.2, -0.4, -7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/30*j**6 + 1\/6*j**4 + 0 + 4\/3*j**3 - 2\/15*j**5 + 0*j - 35*j**2. Determine a, given that q(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 342. What is the remainder when d is divided by ((-12)\/(-9))\/4*75?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u = -67*u + 73*u + 2870 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -848561*m**3 + 308294*m**2?\nAnswer: -5091366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(351\/486)*(-2)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*s + 28, 4*s - 11 - 21 = 4*i. Suppose 2 = 5*q - s*q. Let g(d) = -86*d**3 - 3 + q + 87*d**3 - 3*d + 0*d. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 58.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10743 is divided by 284?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65845329 and 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -171. What is the nearest to -4.1 in -0.3, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 420 or 5442\/13?\nAnswer: 5442\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -789 times 12961.21\nAnswer: -10226394.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444343\/132 + -13475\/4. Find the common denominator of 83\/21 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341646402 and 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.150434 * 0.3\nAnswer: -0.0451302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-3\/32)*(v**1)**13 assuming v is positive.\nAnswer: v**(415\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14511.919 minus -0.1?\nAnswer: 14512.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**3 + 7*j - 4. Let x(q) = 9*q**3 + 8*q - 5. What is -5*p(f) + 4*x(f)?\nAnswer: -4*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1257771 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.5, -6, -2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 35*m**2 - 36*m. Let f be a(36). Let v = 1 - 1. Calculate the remainder when 35 is divided by 7 + 2 + (v - f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -630, -975, -1332, -1707, -2106, -2535?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -103 (b) 5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137182530 to the power of 1\/2, to the nearest integer?\nAnswer: 11712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*u**2 - 7*u - 354 wrt u.\nAnswer: 14*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6429*f**4 - 62*f**2 - 2*f - 586521 wrt f?\nAnswer: 77148*f**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:47 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -304, -657, -1160, -1819, -2640?\n\"Answer: -p**3 - 66*p**2 - 4*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:18 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19128, 76510, 172140, 306012, 478120, 688458?\n\"Answer: -o**3 + 19130*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -2, -3, -4.\nAnswer: -4, -3, -2, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*c - 137097 + 972243. What are the prime factors of c?\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bspbbbsbbsepeesbbeb. Give prob of sequence bspb.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927655 is divided by 957?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**4*w + c**3*w + 206*c**2 - 4*w + 3422 wrt c.\nAnswer: 4*c**3*w + 3*c**2*w + 412*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -145, 2, -3.2, 0.1, 102.7, -0.4?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 85*h**4 + 117765*h**3 + 407850*h**2 + 220940*h - 248760 = 0.\nAnswer: -1382, -2, 9\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w - 183 = 92*w - 2*f - 191, -w - 3*w - 5*f - 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, o: 3, y: 2, g: 2}. What is prob of sequence yrg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6864826651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*o + 23, 0*z - o - 31 = -2*z. Let p = -10 + z. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1747, 2756, 4437, 6790, 9815?\n\"Answer: 336*u**2 + u + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15251*w**3 + w**2 + 3*w + 2. What is the tens digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {r: 5, t: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftfffctfffcf. What is prob of picking 1 f and 1 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 3\/32*h**4 - 1\/4*h**3 - 1\/80*h**5 - 75*h**2 + 0. Factor j(b).\nAnswer: -3*(b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178.02 + 180. Let f = -2 + z. Let m = -0.016 - f. What is m rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4981 = 4*p + 5013 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (78 - 15) - (1 + -3 + -9) - -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 773, -5, 437 in ascending order.\nAnswer: -5, 0.06, 437, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*y - 4 = -1, 4*c = -4*y - 8. Suppose -o + c*w + 14 = 0, -5*o + 2*w = -0 - 18. What is the least common multiple of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 14, -20, -54, -88?\n\"Answer: -34*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/3 + 2447*o - 2379772\/3 = 0.\nAnswer: -7652, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 12. Let v = 14 + p. Solve 0 = 4*c + m - 15, v*c + 2*m - 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 22055\/66 - 1\/6. Calculate the greatest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 2. Suppose 44 = u + 8. Let x = u - a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26. Let j be -1*(s - (-1 + 2))*5. Let n = j + -8. What is the third biggest value in -2\/3, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niniiiinin. Give prob of sequence iini.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/17 (b) -7.54 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c - 7. Let g = -10 + c. Sort g, 3, 2.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from ncsksmsnmmnnn.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0903 - -1.9097. What is the closest to 0 in -0.7, w, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4. Let s(k) = -38*k + 27. Calculate -s(w) - 6*z(w).\nAnswer: 38*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3213751 and 62.78?\nAnswer: 3213688.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65550 is divided by 163.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + x - 1. Suppose 3*k = 37 + 5. Suppose 0 = -9*b + 2*b - k. What is h(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let r = 0.48 + -0.84. Let s = -0.04 + r. Which is the closest to 0? (a) j (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 10, 2, 1\/4, -212, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*p + 8*p. Let c = 19 + p. Determine d so that -c*d**3 + 3*d - 16 + 4*d + d**3 + 12*d**2 + d + 2*d**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929336126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m + 72*m = 0. Suppose 2*h + h - 6 = 3*v, 2*v = 3*h - 9. Solve 3*z - s = -3, -4*z - v*s + m = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 8. Let h be q(7). Let l = 2 + h. Suppose 2 = -4*w + 2*k, 0 = 2*w + 3*k - 5*k + 2. Solve o = -w - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 12. Let a be ((-3)\/5)\/((-8)\/(-40)). Let d be c(a). Let w(l) = 22*l + 11. Is w(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 375\/2*(-420)\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -11, -3, 6, -16 in increasing order.\nAnswer: -16, -11, -3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96, -222, -1108, -2844, -5712, -9994, -15972, -23928?\n\"Answer: -47*t**3 - 2*t**2 + 17*t + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 589866649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 13 + 5 = 0. Suppose -u - u = -304. Let s = u + h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -87216.\nAnswer: 1\/43608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000042404 rounded to 7 dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 112 = 20*p. Suppose -17*x + 24*x - p = 0. Suppose -5*b - 31 = -3*l, -x*b - 20 = -5*l + l. Sort -4, b, 1 in descending order.\nAnswer: 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-6 - (0 - -1)). Suppose 0*c - 3*c = d*z - 50, -2*c - z + 35 = 0. Let m be 28\/(-45) - c\/(-81). Which is greater: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0\/(-2))\/(-1))\/(59\/59). Let g be (-1)\/2*12*-2. Suppose -2*s + g = 2*s. Sort -1, h, -3, s in descending order.\nAnswer: s, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -16)\/(-11 - (-7620)\/692). Is z at most -1385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110101?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -3\/58 (c) 0.3 (d) 4 (e) 4.7 (f) -3.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 24 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.2 to zero dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 2*g + 1. Let k be l(1). Find the common denominator of (-183)\/(-18) + k\/3 and ((-15 - -46)\/(2\/9))\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 59a29537?\nAnswer: 59a29537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 times -2?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 2 = 50*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 967*l**5\/20 - l**4\/12 + l**3\/6 - 6*l**2. Let n be -1 - (-4 + 2\/1). Let g be r(n). Round g to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.25 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 127?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152706.8 nanoseconds in microseconds?\nAnswer: 152.7068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -204. Let b be x\/42 + (-4752)\/(-28). What is the highest common divisor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 4. Let n be c(-8). Let a(f) = -f**2 + 6*f - 4. What is the remainder when 21 is divided by a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2214?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(0*o - 4*o + 5*o) - 19*o + 7 - 1 - 8)*(3*o**3 - 2*o**3 - 2*o**3).\nAnswer: 20*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -431, -389, -241, 49, 517, 1199, 2131?\n\"Answer: 6*v**3 - v**2 - 67*v - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 16 + (-9 - -1) + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/19 + 29\/57. Let c = -7 - -9. Factor 8*n - w*n**4 - 16\/9 + 38\/9*n**3 - 28\/3*n**c.\nAnswer: -2*(n - 2)**3*(3*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = -43*r + 10*r. What is the nearest to 151\/3 in -5, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 31*u + 1107*u**3 - 53*u + 3*u**2 - 10.\nAnswer: 1107*u**3 + 2*u**2 - 84*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let s be -4*2*j\/2. Let g = s + 2. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 42285*h + 211897. Determine q(-5).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 3584.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -219.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((5\/(-25))\/((-256)\/(-1280))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4)*-3)\/sqrt(10) - -4*(sqrt(5) - (-1 + sqrt(5))*1))*5.\nAnswer: -15*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 352*g**2 - 1028*g - 680.\nAnswer: -4*(g + 1)*(g + 2)*(g + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let l(t) = -2*t - 23. Let w be l(-13). Suppose 0 = w*g - 9*g. Put 3, g, 2, j in increasing order.\nAnswer: j, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 8*a**3 + 45*a**2 + 411*a - 8 wrt a?\nAnswer: -12*a**2 + 48*a + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2. Suppose 0 + 5 = -5*v. Let k = v - -3. Let x(h) = 2*h - 2*h - h**2 + k*h**2. What is p(x(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8951, 8983, 9029, 9095, 9187?\n\"Answer: b**3 + b**2 + 22*b + 8927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -95.3\nAnswer: -98.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + ((-7)\/21 - 0)*-15)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 11*r - 884. Is r\/340 + 66\/(-5)*-109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*q**2 - 185*q wrt q?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 605122 - -1?\nAnswer: 605123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61568 and 1765048.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -292?\nAnswer: -5\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -402 - -424. Solve -2 + 68 = h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 134703*o - 808240. Calculate f(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/33)*k*k**(-14) assuming k is positive.\nAnswer: k**(-431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187006692?\nAnswer: 2, 113, 2626121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.154 + -0.909. Let i = h - -0.055. Which is the third smallest value? (a) 4 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6905 rounded to the nearest 100?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeev when four letters picked without replacement from eeeeeeeeeeeeeveeeee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2528 * -279.\nAnswer: 705312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11081380*a. Let u(x) = -2*x**2. Calculate b(u(w)).\nAnswer: -22162760*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -4. Let j = f - -1. Let q = -0.5 + 0.1. Which is the third smallest value? (a) j (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6717009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76321555 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = 124*z - 227*z + 3168 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*y**3 + 1394*a*y + 315584*y**3 + 2*y + 22 wrt y.\nAnswer: -12*a*y + 1893504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (51 - (-7 + 7) - 5) + 286 + -289\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31.7537*23\nAnswer: 730.3351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 - 11*q + 16. Let s be a(7). Let o = s + 64. Find the second derivative of -565*c**3 + 556*c**3 + o*c + c wrt c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 2*u**3 + 0*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/7 (b) 1\/5 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Let j be d\/(-12)*21\/(-14). What is the second smallest value in j, 3, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 359?\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 20, -2*c - 4*x + x = -20715. Let o = -221365 + c. What is o rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**2*v)**(1\/37)\/(v**(-8\/3)\/(v**(-1\/11)*v*v)))**(1\/5))**(1\/32) assuming v is positive.\nAnswer: v**(5719\/195360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150570, 153108, 155646, 158184?\nAnswer: 160722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 9*d - 1. Let v be m(-4). Let k be 1 - (3 - v) - -4. What are the prime factors of k + -3 - 0 - -27?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/13 (b) 1.9922 (c) 1.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -159*r**3 - 3*r**2 - 3*r - 16. What are the prime factors of d(-3)?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1 - 3)\/(-2). Let p be (-8)\/((-64)\/(-36)) + 5*(143\/(-22) + 6). Let l be 1\/(-9) + (-1)\/(-3). Sort l, 1\/4, p, j in decreasing order.\nAnswer: j, 1\/4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1404236891 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(-2))**(-2\/65) assuming v is positive.\nAnswer: v**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11000002210122 (base 3) to base 4\nAnswer: -20013132332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-5) + 1\/((-1)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.84 + 12.64. Let u = 250 - 2252\/9. Which is the closest to x? (a) 5\/2 (b) 1\/3 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - d - d - 8 = 0, 5*d + 20 = -x. Is -3\/925 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105738, -105304, -104870?\nAnswer: -104436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 643 - -2647?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:16 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 - 13*u**2 + 13*u**3 + 2*u + 1 - 5*u**3 + 7*u**2 + u**4 + 1 in the form d*u**3 + p*u + k + w*u**4 + h*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6*y + y + 20, -5*u = -4*y + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 7)*(2*z**2 + 2*z - 2*z) + (-3 + 2 + 2)*(0*z**2 + z**2 + 0*z**2).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 5:31 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2675 + 0*g + 2675 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 36*w**2 + 191*w - 25. Let q be k(-29). What is the greatest common divisor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from mggm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -31?\nAnswer: -182\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -538 + 527. Let g = -11.2 - o. What is the fourth smallest value in -0.5, 0.3, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 8?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 10*b - 4. Suppose -v - 4*v - 55 = 0. What is the remainder when 18 is divided by z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 3*a - 4. Suppose -2*z + 2*d - 10 = -2*d, 4*z - 4*d + 20 = 0. Suppose 0 = k + 2*r, 5*k - 1 - 7 = -2*r. Let f = k + z. What is u(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 4*j + j + 13*j**2.\nAnswer: 22*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*(i*i**(-13)*i)\/i*i)\/i*i)\/i)**(2\/3)*i**8*i\/i**(-13\/3))**(-1) assuming i is positive.\nAnswer: i**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 648*n**3\/7 - 3491280*n**2\/7 + 387878*n - 75418.\nAnswer: 2*(n - 5387)*(18*n - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + w + 8 = -2*w, -i = -w - 4. List the prime factors of (28\/(-8))\/((-2)\/i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.903?\nAnswer: -0.1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -340*w**3 - w**2 - w. Let c be s(-1). What is the greatest common factor of 34 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5180274796.9999658 - 5180274165. Let p = 632 - n. Round p to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -121*u**3 + 725*u**2 - 17*u + 134. Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.055 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + 4*i. Let s(m) = m**2 - 3*m - 1. Let f be s(4). Let h be j(f). Is (-2 - (-2 + h)) + 296 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2758, -5826, -8884, -11926, -14946, -17938, -20896, -23814?\n\"Answer: f**3 - f**2 - 3072*f + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011 is divided by 172?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j - 57*j = -50 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 6*u + 18673*u**2 - u.\nAnswer: 18673*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17225\/8 + 2153. Suppose -2*s - a - 7 - 2 = 0, 3*s + 1 = a. Put -1\/2, s, m, 10 in decreasing order.\nAnswer: 10, m, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -6*p + p. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -4*u, 0 = -3*t - 2*u + 6 + 3. Suppose 3*b - 7*v = -11*v + 36, b = -t*v + 12. What is the lowest common multiple of b and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 + -150.3. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137199.5 to the nearest 1000.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 31. Let x be o(18). Let w = x + 23. Suppose 4*r + 5*f - 44 = 0, r + 3 = 3*f + 31. What is the lowest common multiple of r and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/6*(-86)\/43\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22997001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4*(-3)\/(-36)) - 1. Let f(v) = v**2 + 6*v + 5. Let l be f(-5). Let q(n) = -n + 1 + 0 + l. Let d(u) = u. Give k*q(g) + d(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9584*u**4 + 22580*u**4 - 7770*u**4 - 8014*u**4 + (-u**2 + 2 - 2)*(2 - 2 - u**2) to the form q*u**3 + m*u**2 + x*u + b*u**4 + v and give b.\nAnswer: -2787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -30. Let b be s\/6*(-4)\/(-6). Solve -5*z = -0*z + b*x - 5, -4*z = -2*x - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 57. Let t = 0.54 - 0.54. Suppose -x - 1 = -2*z - 2*z, -2*x + 4*z - 2 = 0. What is the nearest to d in 1\/2, t, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 + -243. Suppose 2194 = -3*y - 2*q, 4*y - y = -q - 2195. Let p be y\/(-30) + u\/10. Calculate the greatest common factor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (40\/(-6))\/(0 + 20\/(-12090)) and 65.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(363) + 1.\nAnswer: 4 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*a = 2, 7*b - 5*b - 5 = 3*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 14 + 31)*(-2 + d + 2*d**3 + 3*d**2 - 3*d**2).\nAnswer: 144*d**3 + 72*d - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20578068 a multiple of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(4*1*sqrt(85) - sqrt(85) - sqrt(85)))\/(((sqrt(5) + sqrt(45) + sqrt(5) - sqrt(5))*2 - sqrt(10)\/sqrt(2)*-2)*2).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 4*r + 4*r)*(3*r - 2*r + 4*r) - 23*r**3 + 4*r**3 - 84*r**3 + (2*r - 5*r + 2*r)*(-r**2 - 4*r**2 + 4*r**2) + 5*r**3 - 4*r**3 + r**3.\nAnswer: -105*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 8 = -12*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4374 divided by -9.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + 1. Let r = d + -85. Solve r*i = 4 + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 v when four letters picked without replacement from vvkkvkkkxuy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 168*m**2 + 476*m - 312.\nAnswer: 4*(m - 39)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w - 9. Let i be m(8). Let a = 32 + i. Let k be 4 + a\/5 - -3. Which is greater: k or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:37 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10*g + 39051 - 6465. What are the prime factors of g?\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n + 56 - 155 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 + 7.4. Which is the third smallest value? (a) -1 (b) -3 (c) -19 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*g - 3*m, -8 = 4*g + m - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 288, 1160, 2612, 4644?\n\"Answer: 290*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -422 in descending order.\nAnswer: -1, -14, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Solve -3*b + 1 = -m*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -47. Let x = 326 + -374. Let z be (-2408)\/x + (-1)\/6. What is the highest common divisor of z and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m + 1. Let k(q) = 4*q**2 - 8*q + 18. Let l(d) = -3*b(d) + k(d). Is l(10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 2*d - 2*d - 3*d**4 + 2*d**4 - 2*d**4 + (8*d**4 - 8*d**4 - 30*d**4)*(-3 + 5 - 4).\nAnswer: 55*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-11 - -15)) + 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.06797 * 0.055\nAnswer: 0.00373835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h + 5*u - 55 = 0, 0 = h + 3*u - 17. Let i be (66\/5)\/((-6)\/h). Let d be 2\/(4 + i\/10). Is d less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = 2*j, 28 - 8 = 5*j + 3*x. Let g be (-30)\/9 - j\/6. What is the tens digit of (-2)\/((g\/(-14))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q. Suppose 2*z - 5 + 1 = q. Suppose -149 + 365 = 4*f + 2*c, 2*c + 102 = z*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3005.43 decades to months.\nAnswer: 360651.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/1859, 4, 1\/5, -7 in ascending order.\nAnswer: -7, -4, -5\/1859, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -2\/15, 0.54?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 2*d**2 - 3*d - 2. Let i be y(2). Let -6*u**3 + 5*u + 2*u - 3*u - 2*u**2 + 4*u**2 - 2*u**4 + 2*u**i = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from nctdidddtdiinct?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21035881067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + 9 - 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let c(i) = -i**3 + 2*i**2 + 4*i - 5. Let s be c(1). Let l(t) = -40 + s*t**2 - 8*t**2 + 2*t**2 + 7*t**2. Give l(x(w)).\nAnswer: 4*w**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 269*z + 131*z + 44 = -142*z, 2*g + 12*z + 16 - 10 = 56 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*y**3 + 542 - 25*y - 109*y**3 - 114*y**3 - 167 - 35*y**2 = 0. Calculate y.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 365 = 2*g - 239, 3*g = -h + 304. What is the highest common factor of 86 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -12. Let j be 2\/(-4)*(y + 0). Suppose j*k + 5 = k. Solve -3*p + 17 = -k*b, -5*b + 3 = 2*p - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -54*b**3 + 21*b**2 + 4*b - 21. Let s(k) = 11*k**3 - 4*k**2 - k + 4. Give 11*s(m) + 2*t(m).\nAnswer: 13*m**3 - 2*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is -3656\/1813 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*4\/(-12) + 9. Solve 0 = 6*p - 4*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 53*b - 17. Let w(g) = 27*g - 9. What is 6*c(z) - 11*w(z)?\nAnswer: 21*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 18 = -24. Let b be 2072\/49 + 4\/u. Let o = -241 + 346. Calculate the greatest common divisor of b and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037002561 rounded to five decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 7*2 + (-47 - (58 + -56))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 1. Let p(y) = 20*y - 11*y - 4*y - 3*y - 3*y. What is a(f) - 5*p(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19443*w**2 + 93*w**3 + 19443*w**2.\nAnswer: 93*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 372057060164 and 0.15.\nAnswer: 372057060164.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 260 = 8*q. What are the prime factors of 75 - 71 - (q - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.94 + 53.7. What is p rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -26 - (5 - (-8 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:00 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 90 = -4*o. Calculate the remainder when ((-104)\/12 + -3)*-3 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -138) + 3573 + -3759.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -11)*((-164)\/(-123) - (-5)\/3). Sort -4, -1, 5, g.\nAnswer: g, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -151468085?\nAnswer: 151468106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -449?\nAnswer: -97\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2004302 (base 5) to base 14.\nAnswer: b855","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423566?\nAnswer: 2, 11, 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -416\/615 + 2\/205. Let t be 114\/(-22) - 2\/(-11). Which is the closest to k? (a) 2\/5 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.8. Let o = 1\/24 + -59\/264. Let r = -275 - -270. Which is the nearest to -2? (a) j (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323493 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -12, 5\/4, 0.7 in increasing order.\nAnswer: -12, 0.7, 5\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -117 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 718*z**2 + 1703*z.\nAnswer: 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.05, -4, 4\/23, 0.08 in decreasing order.\nAnswer: 4\/23, 0.08, -0.05, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4890 = 6*x - 4914. Solve -2*w - n = -x, -7*w - 5*n = -9*w - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 14*o - 83. Give v(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*t**4 + 4843386*t**2*z + 2*t*z - 40*t + 31*z - 15329 wrt t?\nAnswer: -444*t**2 + 9686772*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 1 (c) -5 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/63 + 47\/9. Suppose g*v = -b + 126, 3*v + 5*b - 30 = 2*v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 7*f + 1. Let y be m(-5). Let a = y - -157\/4. Let h = 715 + -3576\/5. Put -3\/4, a, h in descending order.\nAnswer: a, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 877 + 3558 = -1479. Solve 0 = -29*h - n + 262 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -19030.\nAnswer: 247390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from tjttjjjtjjjtjttjjtt.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 4*l - 1. Let k be q(5). Let c be ((-44)\/99)\/(2*1\/(-2)). Factor -2\/9*m**k + 2\/9*m**5 + 2\/9*m + 4\/9*m**2 - c*m**3 - 2\/9.\nAnswer: 2*(m - 1)**3*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 115\/(-3) - (-8)\/84*(-1582)\/452\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 2006.\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, -1\/2, 2\/11, -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10.8. Let h = u + -1.1. Let k = h - -0.301. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 824, 3235, 7252, 12875?\n\"Answer: 803*z**2 + 2*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = -4*m + 25, -5*m + 4*i = -5. Suppose 4*q - 25 = -m. Let l(h) = -h**3 + 7*h**2 + 2*h - 6. What is the remainder when l(7) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985219723.\nAnswer: 23, 86313901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201210 + 0?\nAnswer: 12201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*p = -40, 0 = 2*w + p - 3*p - 26. What is the greatest common factor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -51. Let s = 0 + r. Solve -2*b + s*a = -26, 2*b = b + 4*a + 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-12)*y*y*y**13*y*(((y\/(y*(y*y*y\/y**(1\/6)*y)\/y*y))\/y)\/y)**(-31) assuming y is positive.\nAnswer: y**(1259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 51, 56, 61?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u + 4*u - 8*u + 5*u in the form z*u + s and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36281 and 5467?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2579636970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7. Let q(k) = -3. Let l(t) = -2*p(t) + 5*q(t). Let u(c) = c + 1. Give -3*l(s) - 2*u(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1\/4, 3, 4.3, 0.4 in descending order.\nAnswer: 10, 4.3, 3, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 39*g**2 - 7*g - 3. List the prime factors of p(3).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191383, 191390, 191409, 191446, 191507, 191598, 191725, 191894?\nAnswer: 192111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4262 - -4255. Let a(f) = 11*f + 54. Calculate a(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.017, -2\/7.\nAnswer: -2\/7, -0.017, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g - 52*g + 26*g + 168 - 5*g**2 + 4*g**2.\nAnswer: -g**2 + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**1\/d)\/d))**(-50) assuming d is positive.\nAnswer: d**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32*-2)\/(1275\/255)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1455\/(-95) - 1176\/(-3724))\/((-2)\/(16\/(-3)))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/7 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.49 + -0.50005. Round k to 4 decimal places.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + o**2 - 10*o + 3*o. Suppose 7*k - 2*k + 3*v - 50 = 0, v + 10 = k. Let x be k\/55 - (-86)\/11. Give u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + (sqrt(147) - (sqrt(147) + 1)) + 2 + sqrt(147) + (4 + sqrt(147))*-6 - (sqrt(147) + 2 + -3 + sqrt(147) - 3*sqrt(147)*-3))**2.\nAnswer: 4620*sqrt(3) + 33559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.47 * -32.72.\nAnswer: 15.3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -15. Let f = 15 - 12. What are the prime factors of f\/(3\/t + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29463 divided by 9821\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/(-66) - 4032\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*10\/105*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = 2*t, -7*r + 2*r + 13 = 4*t. Suppose -2*h + 14 = 2*b - 0*h, r = -2*b + 3*h. Factor 10*g**2 - 6*g**2 - 19*g + 5*g + 6*g**3 + b + 0*g**3.\nAnswer: 2*(g - 1)*(g + 2)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, d: 7}. What is prob of picking 2 g?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331220130133 (base 4) to base 16.\nAnswer: -f6871f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/3 - -49\/6. Factor w*j + 1\/2*j**3 + 0 - j**2.\nAnswer: j*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0 - 10*q**2 - 8 + 8. Let h(f) = 6*f**2. Give h(c(p)).\nAnswer: 600*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123561 + -84608. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*u - 24, -3*u - 303 = -b - 311. Solve -20*p + 47*p = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**4 + 234*v**3 - 1285*v**2 + 2*v?\nAnswer: 48*v + 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 389\/(-55) + (3 - -1). Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4.97. Let c = 1.67 - 1.9. Let g = c - p. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 23*o - 3. Let x(h) = 4*h + 20. Let a be x(-7). Let j be y(a). Sort j, -1, 0.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 - 348*z + 4261. Calculate c(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 10*b**2 + 10*b + 5. Let s be i(-9). Find the common denominator of 8\/20 + 478\/380 and 71\/s + -5 + 6.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z + 5. Let v be p(7). Let f(o) = -2*o**2. Let q be f(2). Let g = q + v. Which is the third biggest value? (a) -2\/5 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/2000 + (-209)\/(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.306613482 rounded to three decimal places?\nAnswer: 0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3294\/(-8))\/(-3) + 30\/(-120). Is 48 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 2782 = -5*y + 2*z, -y - 2*z = -688. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175522 divided by -31?\nAnswer: -5662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mbmmdbdemebbm.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5845880 and 95\/1056.\nAnswer: 771656160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.43g to tonnes.\nAnswer: 0.00002443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - (3 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -988 - -989. Suppose -3*r + 3 + o = -m, 3 = -m + 4*r. Let a(p) = 2*p + 13. What is a(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 - 44*k + 20. Let w be x(10). Suppose 74*h + 6 = w*h. Let i(n) = n. Let s(m) = 5*m**2 - 6*m. Give h*s(f) + 6*i(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 103 = -2*o, 2113*o - 2*v + 122 = 2117*o. Let q(y) = -7*y + 232. Determine q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 7*r**5\/30 - 4*r**4\/3 + 29*r**3\/6 - 6*r**2. Let p(h) = -5*h**2 + 11*h - 10. Let g(l) = -6*i(l) - 17*p(l). Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w. Let t(j) = -546*j. What is -36*q(v) + t(v)?\nAnswer: -906*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 2*a - 15*a. Let j(f) = 286*f. Let i(c) = 77*g(c) + 4*j(c). Let r(x) = -13*x**2. What is r(i(b))?\nAnswer: -1573*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 8. Do c and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -30. What is the units digit of -3*m\/24*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 22 + 12 = 0. Solve -2*d - y = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 43009485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432))**2*3.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-9)\/(-3) - 1. Suppose -m - 2 = -4*g + a, 3*g = 6. Let s be 3\/2 - (212\/24 - 108\/81). Sort s, -2, m.\nAnswer: s, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 + 19*a - 13. Let m be 90\/14 - (-252)\/441. Let c be s(m). Calculate the greatest common factor of c and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146 - 524 + 192 + 186 + 11501*s as y + u*s and give u.\nAnswer: 11501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6304557*m**2 - 2*m + 2690769.\nAnswer: -12609114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672.6681 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9141.9706 - -9141. What is g rounded to 2 decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -143 + 17*a + 28*a + 53 + 15*a. Let z be i(6). Calculate the greatest common divisor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7882.\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -520, -792, -1072, -1360?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 314 - 309 - (-2 + 28 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 408\/(-72) + 227465\/(-15). What is q rounded to the nearest one hundred?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -895*x - 43*x**2 + 897*x - 21*x**2 + (1 + 3 - 3)*(-x**2 + 0*x**2 - x**2).\nAnswer: -66*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + 2.7. Let i = 0.6 + -0.9. Let a = 0.6 + -0.8. What is the nearest to a in -16, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {u: 3, j: 2, b: 10, i: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = 3*o - o, 2*o - 57 = -16*x - 29 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/(-16)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50b9ed (base 15) to base 2\nAnswer: 1110101000100101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8547594, 8547488, 8547382?\n\"Answer: -106*g + 8547700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12967*l + 22964545. Determine u(1771).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f + 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 19 = 3*z. Suppose z*g - 1642 = 2384. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126291*d**4*n + 48*d**3*n**2 - 510294*d*n**2 + 138*d wrt d?\nAnswer: -1515492*d**2*n + 288*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0.1. Let c = l - -5. Let z = 3.9 - c. Sort 3\/7, -2\/3, z in descending order.\nAnswer: z, 3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122031 (base 4) to base 3.\nAnswer: -2022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(58941\/(-518)))\/(8*(-5)\/30).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*2*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -4194.86?\nAnswer: -4194.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 0 + 0 + (0 - 1 + 4)*(25 - 14*p - 25) - 2*p - 2 + 2 + (0*p - 5*p + 3*p)*(1 + 0 + 1).\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 - 544*p**3 + 526*p**3 + 69*p**2 - 28*p**2 - 22*p**2.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 - 7*u - 10. Determine g(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 3. Let x(w) = -4*w - 5. Let t = -17 + 18. Let v be t\/(-3)*(2 + 13). Let g(m) = v*o(m) + 3*x(m). Let i(b) = -6*b. Calculate i(g(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3717494 and -7\/6590103.\nAnswer: 144982266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-348)\/5*(25 + 2625\/(-100))*1.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + n - 16369, -5*p - 3*n = -20470. Let c = 7030 - p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2224 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) 1\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 34. Let i be z(-14). Let l be (-39)\/(-6) - i\/4. Find the second derivative of r**l - 6*r + 0*r**3 + 0*r**3 + 0*r wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqy. Give prob of sequence qey.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xotxooxptoxtpoxooooo. Give prob of sequence xt.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.33 + 27.23. Let k = 0.3 + 0.7. What is the nearest to k in 5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 6*u - 3. Determine d(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/35*(-7)\/(-3))\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -32*s + 28*s. Suppose 41 - 9 = -8*q. What is the fourth smallest value in q, 2\/13, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 146.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3143715.6587 + 3143140. Let j = d + 552.66. Let t = j + 23. What is t rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44021 or 0.9?\nAnswer: 44021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 458385.908 to the nearest 10.\nAnswer: 458390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 478281841 to the power of 1\/2, to the nearest integer?\nAnswer: 21870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/416 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 - -0.4. Let s = -0.8 - z. Sort -3\/7, s, -0.5 in ascending order.\nAnswer: -0.5, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/3 (b) 0 (c) 3\/7 (d) -4 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-2)\/24). Suppose 8*x = 5*x - j. What are the prime factors of (7 - 0) + (-4)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 2. Let j(r) = -141*r - 10. Give 6*d(o) + j(o).\nAnswer: -147*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 3*t. Let l(i) = -5*i**2 + 4*i. Let x = 6452 + -6449. Give x*l(n) + 4*o(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 15*d**7\/14 + 19*d**3\/6 + d**2\/2 - 8*d. Find the second derivative of f(k) wrt k.\nAnswer: 900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 2*s + s. List the prime factors of y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*d - 54 = 0, -3*d = 5*b - 72 - 53. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-11 + 17 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igginlgmglilgg. Give prob of sequence mili.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-5)*a**(2\/35)*a*a*(a\/(a*(a\/(a**2\/a)*a)\/a))\/a**(1\/16) assuming a is positive.\nAnswer: a**(4477\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 891370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(88) - sqrt(22)) + sqrt(22)))\/(-4*sqrt(11)*-1) + ((-1*sqrt(30))\/sqrt(3))\/(sqrt(5) + (sqrt(180)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 47135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 130011 (base 4) to base 14\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, u: 3, z: 5, p: 1}. What is prob of sequence ump?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 202.5. Let p = -118 + k. Which is bigger: -0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)\/l*l*l**9)\/(((((l\/l**8)\/l)\/l)\/l)\/(l\/(l**(2\/7)*l))))**(-27) assuming l is positive.\nAnswer: l**(-2025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtsudsutsddd. What is prob of picking 1 t and 2 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 + 53*s\/2 - 27 = 0. What is s?\nAnswer: -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*n = c + 26, -22 = -5*c + 3*n. What is the third derivative of -5*h**c - 3*h**5 + 2*h**2 + 0*h**2 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62, -48, -32, -14, 6?\n\"Answer: r**2 + 11*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18971, -18666, -17843, -16244, -13611, -9686?\nAnswer: -4211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/(-16)*5\/(-8)*12.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8246? (a) -2 (b) -1 (c) -6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*u - 0*u - 5, 2*u - 2 = 0. Let p be (d\/21)\/((-2)\/6). Which is bigger: p or -3\/10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 1\/24*i**4 + 1\/60*i**5 + 2*i**2 + 0 + 0*i - 2\/3*i**3. What is z(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 1 - 3*n + 165*n**3 + n**2 - 159*n**3. Let u be g(-1). Which is bigger: u or -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 divided by -16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, x: 1, g: 4}. Give prob of sequence gfxg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -4.7, -4, 1\/8, -15 in descending order.\nAnswer: 1\/8, -4, -4.7, -15, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/2)*g*(g\/(g\/g**0))\/g*(g*g**(2\/3)\/g)\/(g\/(g\/(g*g*g*g\/((g\/g**8*g)\/g)))) assuming g is positive.\nAnswer: g**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*z - 4*d, z + 4*z = -4*d + 23. Let m(y) = -y**3 + 11*y**2 + y + 1. What is m(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*15\/45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2261494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 551510251?\nAnswer: -551510255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10 + 9))\/((-3)\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {a: 15, t: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 1:13 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(20\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -202404?\nAnswer: 1\/50601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (30272\/4816)\/(4\/(-14))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2*10)\/(71345\/(-1710) - -42)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 2*d - 1271. Suppose 0 = 2*z + 4*f - 260, -f = -5*z - 3*f + d. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) -0.4 (b) -3 (c) 1 (d) -3\/7 (e) 128\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -886*s = -864*s - 572. Which is the biggest value? (a) -3 (b) -4 (c) s (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 2*v + 9. Let k(i) = i**2 - i + 1. Determine -2*k(f) - n(f).\nAnswer: -5*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11811 + 34676\/3. Let t = n + 253. What is the nearest to 0 in 0.2, t, 0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(85) + sqrt(85) + sqrt(85))\/(sqrt(720) + (sqrt(720)*1 - sqrt(720)) + sqrt(720) + sqrt(5)).\nAnswer: -6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 - -1010?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20867 at least -20866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13012*x - 139. Let t be n(-7). Let k = -152123 - t. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 307\/6 (b) 3 (c) -1884 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 161, 397, 759, 1265, 1933, 2781?\n\"Answer: 3*x**3 + 36*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 1 (b) 8 (c) -11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 44*c + 4*c**2 - 14347*c**3 - 47*c - 14755*c**3 - 8. Let q be l(8). Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3526*m - 1923. Calculate the remainder when q(-6) is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((380\/19)\/(-500)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6541 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - sqrt(60)\/(sqrt(10) + sqrt(90))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + 8 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let x(o) = -80841603*o. What is x(f(u))?\nAnswer: -80841603*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1160 + -1113. Solve 0 = -b + 2*z - 3, -w + 18 = -5*b - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272)*4*5 + -2*(sqrt(612) + -1) + -1.\nAnswer: 1 + 308*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 26) + (-13 - -1) + 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5665 and 1430?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 5*(-24)\/3. Let i = g + 53. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3*o - 7. Let w be r(5). Suppose -x + w*x = -i - 75, -3*x + i - 125 = 0. Let c = -12 - x. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*q + 98, 22 = q - 0*g - 2*g. Calculate the greatest common divisor of 120 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034797 and 7126.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h**3 - 171*h**2 - 2294*h + 78. Let p(y) = 2*y - 13. Let l(q) = o(q) + 6*p(q). What is the second derivative of l(g) wrt g?\nAnswer: -90*g - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooxxxo. Give prob of sequence oooo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3*((-93699)\/261)\/20822?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57452, -57433, -57428, -57443, -57484?\n\"Answer: -y**3 - y**2 + 29*y - 57479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297638863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2 + 3 - 4. Let w(i) = 3*i - 7 + 4 - 3. Let c(b) = w(b) + 3*z(b). Determine c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - 66 = -4*b, -2*b + 4*c = -48. Suppose 0 = 6*a + 5*a - 561. Calculate the remainder when a is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d - 68*d = -135*d + 3. Sort 27, 1, d in decreasing order.\nAnswer: 27, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-176)\/(-60)) - (-3)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42745 and 42745 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14385868.52 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -26 - 6. Let o = j - 4. Suppose -5*i = -2*l - 14545 - 151470, o*i = -4*l - 331988. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - (-10 + 13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/3*3)\/2. Suppose 0*c = -r*c. What is the units digit of 0 + 3 + 0 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3380104 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 2582?\nAnswer: -33\/2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 65. Which is the nearest to 3? (a) -2\/9 (b) 5 (c) l (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)\/sqrt(2))\/(-3*-2*sqrt(2))*-4.\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -285 + 263 - (-17 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 19530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*o - 71*o - 146*o as u*o + p and give u.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910229, -3820458, -5730685, -7640910, -9551133?\nAnswer: -11461354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-8 + (-12 - 0))) + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e4c6 (base 16) to base 12.\nAnswer: 103806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -3. Let q = 16 + y. Solve -m - m + q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 483160 and 16544.\nAnswer: 21259040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180) + sqrt(20)))\/(sqrt(16)\/sqrt(4)*-3) + ((sqrt(5) + sqrt(720)\/sqrt(9))*-4 + -3)**2.\nAnswer: 352*sqrt(5)\/3 + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-6))\/(235\/141).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-725)*(-15)\/(-4)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.088 - 1.088. Which is the closest to s? (a) 1\/3 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 27 - (6 + 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - (-14)\/6. Let v(d) = d**3 - 2*d**2 - 3*d + 3. Let k be v(3). Let o be (2 - 2 - -1) + 0. Solve -5*m - 25 = 5*i, q*m + o + 11 = -k*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2512*p**3 + 3269*p**2 - 2. Let j(u) = -10048*u**3 + 13061*u**2 - 9. Let s(a) = 2*j(a) - 9*o(a). What is the third derivative of s(b) wrt b?\nAnswer: 15072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 84 + 241 + -209?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a + 229. Calculate r(0).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/608, -2\/209, 0.1, 0, 0.15 in increasing order.\nAnswer: -2\/209, -3\/608, 0, 0.1, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 11, d: 1, w: 8}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5764*g - 322807. Calculate n(56).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:39 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -17. Is y <= 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 28753?\nAnswer: 115012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 22. Let r be p\/(-4 + (-4 - -10)). Solve 4*c - r = q + 8, 3*c = 2*q + 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -0*m - 5*m. Let p = 25 + m. What is the tens digit of p - -10*(2 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4864 and 55296?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588128203.\nAnswer: 47, 97619749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + g)*((0 + 5 - 4)*(4 - 1 - 2) + 4 + 3 - 10) to the form d + o*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102948 divided by 6.\nAnswer: -17158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*p**4 - 600*p**3 - 64813*p**2.\nAnswer: 1272*p - 3600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3*q + 2*q)*(38 - 45 - 401)*(-1 + q + 1) to the form d*q**2 + u + c*q and give d.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 192.7. Let q = o - -4.7. Let a = -12.40000093 + q. Round a to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952380294.\nAnswer: 2, 71, 607, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1031 divided by -9285.\nAnswer: -1031\/9285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6*q + 2*q)*(-3 + 1 + 1)*(1251*q - 304*q + 724*q + 985*q).\nAnswer: 2656*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 59 = -28*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - 87*c**2 + 127*c + 310. Determine f(42).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 a factor of 973794546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**2 - 4*x - 13. Let g(p) = 3 + 12*p - 3*p - 7*p + 2*p**2 + p**2 - p. Calculate -9*g(u) - 2*i(u).\nAnswer: -3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + y**3 + 3*y**3)*(-195 + 195 - 48*y)*(10 + 5 - 6) to m*y**2 + r + t*y**3 + q*y**4 + x*y and give q.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22377596 is divided by 370?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:26 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z - 1. What is b(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*z - 611*z - 619*z = -4525 + 690 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111033 - 3033?\nAnswer: -120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1658.64699 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 + 2 = -m, -2*x + 5*m = -5. Let j(o) = o + 4. Let u be j(0). Let v be u*(55\/20 + -2). Sort x, v, -3 in decreasing order.\nAnswer: v, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from ozxlvof.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188\/9*l + 22\/9*l**4 - 14\/3*l**3 - 2\/9*l**5 - 32\/3 - 70\/9*l**2 = 0. Calculate l.\nAnswer: -2, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/6251 and 32\/2679.\nAnswer: 18753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 25*n**5\/4 + 4005*n**4\/2 + 34881*n**3\/4 + 9559*n**2 = 0.\nAnswer: -316, -11\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1 + 151*n + 8*n**2 - 24*n**2 - 3*n**3 + 2*n**3 - 148*n - 1. Let z(s) = -2*s**3 - 16*s**2 + 4*s - 3. Calculate 3*k(r) - 2*z(r).\nAnswer: r**3 - 16*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30048\/(-1072) + (12 - 3) - -19?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2422\/5 - 484. Which is the nearest to y? (a) -1 (b) 3 (c) -0.1 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(sqrt(81)*-1 - sqrt(81)))\/(5*sqrt(72)*1))**2.\nAnswer: 11\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhjy when four letters picked without replacement from jdyjjjhjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -81*q**4 - 5*q - 15*q - 230*q**3 - 175*q**2 + 22 - 34*q**4 - 2 - 20*q**5 = 0?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3325747042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030185 plus -195?\nAnswer: -194.969815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -142dc8?\nAnswer: -142dad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 10*u**2 - 10*u - 13. Let s be w(-9). Is (1 - s) + -3 + 19 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 2*o - 3*o + 9*o + 10*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.181 + -0.281. Let k = -660.71 + 683. Let j = k - 22. Which is the biggest value? (a) 5 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/30 + 31*n**5\/15 - n**4\/24 + 238*n**3\/3 + 4*n**2 + 371. What is the second derivative of v(q) wrt q?\nAnswer: 24*q + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/3 - 2\/(-3). Let w be (-2)\/((t\/(-5))\/(-4)). Let m(a) = 9*a + 1 + w*a + 2*a - 5*a. Give m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/7 - -143\/56. What is the third smallest value in -1\/3, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 3*u**3 - 5*u**3 - 21*u**3.\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i - 15 = 0. Let a be ((-2)\/5)\/(((-9)\/15)\/i). What are the prime factors of 3\/a - 5535\/(-54)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286338.6*-2.\nAnswer: 572677.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 340*a**4 + 8*a**2 + 3524. Let k(z) = -114*z**4 - 2*z**2 - 1175. Let v(b) = -7*k(b) - 2*l(b). Differentiate v(s) wrt s.\nAnswer: 472*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 42974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37284 - 37284 + 29*z.\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 - 6*m - 6. Let v(w) = w**2 + w + 1. Let f(i) = -q(i) - 6*v(i). Let d(h) = -524*h + 2. Determine d(f(p)).\nAnswer: -1048*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*a + 219, -5*h + 0*h + 107 = 2*a. Find the common denominator of 20\/80 + (-82)\/a and -59\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -843 (base 10) to base 7\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158, -1165, -1176, -1191, -1210, -1233, -1260?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104680 divided by -10468?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + 18\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/5 - 3434*a**2\/5 + 1362814*a\/5 + 273250 = 0.\nAnswer: -1, 625, 1093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 22) + (-10 - (-18 + -10))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 69 = -5*l. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530237\/10148 + 1\/2537. Let f = p + 52. Suppose -4*l + 0 + 1 = -g, -4*l + 4 = 0. What is the third smallest value in f, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 79 + 0*h + 40 + 80 + h.\nAnswer: h - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 3:09 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, m: 3, b: 2, f: 3, n: 2}. Give prob of picking 1 n and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 2\/11 (c) -2\/33 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.014 + -122.986. Let r = b - -123.00024. What is r rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + 52*k - 18*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -8 (b) -0.1 (c) 1 (d) -2\/7 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 180. Suppose 3*m + m = -c + 169, o*m = 4. Round c to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1456)\/52 + (-5)\/(-1) + 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 2\/68183, -1?\nAnswer: 2\/68183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**2. Let x(l) = 17677*l**2 - 39. Calculate x(t(m)).\nAnswer: 3977325*m**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 + -96. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -984, -3902, -8764, -15570, -24320, -35014?\nAnswer: -47652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 334*n**2 - 4274*n + 3938.\nAnswer: 2*(n - 11)*(n - 1)*(n + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377004496?\nAnswer: 2, 11, 1429, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1.55\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 + -261. Let j(z) = 25*z**2 - 20*z - 42. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 10. Suppose -20 = -5*h + 5*n, 4*h - n - 16 = -12. What is q(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133346 (base 9) to base 5\nAnswer: 10044304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21042*l - 1409824. Determine u(67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 293511 - 1?\nAnswer: 293510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 454333*u - 181734 = 0. Calculate u.\nAnswer: -90867, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3. Let m(v) = v - 5. Let c be m(8). Let j(b) = -16 - b**2 + 4*b + 15 - c*b. What is -2*j(h) - r(h)?\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = -24. Let r(s) = 12*s - 2. What is the remainder when r(4) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33369881 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*h = 2*h - 13, 5*f + 3*h + 34 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -k - 4*g, 0 = k + 4*k - 2*g - 460. Let j be 3\/(-3 + k\/30). Suppose 0 = 4*y + y - j. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*n**2 + 84692*h - 248*n**2 - n wrt n?\nAnswer: -6*h*n - 496*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1767 or -1766?\nAnswer: -1766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.12 - 216.48. What is a rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:30 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-745)\/(-83) - (19 - (18 - 8))) + 0\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 20. Let j be 8 + -5 - 1*d. Suppose g - 2 = -2*w, 0 = g + 3*g - 4*w - 20. Which is the third smallest value? (a) 0.4 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*0*7\/28. Does 8 divide 138 - ((2 - d) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 28*k**5 + k**2 - 22*k**5 + 37*k**3 - 37*k**3 + (-2*k**4 + k**4 + 0*k**4)*(-k + 6*k - 3*k) + (4*k - 3*k - 2*k)*(4*k**4 + 0*k**4 - 5*k**4).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 11020232?\nAnswer: -11021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (10 - -6) - (-4 - 8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*p*t**2*u - 3*p*t - 423*t**3*u**4 + 3874*t**3 wrt u?\nAnswer: 6*p*t**2 - 1692*t**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**9*u*u)\/(u*u**(-3))*(u\/(((u**(-7)\/u)\/u)\/u))\/(u*u**(-2)))\/((u*u**(1\/2))**(24\/5)*(u*(u\/(u*u**(1\/8)*u))\/u)\/(u\/u**(1\/6))) assuming u is positive.\nAnswer: u**(2491\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*q**4 + 4 - 4 - 7*q - 88*q**4 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -135645801814.67.\nAnswer: -135645801815.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1180b (base 12) to base 6\nAnswer: -301215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 9*y**3\/2 - 56*y**2 - 229*y. Does 14 divide q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 496938, 993898, 1490858, 1987818?\nAnswer: 2484778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-17)\/2)\/(17\/(-68)). Suppose -6*q = 74 + n. What are the prime factors of q\/12*(-2 + -136) + -4?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7954136 divided by 1244\nAnswer: -6394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 (base 7) in base 14?\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.04 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**4*q\/((q\/q**(-5))\/q))\/((q**(-7)*q)\/q*(q*q**2\/q)\/q))**(2\/11))**10 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/(-14) - 4\/14. Suppose -51 = -53*r + 55. Sort -3, r, -1, y in decreasing order.\nAnswer: y, r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23176842 divided by 7725614?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 - 4*j + 4. Determine y(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80051794 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/15 + 1546*v\/15 - 33044\/15 = 0. What is v?\nAnswer: 22, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -20*g**3\/3 - 23. Let j(p) = 2*p. Calculate l(j(c)).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184064 and 72?\nAnswer: 1656576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-26)\/8)\/(15\/10119). Let i = 165 - c. What is the common denominator of i and -79\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64318 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/17 + 234436*q**2\/17 + 6984833922*q\/17 + 6700207605696\/17.\nAnswer: 2*(q + 992)*(q + 58113)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6775362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 384\/9 + 7\/((-21)\/(-1)). Solve -38*a + n*a = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 107093735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*d**2 - 2*d - 432*d**2 + 68*d**2 as t*d + k*d**2 + f and give k.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - 2*q. Suppose -q*i + 58 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19056704.922 rounded to the nearest 100000?\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -351700 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*m - 0*m - 10, 0 = 2*s - 4*m + 12. Suppose -x - 2 = -v + 2*v, 3*v + 15 = 0. Suppose -2*i = x*i - 5. Solve -7 + i = -s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -11*d**6\/30 + 2*d**4 + 27*d - 3. Let k(t) be the first derivative of x(t). Find the third derivative of k(r) wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45771.04 kilograms in milligrams?\nAnswer: 45771040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10553300 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001893752 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -915*f**2 - 31385 + 14956 + 15350 - f wrt f.\nAnswer: -1830*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let k(v) = -61*v**2 + 5. Determine j(k(a)).\nAnswer: -3721*a**4 + 610*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**3 - 4*s**3 - 4*s**3 + 27*s**3.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -1 in descending order.\nAnswer: 5, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105076 is divided by 106?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {j: 1, i: 2, y: 2, o: 1, b: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**2 - 328*o + 43. Determine d(8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2832 + -2827. Solve 0*n = 4*v + c*n - 27, v - 3*n = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 82*h = 66*h - 21*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4 + 420386*c**3 - 44179415648*c**2 - 353466014018*c + 397645009281 = 0?\nAnswer: -9, 1, 210197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 64 - 504*h**2 + 503*h**2 + h to the form m + z*h**2 + b*h and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 18*v**2 + 42*v + 603. What is r(-19)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 162471*n**2\/2 - 649881*n\/4 - 81235.\nAnswer: -(n + 1)**2*(n + 324940)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 + 4*u + 8. Let m be i(7). Let k = 19 + m. Solve k = -0*g - 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:22 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 21 = 3*g + 6, -5*p = 0. Let k be 75 + (-7)\/((-7)\/(-1)). Suppose g*s = k - 24. Calculate the remainder when 57 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3600*x**2 + 1829*x**2 + 1823*x**2.\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58861 take away -2393908?\nAnswer: 2335047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-8 - (-18 - -8)). Solve 4*s - 4 = r*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 2838*f**2 - 26121*f - 320880.\nAnswer: 3*(f - 16)*(f + 7)*(f + 955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4 + 4)*(-1 + 2 + 2 + (-2 + 2 + 2)*(-4 + 3 + 0) + 2 + 1 - 1).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 24 + 8. What is the hundreds digit of -1 + c + (-3766)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-2) + 2)\/(2\/122). Let y = d - -45. Let x be y\/6*3\/(-2) + 148996. What is x rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10*(-3357680)\/15792 + -1 + (-11)\/(-14).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = -4*k. Let j = -1.7 - -2. Is j not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2802 = 3*o, -18*a + 958 = -17*a + 5*o. What is the highest common factor of a and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.317 + 0.31700034. Round u to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11808592*f**6 - 16*f**2 + 705399 wrt f.\nAnswer: -1417031040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 26*p - 110. Give j(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + k + 2. Let f be c(5). Let o be -1 - 2 - (-4)\/(8\/14). Suppose -o*x + 69 + f = 0. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 22*u. Let y be j(22). Let v(o) be the second derivative of y - 1\/2*o**2 - 1\/2*o**4 - 11\/12*o**3 + 2*o. Factor v(l).\nAnswer: -(3*l + 2)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 2)\/(2\/60*2). Let h(z) = -6*z + 37. Let d be h(g). Round d to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.337 + -0.037. What is the closest to -1\/4 in 3, o, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 3, 19, 61, 141, 271, 463?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 60*x - 9742. Let w be n(164). Suppose -4*s + 3*f - 4*f + 1767 = 0, 870 = 2*s - 4*f. What is the greatest common factor of w and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 2 - 4 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 2027, 3669, 5327, 7001, 8691?\nAnswer: 10397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-424)\/(-372))\/(16\/6). Let g = -27848\/31 + 898. Let x = b - g. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 4*f**2 + 3*f**2 - 5*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53a + -608?\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-18)\/(-126)*140\/104).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 11*k**5\/60 - 275*k**2 - k. Let t(f) = -4*f - 1. What is h(t(u))?\nAnswer: 176*u**2 + 88*u + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 644*t**2 + 57*t**2 - 337*t**2 + (-3 + 2 + 0)*(3*t**4 - t**4 + 0*t**4) to x*t**2 + b + k*t**4 + r*t**3 + u*t and give x.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 177*b - 938. Let f(w) = 35*w - 188. Let y(o) = -11*f(o) + 2*z(o). What is the thousands digit of y(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 115962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -97*a**6\/30 - 193*a**3\/3 - 388*a**2. Find the first derivative of l(o) wrt o.\nAnswer: -1164*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145 less than -917?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -96, -154, -266, -450, -724, -1106?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*w - 35, -2*g = -5*w - 0*w. Let h be 49 + w*(-3)\/6. Suppose 2 = -f, -3*a + 44 = 34*f - 32*f. Calculate the greatest common divisor of a and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = -34. Let b(c) = 2*c**2 + 33*c + 5. Let a be b(z). Let w be 4*(-4 - a\/(-4)). Calculate the greatest common divisor of w and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25632 + 0.17275.\nAnswer: -25631.82725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567887 is divided by 13670?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v + 6*v - 15*v + 44*v + 59*v.\nAnswer: 160*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**3 - 867*l**2 + 1010*l - 292. Let g(f) = 19*f**3 - 1735*f**2 + 2020*f - 583. Let m(q) = 4*g(q) - 7*h(q). Let m(c) = 0. What is c?\nAnswer: 1\/2, 2\/3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8966566, 17933130, 26899694?\nAnswer: 35866258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 50552438 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 + u**3 + 0*u**3 - 4*u**2)*(0 + 3 - 1)*(-2 + 0 + 18).\nAnswer: 32*u**3 + 96*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(1\/5). Let t(o) = -3 + 5 - 2 - 2*o + o**3 + 4*o**2. Does 4 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2864, -3, -9, 3, 5, -4, -1.\nAnswer: -9, -4, -3, -1, 3, 5, 2864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 12. Let f(c) = 3*c**2. Let i be f(1). Calculate the lowest common multiple of (-21)\/2*w\/i and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Suppose -n*k + 4 = -4*k. Solve -g**4 + g**5 + 2*g**k - 2*g**4 + g**2 - g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**3 + 118. Let m(c) = 7*c**2. Calculate m(u(l)).\nAnswer: 252*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 15685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -566*n - 4572. Calculate l(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 0 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -574891 and -59384563.\nAnswer: -59959454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 330*f**2 - 2*f + 2. Let r be d(-1). Suppose -4*p + r = -34. What is the highest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 147 - 7229*s.\nAnswer: -7229*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -660, -2283, -5024, -8883?\n\"Answer: -559*g**2 + 54*g - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 22. Let j(t) = -9*t - 4. Let s be j(h). What is the second derivative of -4*x**5 + 88*x - 84*x - 4*x**s wrt x?\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = k + 37, -144 = 7*k - 4*p + 115 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/30 - p**4\/24 + 5*p**2. What is the second derivative of h(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxm when three letters picked without replacement from zmgxxxuummmmmgxu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1976\/5 + -395. Let d = -5.2 + 9.8. Let y = -0.6 + d. Which is the nearest to 1\/2? (a) y (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1736 and -80\/21.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -231, -336, -667, -1338, -2463?\n\"Answer: -19*a**3 + a**2 + 25*a - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14596040 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + i**4\/6 + i**3 + i**2. Let u be f(6). Let n(j) = j**3 + 7*j**2 + 7*j + 4. Calculate n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 142, 1.4, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 14*n**2 - 1553*n - 57. Give z(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.09, -624, 2\/1877.\nAnswer: -624, -3, 2\/1877, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 16be?\nAnswer: 16d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -13*(-4 - -6 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/24*y**4 + 1\/60*y**6 - 3*y**2 + 0*y + 0*y**5 + 0*y**3 + 0. Find the second derivative of m(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 8950879.\nAnswer: -35803516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -11*m - 8. Let c(k) = -2*k**2 - m + 2 + 0. Let q(h) = 12*h**2 - 12*h. Let a(v) = v**2 + 2*v. Let d(n) = -6*a(n) - q(n). Determine c(d(b)).\nAnswer: -648*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1275\/4 - 306. What is the common denominator of r and 27\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73862408*z - 57714925.\nAnswer: -73862408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*t - t. Suppose -t = -3*g + 2*g + 3*v, -2*v + 41 = 3*g. Let b(m) = -2*m**2 + 30*m - 25. What is the remainder when b(12) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n + 3*u + 79, 3*n - 4*u + 28 = 0. Let z = 22 + n. Is 7 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 102 = -2. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/105)\/((-1680)\/(-57400)) and -121\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atz when three letters picked without replacement from {t: 1, a: 1, z: 1, b: 2, x: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let j(l) be the first derivative of 50*l**3\/3 + 3*l**2\/2 - 619. Calculate c(j(k)).\nAnswer: 50*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 78. Let v = m - 71. Is -75 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -19069074 - t**2 + 0*t**2 - 2*t**2 + 16266*t - 2979489 = 0?\nAnswer: 2711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = -5*v. Suppose 0 = 4*c - v + 6. Let y be 0\/c + 6\/(12\/4). Let d(s) = s**2 - 3*s + 3. Calculate d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10071, 20311, 30857, 41865, 53491?\nAnswer: 65891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*(-23 - (21 + -36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - r - 5*r)*(3 + 2 - 3)*(-r + 0*r - 2*r) + (-2*r - r + 2*r)*(-2*r + 4 - 4) to j*r**2 + a*r + t and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2. Let q be s(-1). Let x(r) = -2*r - 6. Let z be x(-7). Let p = z - 4. Sort 5, p, q in descending order.\nAnswer: 5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2304) + -4*sqrt(2304)*-2 + sqrt(2304)))\/(5*(sqrt(80) - (sqrt(80) + (-1*sqrt(80) + sqrt(80))*1 + sqrt(80)))\/sqrt(10)).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 2*u - 64 = 0, 3*w + 121*u - 126*u = -0*w + 102 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(700))*1 - sqrt(700) - 3*(sqrt(700)*-1 - sqrt(700))**2) + -4.\nAnswer: -8407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.12, -57 in ascending order.\nAnswer: -57, -1, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731, 1540, 2337, 3116, 3871?\nAnswer: 4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-1 + sqrt(1539))*-1 + (sqrt(1539) + 1 + 5 + sqrt(1539) + (sqrt(1539) + 1)*-4)**2.\nAnswer: -81*sqrt(19) + 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-24)*-1*1368\/380)\/(9\/5)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + 817?\nAnswer: 7e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(20\/(-36)). Let a(n) = 0*n + n**2 - 5*n + 6*n. Let c be a(0). What is the nearest to 2\/3 in w, -1, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.42 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10012 - 52421?\nAnswer: -42405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -2\/9, -1.5, 3\/5.\nAnswer: -93, -1.5, -2\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29255262 is divided by 326?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l*l\/(l**(3\/5)*l)))*l)\/l)**(-1\/40)*(l**(-11\/2))**(-10\/13) assuming l is positive.\nAnswer: l**(10909\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5459?\nAnswer: 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 37. Suppose 0 = -p + w + 5. What is the least common multiple of 6 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15016, -30056, -45120, -60208, -75320?\n\"Answer: -12*k**2 - 15004*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 2010\nAnswer: 76380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/13879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o + 950 = -26*o - 890. Suppose 4*j = 2*j - 5*i - 37, -13 = 3*j - i. Let w be 5\/(o\/j)*(-8)\/(-6). Solve 0 = -w*u - 2*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**4\/2 + 3*y**2. Does 6 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89848 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + n = -13, 6*v + 52 = 2*v - 2*n. Let l = v - -19. Suppose 21 = s + l. What is the highest common factor of s and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958 = -q - n, 3376 = 3*q - 3*n + 520. List the prime factors of q.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(1568) + sqrt(32).\nAnswer: 1 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1.2 (b) -4718\/17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.2 (b) 2\/29 (c) -6 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 609 in 4, -0.3, -2.2, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -129, -195, -261, -327, -393?\n\"Answer: -66*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*d - 14, -3*d + 3*s - 27 = -7*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/t**6)\/t)*t*t\/((t*t**(6\/13))\/t)*t*t assuming t is positive.\nAnswer: t**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 10*i + 21. Calculate w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*3*88\/60.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrfnerrffefffee. What is prob of sequence frrf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**6\/72 - d**5\/6 - 5*d**4\/8 + 5*d**3\/6 - 34*d. Let p(n) be the second derivative of r(n). Suppose p(y) = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/8 (b) 30 (c) -1\/18 (d) -0.3 (e) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 280*m + 2400.\nAnswer: 4*(m - 60)*(m - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56744452 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8800 = -3*f + b, 2*f - 8*b = -4*b + 5870. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-6))\/(k**(-1\/5)\/k))\/(((k**(-1\/2)\/k)\/k*k)\/k)**27)**(7\/4) assuming k is positive.\nAnswer: k**(4459\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2864421*0.4\nAnswer: -1145768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006413776 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2379.9630742 minus 2.6621?\nAnswer: -2382.6251742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 6, 2, -10 in decreasing order.\nAnswer: 6, 3, 2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 807663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.84 - 37. Let d = 0.04 - x. Let u = -34.200181 + d. What is u rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8658*i - 1 - 4309*i - 2*i**3 - 4324*i - 2 as b*i**3 + j*i**2 + y*i + z and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tetttteeetttetee. What is prob of sequence teet?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 656, -3, 12, 3 in ascending order.\nAnswer: -3, 3, 12, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103038 divided by 2?\nAnswer: 51519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 13*w**2 + w + 16. Let z be s(-13). Let p be (-3)\/(z + (-81)\/30). Calculate the remainder when 55 is divided by (84\/30)\/((-2)\/p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.019 - 0.109. Let l = 1.9023 - o. What is l rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66991, 133971, 200949, 267931, 334923?\n\"Answer: v**3 - 7*v**2 + 66994*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-29)*f*f**14\/f*f*(f\/f**(-26)*f)**9)**11 assuming f is positive.\nAnswer: f**3267","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 + 158 = -t + 3*w, 0 = -2*w + 4*w + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 454*v**2\/7 - 5224*v\/7 - 13760\/7.\nAnswer: -2*(v + 4)*(v + 8)*(v + 215)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(1 + 150\/(-9)). Let k = -17 + r. Sort k, -7, -1, -0.5 in decreasing order.\nAnswer: -0.5, -1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10026*z**2. Let p(s) = -s. Determine p(k(q)).\nAnswer: 10026*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus -6.70948935?\nAnswer: 4.29051065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -2) + (12 - 1) - 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 926 and 2342780.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/15 - (-1014)\/30. Suppose 3*k - 31 = k - 5*l, 3*k - z = -5*l. Solve -2*x - k + 0 = -f, -3*f - 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Suppose 0 = -4*d + 3*m - r + 83, d - 20 = -5*m. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -2*j + 14, -t = 2. Suppose j - 3 = x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 99.\nAnswer: 104\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9184?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(5\/2))\/u)\/u*u)**36 assuming u is positive.\nAnswer: u**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9138750 divided by 7311\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16959 smaller than -3\/152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:47 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 10*k + 3. Let t be z(-10). Suppose 47 = t*c - 19. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -8. Let j = -37 + o. Which is the closest to -1? (a) j (b) 2\/9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 2*w + 0*l - 6 = -l, -7*w - 4*l - 4 = -31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 951008 + -134407. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101195 is divided by 50522?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4998677 is divided by 275.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 23*d + 14*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5738 and 60.\nAnswer: 172140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let f = 209 - 209. Suppose 4*c = 65 - 5. Suppose h - 5*q + c = f, 0*h = -2*h + q - 12. Let z(k) = k**2 - 5*k. Calculate h*t(p) - z(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from xnpnxppppixbh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.2535766 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, -1\/8, 2\/11, -15.639 in decreasing order.\nAnswer: 3, 0.4, 2\/11, -1\/8, -15.639","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 12, -1158, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -4\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -112 (c) 0 (d) -5113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 4*y - 31. Determine f(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j - 2. Let s be g(2). Let b = -23 - -45. Suppose 0 = -h - 6 + b. Calculate the greatest common factor of s and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*-6*5\/(-100)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 7*s - 2*s. Let o = -12 - s. Is o a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 - 57189*y**2 + 743964*y = 0.\nAnswer: -19076, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 6*f - 3. Let w be j(5). Suppose w*a - 1 - 5 = 0. Suppose 8*c = a*c. Solve c = u + 5*h + 3, -2*h - 3 = -3*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x - 4. Let j = 4 + -1. Calculate the remainder when 7 is divided by t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*y - 496 + 74, 419 = -5*i - y. Let f be (2 + i)\/(2 + -1). Let z = f + 121. What is the highest common divisor of 39 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 t when three letters picked without replacement from tjmjmtmjjfjtfjfmjff?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11342.3 + 11115. Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -24)\/((-73)\/((-241995)\/(-78)))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/32)\/(27\/36)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1879714*d**4*h**3 + 2*d**4 + 1557*d**2*h**3 - 8*d*h**3 - 20*d*h wrt d?\nAnswer: 45113136*d*h**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -77*t**3 + t**2 - t + 1. Calculate z(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3006301 (base 8) to base 11.\nAnswer: 49a347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*b - 152, 5*b - 12 = 13. Put -4, 3, o in ascending order.\nAnswer: -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_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: Let k = -33 - -33. Suppose t - 21 = -4*c - 6, 5*t + c - 37 = k. Let f = 32 - 22. Solve -t*u + 2*u + f = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iexeiihxhhxxe. What is prob of sequence ihie?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 5*g - 11. What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 0. Let k(s) = 3 + 11*s**2 + 0*s + 3*s - 10*s**2. Is 3 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + 4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 4. Let d be 1\/(m\/6) - (-66)\/(-30). Which is the nearest to 1? (a) d (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -194. Let i(g) be the first derivative of 0*g - 6 - 10\/9*g**3 - 1\/10*g**5 + 2\/3*g**2 + 7\/12*g**o. Factor i(y).\nAnswer: -y*(y - 2)**2*(3*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {c: 2, l: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 9 = 5*b, 943 = s + 3*b + 940 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 631862 and 3388?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1477424*t**2. Let j(n) = 5*n**2. Give g(j(o)).\nAnswer: -36935600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 + 6*t - 3*t**2 - 154 in the form z + x*t**2 + g*t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/6)*z*z\/(z**(2\/15)*z))\/(z**(2\/9)*z**(-2\/3)) assuming z is positive.\nAnswer: z**(193\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*y + 112031060*j - 6016*y + 4332 wrt j.\nAnswer: y + 112031060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344382222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/39)*r**(-2\/37)*r*r*r)\/(r**6\/r)**18 assuming r is positive.\nAnswer: r**(-125545\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(2\/(-51)). Let t = 59 + h. What is the tens digit of (4\/6)\/(1\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200092.\nAnswer: 2, 300023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101101?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) -1\/5 (c) 1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7003 = -3*h - 2*f, 0*f = -2*h + 4*f + 4658. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 255 - 77584?\nAnswer: -77329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = -5*s. What is the smallest common multiple of -10*(-3 - s\/(-3)) and 3\/1*8\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-36))\/(3\/24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49 (b) -3 (c) -0.5 (d) 86 (e) -0.0319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27352634 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00894 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 141 and 5?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -44. Let h = x + -32. Let n be ((-16)\/(-5))\/h*(-20)\/(-1). Solve -f = -5*o + 2*o + 11, 3*f - 4*o = -n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h + 2*h**2)*(-2 + 2 - h) + (-1 + 0 + 0)*(31468 - 5993*h**3 - 31468) as r + v*h**3 + t*h + p*h**2 and give v.\nAnswer: 5991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.2. Let q be 3*14\/18 - 2. What is the second biggest value in -5, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 7*u - 6. Let s be (-711)\/158*(-14)\/9. Suppose 2*c - s*c = -a, -5*a + 2*c = 23. Calculate d(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23302 (base 5) to base 14.\nAnswer: -898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 43*h**2 + 39*h + 28. What is the thousands digit of s(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1719 + 1920. What is the least common multiple of z and 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 3*i)*(3*i**3 - 4*i**3 + 0*i**3) - 15*i**4 - 3*i**4 + 7*i**4.\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 106497760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5*m - 2. Solve 0 = -3*x + m*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-21)\/(-414)) + -3. Suppose -25*s = 1261 - 2372 - 1889. Calculate the greatest common divisor of v and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + ((sqrt(60) - (sqrt(60) + 1*sqrt(60)) - sqrt(60))\/sqrt(12) - sqrt(5)))**2*5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -423006.186 and -4.\nAnswer: -423010.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y = -47*y - 3*i - 18, -4*i = 3*y + 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 447932171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 4*q + (-2 + 3 + 3)*(2 - 8*q - 2) + 66*q - 29*q - 21*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -120210?\nAnswer: -120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**3 + x**2 + 5*x + 5. Let r(t) = -10*t**3 - t**2 - 4*t - 4. Let o(l) = 4*c(l) + 5*r(l). What is the third derivative of o(p) wrt p?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-21))\/(156\/42 - 0).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 0*a - 5 + 6*a - 24 + 6. Let f be q(-9). Let y(i) = -4 + 5*i - f*i + 4 + 2. Determine y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. What is v in 46*v**3 - 22*v**2 - 3*v**5 - 14*v**5 + 8 + 3*v**5 - 36*v**2 + 8*v + 10*v**t = 0?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1496 + -1496.0141. Round q to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**6 - 86*r**2 - 70*r**2 - 81*r**2 + 23*r**5 + 54*r**2 wrt r?\nAnswer: -480*r**3 + 1380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(3\/462). What is the common denominator of 67\/12 and y\/(-8) - (1 + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from ppjjp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -693, -692, -691, -690, -689?\n\"Answer: v - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -8. Let o be (j\/(-3))\/(4\/234012). Let x be 4\/(o\/(-13000) + 3). What is x rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3581, -14290, -32137, -57122, -89245?\nAnswer: -128506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -93*r - 1. Let x be b(-1). Is 15 a factor of 18*(x\/8 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -984\/5 - -196. Which is the closest to -2\/3? (a) o (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/644 and 51\/490.\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times -2.3?\nAnswer: -517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a)**(16\/7)\/((a*a**(-17))\/a*(a*a\/(a*a\/a**(13\/5)*a))\/a*a*a) assuming a is positive.\nAnswer: a**(744\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5213 + 0.53. What is z rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + -4*(sqrt(245) + (2 + sqrt(245) - sqrt(245))))**2*-1.\nAnswer: -4092 - 728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 16 - -15) + (1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) -2 (c) 4\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 73 + 2. Suppose -5*s - h = -10*s. Let f(v) = 2*v - 2*v - v. Let u(d) = 3*d. Give s*f(x) + 2*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -10. Let f = y - -21. What is the highest common divisor of f and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 17651032?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8522\/4)\/(3\/6). Let x = z + -6614. Let s = -1502 - x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-8) - 24\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12942 or -12946?\nAnswer: -12942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 8, b: 6}. Give prob of sequence bjeb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102354205.\nAnswer: 5, 20470841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 32*m = -1864140. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 4 (c) 0.04 (d) -3 (e) 6181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41740.83895 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1236532 - 3?\nAnswer: 1236528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 234702 + 2?\nAnswer: 234704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/468 and 1\/((-3)\/(-6)*-12)*4\/4?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41172 divided by -6?\nAnswer: -6862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 499 = -5001. Which is smaller: v or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.712*-0.8.\nAnswer: 0.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187719 - m - 187719.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154757639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 69\/21. Suppose -l*c = -6*c. Suppose -5*m + 1 + 19 = c. Let g(s) = -2*s + 5. What is g(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 666184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/15 - c**5\/60 - c**4\/24 - 9*c**2. Let z = -950 - -949. Calculate d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142679*h**3 + 77636*h wrt h.\nAnswer: 856074*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3389048 divided by -6?\nAnswer: 1694524\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + (sqrt(66)*-1 - sqrt(66)))*-2*2)\/((-1*sqrt(600) - sqrt(600))*-1))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5260836131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299 + 901 - 1164190*j**2 + 1163519*j**2 wrt j.\nAnswer: -1342*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/(-4))\/(-28 + 18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210 + 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**8\/5040 + h**7\/420 + h**5\/5 - 2*h**2. Let f(j) be the third derivative of y(j). Let f(b) = 0. Calculate b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1163128653033.\nAnswer: -1163128653032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25034 and -1.2.\nAnswer: 30040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15361629*b*w**3 - 181417*b*w - 2*b wrt w.\nAnswer: 92169774*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 12. Let v(d) = -3*d + 10. Let y(o) = 5*v(o) + 4*w(o). Calculate y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339\/2 < 670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-11\/4)\/l)\/l)**9\/(l*l**(-15)*l**(-19\/5)) assuming l is positive.\nAnswer: l**(-499\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 286.6188 years?\nAnswer: 0.2866188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1001, 4.\nAnswer: -1001, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zojovddojozzvqvovzjj. Give prob of picking 1 j, 1 d, and 2 z.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 2073 - 209. What are the prime factors of b?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254252 (base 6) to base 7.\nAnswer: -124025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y - 14. Let z(s) = -6*s + 5. Determine -6*p(g) - 17*z(g).\nAnswer: -6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-3*u**2 + u**2 + 4*u**2) + 4*u**2 + 0*u**2 + 7*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*g**3*s**4 + 4*g**3*s**3 - 27*g**3*s + s**3 + 22*s**2 wrt s.\nAnswer: 2544*g**3*s + 24*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossooskoso. Give prob of sequence ss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034698.\nAnswer: 2, 29, 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1\/15, 34, -9, 2\/19, 0.4.\nAnswer: -9, -0.6, 1\/15, 2\/19, 0.4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) 0.97 (c) -3 (d) 12\/11 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1743 + -1503.8. Let u = 238 - y. Let n = -0.1 - 0. Is n bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15550*10228.\nAnswer: 159045400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2714 and 47\/51566?\nAnswer: 51566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 57. Calculate n(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 4*k. Let p(b) = -4*b + 8. Let q be p(k). Suppose 0 = -4*i + j + 96, -60 = -4*i - j + q. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9 = d, 0 = -f - 5*d + 4 - 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*h + 1 + 7, 4*h - 24 = 4*z. Suppose -h*l - 5*m = -95, -4*l - 47 = -4*m - 187. Suppose l - 112 = -2*i. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t. Let z(w) = 9*w + 37. Let o be z(-4). Let b(y) = -475*y**4 + 105*y**3 + 20*y**2 + 35*y. Let d(c) = o*b(c) + 35*q(c). Solve d(r) = 0.\nAnswer: -2\/19, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 23*h**2 - 9*h - 1. Let z(b) = 83*b**2. What is m(z(k))?\nAnswer: 158447*k**4 - 747*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1286 + 890*p - 1286)*(-3 + 2 - 2)*(5 + 2 - 1) + p + 0 + 0)*(-1 + 0 + 2).\nAnswer: -16019*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 30 = 15*c. Let b(r) = c - r**2 + 3*r**2 - 3*r**2 + 3*r. Suppose -4 = -0*l - l. Give b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 - q - 5. Let y be f(-5). Let h be -2 - (-2 + y) - 0. Suppose -20*g + 25*g + 10 = h. Sort 3, 0, 2, g in decreasing order.\nAnswer: 3, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 + 2 = 0. Solve -2*o + 3*d = -5*o, r = 5*o - 4*d - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 + -253. Which is the second biggest value? (a) 3 (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 330895?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + 1 - sqrt(343)) + sqrt(343))**2 + -3 + 1*(1 + sqrt(343)))*1.\nAnswer: 21*sqrt(7) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**8\/1848 - s**7\/1155 - s**6\/110 + 7*s**5\/165 - s**4\/12 + s**3\/11 + 17*s**2. Solve g(a) = 0 for a.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 3 + 3)*(479*y - 287*y - 5696*y) to f + g*y**2 + x*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(-8 + 6 - 7).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 897*x + 4 - 357*x + 336*x**3 - 2 + 869*x.\nAnswer: 336*x**3 - x**2 + 1409*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19520092.\nAnswer: 2, 1741, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (15 - 7) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24*(-13)\/(78\/(-4)). Suppose -246 = r*p - 3398. What is the remainder when p is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1647 + 365. List the prime factors of u.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**2 - 82*m**4 - 70*m**4 - 2*m**5 - 18*m**2 + 219*m**4 - 83*m**4 - 26*m**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {j: 2, x: 7, m: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924299 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 3*y + 1. Is 10 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399743 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 21*p - 2*p to t*p + v and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -3*d + 3*p, -d + 48 = -4*p - 168 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 362630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*r - 3*y - 18, r = -2*y - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.4 (b) 107 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 240 - 205 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**4 - 2*g**5 + 6*g**4 + (-3*g + 4*g + 0*g)*(2*g**4 - 6*g**4 - g**4).\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 0*p**2 - 2*p**3 - 3*p**2 + p**3 + 1 in the form z*p + q + c*p**2 + b*p**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {y: 4, x: 4, i: 8}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 a when four letters picked without replacement from {a: 12, w: 3, i: 2}?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-4))\/(j**4*j))\/(j*j**(2\/5)*j)**(-43) assuming j is positive.\nAnswer: j**(481\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1441204024 (base 5) to base 7\nAnswer: -44504663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (8 + -7) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 1100110000110?\nAnswer: 1100110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 289*b + 828. What is n(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76 + 47*g**2 - 76 + (68*g**2 + 441*g - 441*g + 2*g**2 - 3*g**2 + 2*g**2 + (1 + 2 - 5)*(-2*g**2 - g + g) - 2 + 2 + 2*g**2)*(4 - 1 - 1).\nAnswer: 197*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -41, 9, 47, 959, 4 in descending order.\nAnswer: 959, 47, 9, 4, -1, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036382 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**4 - 4*u**3 + 8*u. Let r(y) = 5*y**4 - 3*y**3 + 7*y. Let v(f) = 3*b(f) - 4*r(f). Find the second derivative of v(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4071 and 21.\nAnswer: 28497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m\/(((m**(1\/4)*m*m)\/m*m)\/m)))\/m*m*(m\/(m*m**(1\/9))*m)\/m assuming m is positive.\nAnswer: m**(77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 + 194907*n**2 + 389811*n.\nAnswer: 3*n*(n + 2)*(n + 259874)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*r + 2)*(2 - 4 - 3)*(r**4 - 2*r**4 + 2*r**4).\nAnswer: -15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -12. Let t(l) = l + 3 + q - 1. Let v be t(-6). Solve 4*j = -0*j + 3*f + 21, 4*j + v*f - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3176 and 456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73274 (base 9) to base 6.\nAnswer: -1011451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471.1054 grams to milligrams.\nAnswer: 471105.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 3*z**2 + z**2. Let a(m) = 3*m**2. Give a(v(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17d4b65 - 4?\nAnswer: -17d4b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*z + 7 = 0, 6 = -9175*p + 9175*p - 24*z + 26*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.057, 2\/5, 5 in descending order.\nAnswer: 5, 2\/5, 1\/5, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 + 3*u + 2. Let q = -1 + 3. Let w(x) = 13*x**2 - 7*x - 5. Let o(b) = q*w(b) + 5*s(b). What is the second derivative of o(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1506*c**2 + 92*c?\nAnswer: -3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.98. Let g = p - -0.08. Let t = 305 - 310. What is the third smallest value in g, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.976 + -11. Let i = h + 0.16. Round i to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2800, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -5*i + 90, r = -4. Let a(x) = x**2 + 3*x - 14. Does 14 divide a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11633*l**3 - 3952*l**3 - 3850*l**3 - 3830*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 - y**2\/2 - 1. Let n be w(-1). Solve -j + n = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.954 to 0 decimal places.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179745?\nAnswer: 3, 5, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:02 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -1. Suppose 0 = n - 2*v, -4*v - v = -4*n. Let p be n\/1 - 3\/4. Which is the biggest value? (a) t (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-10))\/(1\/8). Suppose 2*b + 0*q = 2*q + 4, j*b - 24 = -4*q. Is b\/(-10) - 3960\/(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s + 9. Let i be k(-7). Let q = 89 - i. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**5 - 14*h**3\/3 + 11. What is the third derivative of x(i) wrt i?\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 + (-15 - (7 + -6))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/15*(-377)\/2 is divided by (-122)\/(-732) + (-166)\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453834319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326 (base 11) to base 10.\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8) + (-966)\/(-184))*(-20)\/(-55). What is the second biggest value in k, -4, 1\/3, 5\/3, -2\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s + 18. Let z be (36\/s)\/((-2)\/15). Let k be 1 + z\/3 - 2. What is the highest common divisor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -d?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5215 by -149.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3873 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 = 3. Let g(i) = -14*i**3 - i**2 + 1. What is the units digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*l - 118, 3*l = p + 4*p - 185. Let u = 15 - l. Let s(q) = q**2 + 3*q - 4. What is the remainder when u is divided by s(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 12. Find the third derivative of -5*a**6 + p*a**6 + a**2 + 2*a**2 wrt a.\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12999769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -132100812 divided by -18?\nAnswer: 7338934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 166216 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 817079 - 232128. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538138*l**3*r**3 - 468*l**3*r**2 - 439*l**3*r - 2*l*r**3 wrt r?\nAnswer: 3228828*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.6. Which is greater: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0 + 5*m**2 + 2*m**3 - 42*m - 1\/12*m**4. Let c(g) = 2*g + 1. Let y(j) = 3*c(j) - d(j). Calculate y(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16160 and 9804272.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-76 - -76) + -19 + -53\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 804702674 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -109*u**2. Let p(f) = 7*f - 9. Let y(o) = 3*o - 3. Let r(k) = p(k) - 2*y(k). Determine r(i(j)).\nAnswer: -109*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z - 829*z = 327*z + 46920 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4808 - 4807. What is the smallest value in -2\/7, -2\/9, t, 0.12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/36))**(-43)\/(b\/(b*b**(7\/4))*((b\/b**(5\/7))\/b)\/b) assuming b is positive.\nAnswer: b**(143\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, i: 2, h: 2, c: 1}. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-80)\/38 + 4068\/(-342)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let u = 1094.5 - 1094. Which is the closest to f? (a) 0.3 (b) u (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 550 and 0.107548044.\nAnswer: 550.107548044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/(-2*1). Let t = 119 + -1311\/11. Let z be (-10)\/(-9)*(-912)\/(-760). What is the closest to -0.1 in t, z, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -13. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283830891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + -4 + (-9 - (-420 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 2*q - 395540 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 1\/9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*v = 4*v - 12, v - 4 = -d. Suppose -i + g = -4, i + d*g + 16 = -0*i. Solve 2*u - 2*c + 22 - 8 = i, u - 3 = -c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 399.\nAnswer: -2\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 21*p**3 + 11*p**2 + 25*p. Let v(w) = 10*w**3 + 6*w**2 + 13*w. Calculate -11*v(c) + 6*y(c).\nAnswer: 16*c**3 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12419215 is divided by 3104791.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:02 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 162 = 5*m, 0 = 2*o - 2*m - 3*m - 66. Let w = 41 - o. Suppose -5*k**w - 15*k**2 + 20*k**2 + 2*k - 2*k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 0 (b) -37 (c) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 609?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 162*g**2 + 664*g - 2. Give p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-21)*v**(-21))**45)**(-2\/43) assuming v is positive.\nAnswer: v**(3780\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - 5*h. Let g = -3 + 6. Let v(m) = -2*m**2. Give g*v(b) - 8*t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*p**3 + 2*p**4 - 248*p**3 - p**2 + 6*p**2 + 120*p**3 - 1 to the form o*p**3 + t*p**2 + j*p**4 + a + z*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19580)\/1068)\/((-70)\/168)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.27297ug to grams.\nAnswer: 0.00001027297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -2*x. Calculate the greatest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:20 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/3 + 7706*c\/3 + 91608 = 0. Calculate c.\nAnswer: -3817, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 + 5*z + 4. Let l = -3 - -8. Let g be w(l). What is the greatest common factor of g and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35452652 divided by -1?\nAnswer: -35452652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s - 2 = 0. Suppose 2 = h - s. Suppose 0*w = h*w - 52. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 6. Let v be j(-5). Let i = 20 - v. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -23.1. Let l = 1 - 2. Let q be 44\/(-24) - (-1 + l). What is the nearest to t in q, 0, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-1)*-4*(-17)\/(-204)*1.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234810226 + 11568172*h**2 + 709603774*h + 2\/11*h**5 + 69276*h**3 + 2018\/11*h**4 = 0.\nAnswer: -253, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 803 - 323 = 0. Let x be (0 + -3)\/(-3)*16\/o. Factor 8\/5*f**2 - x*f**3 + 4\/5 - 2*f.\nAnswer: -2*(f - 2)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-20) + (-2720)\/2040 + (-83)\/(-60)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(((v\/v**(-1\/3))\/v)\/v))\/v*v**(-1))\/(v**1)**(2\/11))\/((v*v*v**(1\/11))\/((v*v*v\/v**7)\/v))**35 assuming v is positive.\nAnswer: v**(-8207\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-4284)*9\/6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -65*d**6\/6 - 2*d**3 + 10*d + 4. What is the third derivative of v(z) wrt z?\nAnswer: -3900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-55) - 2\/(-2). Put 12, -5\/4, i in descending order.\nAnswer: 12, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4842 in increasing order.\nAnswer: -5, 5, 4842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30))\/((-546)\/(-195))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203905379?\nAnswer: 3, 19, 67, 239, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 4*(2 + -3). Suppose 9 = -o*u + 6*u. List the prime factors of u + -9 + 3 + 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 1:08 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 0 + 0)*(3 + 27*z**2 - 58*z**2 + 29*z**2) in the form d*z**4 + l + v*z**3 + t*z + j*z**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.073, 0.1, 5, 0.2?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 + -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221*m**2 + 638*m.\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*(-117)\/(-26). Suppose y*c + 6 = -2*l, -4*c - l - 12 = 3*l. Differentiate -3 - 14*s**4 + 0*s**3 + 13 + c*s**3 with respect to s.\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/22 + 120\/(-440). Suppose -21*d + 67624 + 112283 = b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -7.586?\nAnswer: 2.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 - 2. Let l(i) = 31*i**2 + 3*i + 4. Let c(j) = 63*j**2 + 5*j + 10. Let z(g) = 3*c(g) - 5*l(g). Give 14*h(s) + 3*z(s).\nAnswer: 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -52. Suppose 16*h - 6 = y*h. Solve -j - 7*a + 3*a + 8 = 0, -h*j = 5*a - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 971.\nAnswer: 16507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -670 + 995. Suppose -315 = -4*s + u. Suppose -s - 50 = -6*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 630701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2340 - -2?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242938696 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -246 + -3?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*f + 172*f - 24 + 128 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22*j = 80. Suppose -3*c + 2*m + 51 = 0, -j*m - 68 = -0*c - 4*c. What is the highest common factor of c and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 11210880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304) - (sqrt(304) - (-1 + sqrt(304)))))**2 + -1*sqrt(19) + -1.\nAnswer: -17*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -4)*1050\/63*-39714. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 248*q + 14077. Calculate x(88).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 9:08 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + -2 - sqrt(17)) + (-1*sqrt(272) - sqrt(272)) + 0.\nAnswer: -8*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1230, -2695, -4134, -5535, -6886, -8175?\n\"Answer: 2*n**3 + n**2 - 1482*n + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12535*s - 915039. Calculate n(-73).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/((-1)\/3). Suppose -3*t = -9, -b*t = -17*x + 16*x - 9. Solve v + 6 = -2*w - x, 0 = 2*v - 2*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 210396?\nAnswer: 1\/105198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(1 + 0 + 0)*(14 - 7 + 0)*(2*j**3 - j**3 - 2*j**3) as a*j**3 + x*j + g*j**2 + l and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004937472 to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:21 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -694.1224864 and -0.13689?\nAnswer: 693.9855964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57564942407 + 0.5.\nAnswer: 57564942407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -15, -0.3, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -114*l - 5. Let c(t) = -3*t - 4. What is -2*c(w) - o(w)?\nAnswer: 120*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867898?\nAnswer: 2, 409, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -978a0c (base 14) to base 12\nAnswer: -1876770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 45\/4 (c) 0.01 (d) -0.5 (e) -1.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g. Let b(k) be the third derivative of 19*k**4\/6 - 794*k**2. Calculate 4*b(u) - 11*m(u).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 1460?\nAnswer: 1459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413 + 387 + 2*i - 8*i + 0*i.\nAnswer: -6*i - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4658*l - 1978*l + 8894*l.\nAnswer: 11574*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.786049 kilograms to micrograms.\nAnswer: 5786049000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -25) + (0 + -4 + -32 - -1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 6303?\nAnswer: 12606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 1, b: 12}. Give prob of picking 1 x and 2 b.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 27*d + 24. Let f be (0\/5)\/d*1. What is the closest to -0.06 in f, -2, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anwpabwbpwib. What is prob of sequence pni?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*j + 2*s + 54 = -615*j, -2*s - 34 = -2*j. Solve 10*v = 11*v + 5, 5*a + 3*v = -j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21043441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let m = 96 + -81. Calculate the remainder when m is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.085586 millennia to centuries.\nAnswer: 0.85586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 11 (c) 7114 (d) -1.4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*k + 2*k. Suppose k*x - 2*x = -6. Suppose c - 2*c = 0. Sort x, -2, c.\nAnswer: -2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 36, 63, 90, 117, 144?\n\"Answer: 27*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 5 (c) -2080.5 (d) -3 (e) 2 (f) -2 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 31*d - 8. What is j(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 582 + -852. Let k = -4819\/18 - j. Calculate the common denominator of k and -3\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 13527 in increasing order.\nAnswer: 5, 6, 13527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(27)\/(sqrt(36) + sqrt(36)*3 + sqrt(36)))**2 - (2 + sqrt(300)*1).\nAnswer: -10*sqrt(3) - 47\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12474 and 7.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2457+-1751210.11\nAnswer: -1753667.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2028 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 - 5. Let v = p + 0.4. Put v, 3, -3 in decreasing order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 96370544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9256.802 + 3\nAnswer: 9259.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29118, -116471, -262066, -465903?\n\"Answer: -29121*n**2 + 10*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -15. Let o(g) = -2*g + 1. Let n be o(-4). Suppose 39 = 4*x - n. What is the greatest common factor of k and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (2 + -3)) + 41. Let h = -22 + c. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j. Suppose 0 = -3*d + 43*o - 41*o + 33, -2*d = -5*o - 66. Sort j, -3, d in descending order.\nAnswer: d, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Suppose -2*q - 100 = b*q. Let t = -13 - q. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 3, l: 2, b: 10, s: 5}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*k - 3. Let p(i) = -2*i + 12*i + i. Calculate p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -35.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 474\/1106*(70\/(-8))\/5\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63279 and 0.5?\nAnswer: -31639.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 2. Let l = -6 - -13. What is the remainder when 13 is divided by i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*a**2*d**3 + 16387*a**2*d**2 - 25*a*d**5 wrt d?\nAnswer: -1194*a**2 - 1500*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grfg when four letters picked without replacement from {f: 4, k: 1, r: 2, g: 2, t: 5, n: 1}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 724 and 1966356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(162)*-1 + 5)**2.\nAnswer: -90*sqrt(2) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 20. Let u(i) = i + 3. Let t(c) = p(c) - 6*u(c). Give t(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 17*d**2 - 18*d - 3. Give q(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.85 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2281 and 337768199?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 + 4*h - 5. Suppose 284 = -32*i + 33*i. Let n = 289 - i. Let k(w) = -20*w**2 - 10*w + 12. Determine n*k(g) + 12*v(g).\nAnswer: -4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 853502524 from 141.1.\nAnswer: -853502382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*h + 422, 3*h = -3*u - 167 + 557. Calculate the remainder when u is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/2*(22\/(-297) - 2350\/(-1269))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140967 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 79218591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9264125 is divided by 174794?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.3, -0.1, 2, 45.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420137 (base 8) in base 9?\nAnswer: 671674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902125 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: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - r + 2 = 0, 11*y - 9*r + 18 = 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -771 - -774. Suppose c = 2*z - 6, -5*c = -2*z - b*c + 2. What is the remainder when 12 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d88d3 (base 16) to base 8\nAnswer: -7304323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(171)*-2*-5)\/sqrt(9) + -1*(1 + sqrt(1539)))*-3)*6.\nAnswer: -18*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-42))\/(2\/14). Let j be 2 - (-3 + 6 + -4 - m). Solve 0 = p + 4*z - 7, -j*p + 7*p - 5*z = -30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 2}. Give prob of sequence fyf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219)\/876 - 50\/(-264)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32203 + 0.02203. Let m(r) = 2*r**3 - 2*r - 5. Let q be m(2). Let w = -237 + 1893\/8. What is the second biggest value in q, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) 9 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-8) - ((-3)\/2 - -2). Solve -2*b - j = b - 5, f*b + 4*j - 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 18, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 15. Suppose -2*v + 5*k = -122 - 433, n = -5*v + 5*k + 1380. What is the greatest common divisor of 25 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(11))**2*6*-1.\nAnswer: -5346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 84 = -13*o. Suppose 6*g - 3*g = -9, f - o = -2*g. Is 13 a factor of 43 - (f\/(-50))\/((-1)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.12 (b) 8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -163, -870, -2047, -3694, -5811, -8398, -11455?\n\"Answer: -235*m**2 - 2*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225516, -225507, -225486, -225447, -225384, -225291, -225162, -224991?\nAnswer: -224772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -22. Let a = 48.349 - -0.751. Let x = a - z. What is the nearest to x in -1, 3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1053*s - 1049*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 702 or 13364\/19?\nAnswer: 702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -11*u - 59 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*k + 0)*(-2 + 1 + 3) + 1 + k - 1)*(14 + 15 + 4).\nAnswer: -99*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 - 3. Suppose 0 = 5*t - y*k - 1520, -6*k = -3*t - 2*k + 904. Suppose -3*w = w - t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - q. Let v be f(1). Let c be -2 + v + (-3 - -2). Put -4, c, 1 in descending order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 102 + 38 = 0. Is 16760\/w*(2 - 1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 + 9*m - 7*m - 4*m + m**3. Let k be p(-9). Calculate the greatest common divisor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1\/5, -16.7 in descending order.\nAnswer: 3, 2, 1\/5, -16.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008429 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/20*5*-1. Solve -4*y + y + 14 = w*m, 0 = -3*m + y + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**0)**(-2)\/(y\/y**(-2))**14 assuming y is positive.\nAnswer: y**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-16)\/(-108))*-1. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 - 664*i**3 + 17292*i**2 + 7238376*i - 21852990 = 0.\nAnswer: -85, 3, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2299) + -5 + (-3*sqrt(2299)*1)**2 - ((1*sqrt(1216) + 5*1*sqrt(19))**2 - ((sqrt(76)\/sqrt(4))**2 + -2 - (sqrt(114)\/sqrt(2))\/sqrt(3))).\nAnswer: -23*sqrt(19) + 17492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 39*o**4 + 36*o**3 + 1296*o**2 - 5184*o + 3888.\nAnswer: 3*(o - 6)**3*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = -1, 57 = -w - 3*f. What is the tens digit of (-2)\/(141\/w - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose 0 = -3*c + 6 + 3. Let h be 2\/(-1 - c\/(-2)). Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9337, 367, 5 in decreasing order.\nAnswer: 367, 5, -9337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(102) - (sqrt(102) - (1*sqrt(102) - sqrt(102)))))\/(sqrt(42)\/sqrt(7)*1 + sqrt(6))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1596 by -3.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*k - 6*k - 108 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 2*g**4 + 103*g**2 - 196*g**2 - 2 + 0*g + 127*g**2 to the form j + x*g**3 + s*g**4 + c*g**2 + o*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33640 and -0.454?\nAnswer: 15272.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 38. Let a be h(-6). Let p be 12\/16 - 1*a\/(-8). Let f be p*((-15)\/(-21) + (-2)\/(-7)). Is f equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189357 and 2413?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 91990465.\nAnswer: 827914185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8545, 34200, 76959, 136822, 213789, 307860?\nAnswer: 419035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17052, 17060, 17068, 17076, 17084, 17092?\n\"Answer: 8*t + 17044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from fddzttze?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-110)\/12)\/((-325)\/(-130)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccnnccn. What is prob of sequence nn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -2*b**3\/3 - b. Suppose -21*d = -16*d - 25. Suppose -d*u + 0*u + 5*t - 20 = 0, 5*u + 4*t = 25. Calculate l(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 274.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5576355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -11862.\nAnswer: -5\/11862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 71*y + 3. Let u be b(1). Let q = u + -66. Let t be (-280010)\/(-5) - -4*(-4)\/q. What is t rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/713 and -10\/341.\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 24*m**3 + 23*m**2 - 2439. Let w(q) = -12*q**3 - 8*q**2 + 1219. Let b(c) = -4*n(c) - 9*w(c). Find the first derivative of b(d) wrt d.\nAnswer: 36*d**2 - 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*j**2\/5 - 872*j\/5 + 576\/5 = 0. Calculate j.\nAnswer: 2\/3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1370 (base 8) to base 7.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 256*v - 987. What is z(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - r**3 + 2*r**3 - r**3 + 0*r**3 - r**3 + (-2 - 2*r + 2)*(3*r**2 - 3*r**2 + 4*r**2) - 1 + 1 + r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203835 + 4062054. Let t = v - 3858219.1799971. Let u = -0.18 - t. Round u to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24138 - -47033. What is the remainder when c is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/78 and 79\/68?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = h - 5*q, 2*h - 546*q + 534*q - 170 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3239926, 6479867, 9719808, 12959749, 16199690?\nAnswer: 19439631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13829719.\nAnswer: 179, 77261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 8*y + 11*y - 15)*(17*y**2 - 6*y**2 + 4*y**2).\nAnswer: 30*y**3 - 225*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 5*q = 3*x - 29, -3*q - 24 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005119 rounded to 4 decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q**1)\/q))**(-2\/33)*q*q*q**(-10)\/q*q*q*(q*q**(2\/13))\/q*q assuming q is positive.\nAnswer: q**(-2482\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -1612, -5444, -12912, -25228?\nAnswer: -43604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2.807.\nAnswer: 0.5614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76849629193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 15. Suppose 0 = q*f + f - 12. Solve 0 = z + z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89197, -89189, -89181, -89173, -89165?\n\"Answer: 8*i - 89205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000035536276 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 2, 59616, -6.\nAnswer: -6, -2, -0.4, 2, 59616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -17*g - 594 - 75 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - 1.9. Let g = p - -3. Sort 0.3, -2, g.\nAnswer: -2, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/3 - 40*l**3 - 2387*l**2\/3 - 2676*l - 1920 = 0.\nAnswer: -96, -20, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*j**3 + 12137 - 12137.\nAnswer: -455*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c**(-4\/3)\/c)\/c*c)\/c**(-7\/5))**29 assuming c is positive.\nAnswer: c**(464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85225\/4002412 + -69\/4828. Calculate the common denominator of 59\/22 and z.\nAnswer: 18238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*m**3 + 15 - 34*m - 3*m + 16 to the form b + z*m**2 + l*m**3 + d*m and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -21540502?\nAnswer: -21540454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(42))\/(sqrt(30)\/sqrt(5)*-4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 41. Suppose -5*d - c*r = -2*r - 190, -d = -2*r - 49. Suppose 42*u = d*u + 2739. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5\/2)*48\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.4 - -34. Which is the nearest to -0.24? (a) -4 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - 2*d + 2. Let v(r) = r**3 + 20*r**2 + 21*r + 28. Let y be v(-19). What is the remainder when z(2) is divided by 1 + 14\/y + (-248)\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 1863550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 6*z**2 + 6*z - 5. Is u(4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 19.4 (c) 0.15 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(30\/(-135)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 908310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 351025?\nAnswer: 351031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = -3*w + 1, -2*w = -d - 4. Which is greater: w or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132 and -168.42.\nAnswer: 22231.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.54 - -0.04. Let t = 2.5 + -3. Let s = t + -3.5. What is the second smallest value in -1, s, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/4883, 8, -5?\nAnswer: -2\/4883","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 168*o**2. Let l(i) = 3 - 3 + 49458*i - 49453*i. Calculate l(m(k)).\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9790388us?\nAnswer: 0.0009790388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482*u**4 - 21*u**2 + 1118*u - 1778*u + 22*u**2 wrt u.\nAnswer: -5784*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52017 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -36, -28, -18, -6, 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 916 = 4*x, -3*x + 4*a + 773 = 105. Solve 5*y - 16 = -4*g, -x*y = -226*y + g - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.1. Let p = 3.4 - 0.4. Let r = 1.8 + -1.8. What is the closest to y in r, p, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*u**5 - 2658656*u**4 + 312521204*u**3 - 486276136*u**2 + 201584304*u - 25170912 = 0. Calculate u.\nAnswer: 2\/7, 1, 117, 13446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**5\/60 - s**4\/6 - 4*s**2. Calculate j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-6)\/84)\/(-8 + (-1265)\/(-161))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6 - 3 - 4 - 10*b**2 + b. Suppose 4*g - 2 = 2. Calculate y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 46*g + 9*g.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 14*g - 64. What is o(15)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7805737?\nAnswer: 17, 359, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000862 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33319600 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:55 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*h = -211*h - 168 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-one fifths of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121620 plus -76?\nAnswer: -1121696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 - 94\/(-8). Let j(o) = o + 4. Let a be j(3). Let i = a - -41. What is the highest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-3)))*k*k**(1\/6))\/(k**(2\/5)\/(k\/(k**3*k))) assuming k is positive.\nAnswer: k**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.619 rounded to 1 decimal place?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.0594 and 0.4?\nAnswer: -12.02376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**9\/f)\/(f\/(f**(1\/5)\/f)))\/(f\/f**(-2))**13)**2 assuming f is positive.\nAnswer: f**(-328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208493*f**2 + 0 - 208473*f**2 + 0.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -1.00278 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b - 4*a = 85*b - 16, 2*b - 15 = -3*a for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-139464)\/288)\/149)\/((-3)\/24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3932 - -14.6068. What is the fourth biggest value in -0.5, l, -0.4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 583, -0.04, -1, 134, 1, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 7*k - k + 7*k**2 - 2*k as u + m*k**2 + x*k and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5420 and 9550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w, -3*c + 15 = -2*w. Suppose -i + d = -10, -2*i - c*d + 15 = -2*d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900392947 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/5, -0.3, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1114551 and -0.1.\nAnswer: 111455.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 214*p - 32. What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3) - 14\/(-1). Let l be (-32)\/18 - (-28)\/h. Factor -2\/9*d**2 + l*d**3 + 0*d + 0.\nAnswer: 2*d**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452265215 + -452265200.00000092. Let a = -15 + v. Round a to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {k: 12, g: 5, a: 1}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -108*m**2 + 3 + m - 7 + 2. Let g be q(-1). Let i = 129 + g. Calculate the remainder when 67 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685*l - 2665 = -1726*l for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159005422 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*c = 298, -5 = -5*c - 15. Let d = -34 + s. Suppose 2*v - d = 2*f, 2*f - 24 = -2*v - 2*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -1 + sqrt(1872) + 1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -15*x + 10. Suppose t = x*t + 40. Let w = 12 + t. Solve -l - 2*o = 0, l + w*o - 2 = o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/24 + 35*y**3\/6 - 2043*y**2. Give r(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140965 is divided by 1619?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 349034.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - 2*n)*(3*n**2 - 3*n**2 - n**4) + (25*n**2 - 74*n**4 - 25*n**2)*(0*n - 4*n + 2*n).\nAnswer: 151*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 121127500 to the nearest one million.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. What is the units digit of (-5)\/p - (2 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4570\/43 (c) -0.2 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 + 4 + 305*l - 304*l + 21 to the form o*l + z and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 4704?\nAnswer: 4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (3 - 1 - 4)*(1 - 4 + 1) + 2 + 1 - 2 + 4 + 2 - 3)*(-6*d + 2*d + 2*d)*(-3 - 3 + 4)*(-86*d**2 + 93*d**2 + 303*d**2)*(-5 + 5 + 2).\nAnswer: 14880*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h + 65. Let g be l(-9). Which is smaller: g or 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a - 2. Let p be t(-15). What is the third derivative of 15*x**2 - p - 8*x**6 + 178 wrt x?\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**7)\/n))\/n*n)\/n**(-10))\/(n**(-2\/67)\/(n*n**10)) assuming n is positive.\nAnswer: n**(1007\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1519\nAnswer: -151.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2, -4*f + 31 = -6*o + 3*o. Let m = -35 - o. Let x = 35481 - 35503. Is x greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-18667 + 18667 + 50*p)*(0 - 3 - 1).\nAnswer: 400*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/3 + 112*q**3\/3 - 64*q**2 - 416*q\/3 + 256 = 0. Calculate q.\nAnswer: -8, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(832) + -1)**2)*2*-3 + (2 + 3 + (sqrt(832) - (sqrt(832) - -2*sqrt(832)*6) - sqrt(832)))**2.\nAnswer: -944*sqrt(13) + 135653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 15*n**3 + 4*n**3 + 7*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3*a**4\/4 - a**3 + a**2\/2 + 2*a + 5. Let c(f) = -f**3 - f - 1. Let h(r) = 2*c(r) - y(r). What is the units digit of h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*w**4 - 2*w - 53001*w**3 - 28 + 103 + 53001*w**3 wrt w.\nAnswer: 1212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29.2 and -1628?\nAnswer: -47537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**3 - 76*z**3 + 103*z**3.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = -4*v, -5*s + v + 20 = -5. Suppose -3*c + 455 = -s*d, -c - d + 180 = 3*d. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428 - 1140. Let j(o) = o**3 + 2*o**2 + 1. Let f be j(-2). Find the common denominator of d\/(-16) - f\/(-1) and 71\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 167875728387058?\nAnswer: 167875728387060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.97396l to millilitres.\nAnswer: 24973.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.64 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (6 - (16 + -3 - 8 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-612)*6)\/((-9)\/42*-7)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 9 = -2*c, 4*c + 9 = n. Let m be (n - 5) + 1 + 0. Solve o - m = -5*b + 3*o, -2*b - 2*o = -16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-86)\/(-12)*100\/(-75). Is u bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14076*g*i*o**2 - 5*g*i*o - 9*g*i + 617*g*o - 38*i*o + 361*o**2 wrt o?\nAnswer: -28152*g*i + 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -13097, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/6 - 37*f**3\/3 - 970*f**2\/3 - 10556*f\/3 - 13520 = 0.\nAnswer: -26, -12, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 + 475*u**4 - 965*u**3 + 485*u**2.\nAnswer: 5*u**2*(u - 1)**2*(u + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o + o**3 + 3\/2*o**2 + 2 - 1\/4*o**4. Let p(l) = l**3 - 5*l**2 + 2*l - 6. Let s be p(5). What is z(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 265.793 - 84394.\nAnswer: -84128.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 + 8*f - 5. Let v = 17 - 10. Let g be h(v). Find the second derivative of -3 + 2*m - g*m**5 + 3 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37416.\nAnswer: 2, 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -33*q**5 - 531*q**4\/4 - 3*q**3\/4 + 9*q**2 = 0.\nAnswer: -4, -3\/11, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = z. Suppose -5*t + 36 = 3*c - 2*t, 2*c = 2*t + 8. Suppose -v = -c*v + 3*v. Solve -r + z - 2 = v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2447 + -2449. Let z(g) = 7*g**3 + 6*g**2 - 8*g - 6. Let n(p) = -13*p**3 - 11*p**2 + 15*p + 11. Let m(f) = -6*n(f) - 11*z(f). Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -51. Solve g = -d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - -5)\/(2\/(-53)). Calculate the common denominator of (2\/4)\/((-48)\/r) and 89\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 10*w - 275 + 245 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -19.6781?\nAnswer: 1.180686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d - 2*y, 2*d - 5*y - 16 = -0*d. Is (-3447)\/d*(-7 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4352 + 605?\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*j - 168 = 0. Calculate the highest common factor of j and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -0.0285, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Suppose 0*r + 218 = 3*y - 4*r, -y + 91 = -w*r. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 50 - 18*y**2 - 590\/3*y + 18*y**3 + 8\/3*y**4 = 0.\nAnswer: -5, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 99. Calculate b(-29).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5755933?\nAnswer: 5755933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 1\/8 (c) -4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 3*z + z**2 + 7*z + 7*z - 3. Let a be f(-9). Let h(i) = 3*i**2 - 7*i + 12. Is 39 a factor of h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1087, -2427, -4023, -5875?\nAnswer: -7983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3270 - 3273.853. Let s = -0.147 + d. Which is the nearest to 0.1? (a) s (b) 0.01 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:54 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*n**2*p**2 - h*n**2*p - h*n**2 - 5*h*p**2 + n**2*p + 2*p**2 - 35 wrt p?\nAnswer: -2*h*n**2 - 10*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 410, 417, 442, 497, 594, 745?\n\"Answer: 2*r**3 - 3*r**2 + 2*r + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115383991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20598 at least as big as 20598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7707*f + 20 = -7712*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6762, -27034, -60830, -108150, -168994?\n\"Answer: -6762*x**2 + 14*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-1 - -478)\/(3\/(-3))?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from ooohwwhoowwwooww.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0.213, -5, 0.1.\nAnswer: -5, 0.08, 0.1, 0.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n. Let l be i(8). Let a be (-49772)\/3163*(-30)\/l. Let x = 4\/3163 + a. What is the common denominator of x and 46\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155 - 3*o**2 + 0*o**2 + 5 - 4*o**2 - 85*o + 2*o**2.\nAnswer: -5*(o + 2)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(7\/(-10)*24\/56). Let u be 145\/87 + a\/6. Is -10\/39 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224229 is divided by 62?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 885570549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*j - 62*j - 83888. Does 66 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19606 + 2*c + 19606.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/744 and -41\/15831886.\nAnswer: 189982632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -49, -96, -161, -244, -345?\n\"Answer: -9*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -320015*z - 227753?\nAnswer: -320015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(45).\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 126*s + 50*s + 1820 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 183 = 3*f - 68, 4*f = 3*g - 88. What is the greatest common divisor of 812 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -16 - (-58 + -2 + (45 - 31))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 1. Let k be w(0). Let d = k + 18. Let y = -14 + 70. Calculate the remainder when y is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/29 or 1\/574?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0088876 and -6702?\nAnswer: 6701.9911124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34832 divided by -8708?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11*q = -14*q + 137, 3*m - 3*q = 129. Let v be m\/(-14) - (-7)\/((-98)\/4). What is the nearest to -1 in 5, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.65. Let u = 1507.3 - 1507. Which is the third biggest value? (a) u (b) -2\/17 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(3\/4)))\/t*t*t*t**(1\/7)*t*t)\/(t**(-5\/7)\/t*t\/(t*(t**22*t)\/t)) assuming t is positive.\nAnswer: t**(773\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.198707 days to hours.\nAnswer: 196.768968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 20. Suppose 0 = 2*u - 5 + c. Solve u = -2*b - 4*v - 14, 5*b - v = 4*v + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 54 - (-3 - -26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 97246*h + 7*h**2 - 97246*h + 9*h**2.\nAnswer: -h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140.8 - -141. Let b be -2 + (2 - 8\/(-76)). Let g = 0.4 - 0.6. What is the third biggest value in g, b, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:28 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*l + 35*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 4)*(0 + 2 + 1)*(-2*v - 1 + 1).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*y + 22*y**3 - 19*y**3 - 1274*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (-51 - -65) - -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0. Let o be (-1)\/3 - ((-28)\/12 - -5). What is the nearest to 0.2 in o, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 79950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-4 - -6) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 26 - 262097*j - 7 - 14.\nAnswer: -262097*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -250871300 rounded to the nearest one million?\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let t(h) = -h**3 - 6*h**2 + 10*h + 21. Let b be t(-7). Let u = b + -1. Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(117) - -5*sqrt(117)*-1)\/((sqrt(1296) - -1*sqrt(1296) - sqrt(1296)) + (sqrt(63)\/sqrt(252) - sqrt(9))).\nAnswer: -42*sqrt(13)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*r = 22, -2*s - 3*r = -s - 2. Sort s, -3, 4, 1\/3.\nAnswer: s, -3, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 22 + 2*y - 22 - 6*y**3 as i*y**2 + f + m*y + c*y**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 413 - 116 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1335 = 7*p - 10*p. Let j(r) = -445 + p + 2*r**2. Let x(s) = -s - 1. Let v(a) = 13*a + 2. Let h(q) = -v(q) - 2*x(q). Determine j(h(i)).\nAnswer: 242*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1234070?\nAnswer: -1\/617035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1407 or 1404?\nAnswer: 1407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 plus -20178145?\nAnswer: -20178144.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26897.5 millimeters?\nAnswer: 2689.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 1.6. Let v = -6.49 - -5.690008. Let x = r + v. Round x to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97823608 is divided by 16303933.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300437 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11040 and 38910480.\nAnswer: 77820960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 46 = 4*t. Suppose -2*v + t = 1. Suppose 0 = v*p + 5*s - 12 - 13, 0 = 2*p - 5*s - 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -3*c + 0*c**2 + 0 - 1\/3*c**3. Let r be t(-1). Solve 2*z - r = -12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*m**2*q**2*z + 2*m*q**3 + 4*m*z - 2*q**3*z + q**2 - 195*q*z wrt m?\nAnswer: -94*m*q**2*z + 2*q**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -99, -12, 2\/3, -4, 1\/11 in descending order.\nAnswer: 2\/3, 0.5, 1\/11, -4, -12, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/10 + 65*z**4\/2 + 682*z**3\/3 + 1295*z + 2. Find the second derivative of t(y) wrt y.\nAnswer: -12*y + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280163 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 6\/7, -1\/5, -5 in decreasing order.\nAnswer: 6\/7, 0.1, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -67214 divided by 67214?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a - 17 = 3*d, d - 27 = -5*a. Suppose -d*l - 1742 = -8316. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 69 - 21. What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -541*z + 4. Let s(d) = -1626*d + 11. Give 3*s(o) - 8*x(o).\nAnswer: -550*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-1797.9.\nAnswer: 431.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1035)\/92)\/(3105\/(-1840))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9893728 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*-1)\/(756\/5292*(-7)\/(-2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 2478*p\/17 - 305552\/17.\nAnswer: 2*(p - 113)*(p + 1352)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1543*w**4 - 492*w**3 - 13765995*w**2.\nAnswer: -37032*w - 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - -93. 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 value of (-1 - -7) + 13 + -12 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8)**(-23)\/(i**(-3\/10)*i**23) assuming i is positive.\nAnswer: i**(-2067\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040372252?\nAnswer: 2, 59, 271, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:43 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.48 + -2.458. Which is the third smallest value? (a) -3 (b) -0.5 (c) -4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21674.976635 and -12?\nAnswer: 21662.976635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2\/8 + 387*g + 171465\/2 = 0. Calculate g.\nAnswer: -710, -322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*w - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3821277 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, m: 1, a: 1, t: 2, o: 3}. Give prob of picking 1 i and 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5582868 and 2040?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 15070068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -211021010?\nAnswer: -211021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.031 - -0.031. Sort q, 2\/3, -0.6 in ascending order.\nAnswer: -0.6, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41536 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -225*g + 249. What is o(-1)?\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-6) - (-2)\/6. Let n be (-5 + b)*(-2)\/(-1). What is the second derivative of 2*i**n + 2*i + i**4 - 5*i**4 + i wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 19 + 147*d**2 - 27\/8*d**4 + 2*d + 42*d**3 + 3\/40*d**5. Factor h(b).\nAnswer: 3*(b - 14)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3674*g + 128824. Determine w(-35).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**3 - 70*c**3 + 50*c**3.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 13) to base 12\nAnswer: 38b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + (-4 + 2 - -5). Let s be (2\/8)\/(2\/k). Suppose -s*p + 10 = 0, 2*g - 4*p = -g + 211. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12606.3*-0.24.\nAnswer: -3025.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(54\/264) - 4\/6. Let w be ((-35)\/u)\/5*-18. Solve 9 = -6*i - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18473461 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 11070?\nAnswer: 321030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-584)\/(-12). Suppose -2*o + 4*f = -5*o + 31, -5*o = -4*f - d. What is the highest common divisor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 - 304*f**4 + 6072*f**3 - 11248*f**2 + 5476*f = 0.\nAnswer: 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x**3 + 2*x**2 - 102*x - 200. What is i(-2)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246234299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193571 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2\/3 - 87760*w\/3 + 30029396\/3 = 0.\nAnswer: -22277, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Calculate the greatest common factor of r and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001144 to five dps.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.082 + 0.082. Let b = -4 + 0. What is the nearest to 0 in u, 0.3, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 11 + 0*n**2 + 2*n**2 - 636*n + 620*n + 13 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukyu when four letters picked without replacement from {y: 1, k: 3, u: 2, c: 6, f: 2}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, -30, 0.080459, 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18705 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1803, -0.1, -1\/4, 103?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202123 + -133?\nAnswer: 201330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-15) - (-26)\/5. Suppose 3 = -f*l + 8. What is the units digit of (-13 - -6)*l\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880573 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12570?\nAnswer: 2, 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 - 15. Let p(u) = -2*u**2. Determine v(p(m)).\nAnswer: -20*m**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 4*r + 84, 0 = -68*s + 5*r - 2858 + 2598 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030196 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*g - 442 - 1553 = -3579*g + 332 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*((-12)\/24)\/(9\/234).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/15 - 4*v**4\/3 + 8*v**3 + 131*v**2. Determine s, given that w(s) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-24)*-4*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.05 - -10.05. Which is the second biggest value? (a) v (b) 0.3 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/367 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 410.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13994654 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*(((-1802)\/4187)\/34)\/(1\/1)\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23898706 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.13 + 4. Let o = -0.07 + c. Let t(y) = -2*y**2 + 2*y. Let r be t(2). Sort o, r, 2\/3 in ascending order.\nAnswer: r, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 155*l**3 + 150*l**2 = 0. Calculate l.\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 246.\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 66. Suppose -k + f = w + k, 5*w - 2*k - 162 = 0. Find the common denominator of -37\/5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14799996 = 4*j - z, -5*j - z = 11555632 + 6944372. Round j to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.75 to zero dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -9. Let l = 3 + g. Solve -3*s - p = -5, -s + 4*p + 6 = -l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4822 + 12796. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuwuwuwuuwwwuuwwu. What is prob of sequence wu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 22 + 4*y - 23. Let g be b(-11). Let r(u) = u**2 - 1. Let k(w) = w**2 - 2*w - 4. Suppose 0 = 6*h - 2*h - 12. What is g*k(q) + h*r(q)?\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(3\/4))*l*l\/(l\/l**1))**(-16)*((l*l**(2\/17)*l*l)\/(l**(-4)*l*l))**(-1\/14) assuming l is positive.\nAnswer: l**(-10559\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x + 5. Suppose 0 = -k, -5*r = -k + 6*k - 10. Find the third derivative of 2*q**2 - x*q**r - q**6 + 3*q**6 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 78?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*f = 0, -2*b + 3*f + 25 = 3*b. Suppose -2*i - 9 = -x, i - b = 2*i. Suppose x*u = 364 + 176. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = 0, -6*l + 2*l = -2*i - 288. Find the common denominator of 67\/2 and (-4)\/24 + i\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8935 or -8853?\nAnswer: -8853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 42*u**2 + 28*u - 30. Calculate the least common multiple of k(1) and 696.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2.2+392\nAnswer: 389.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/420 + 8*f**4\/21 - 67*f**3\/14 - 12138*f**2. Find r, given that y(r) = 0.\nAnswer: -67, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11077645 divided by -5.\nAnswer: 2215529","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-6)*20\/50. Let d(o) = -o**3 + 8*o**2 + 9*o + 5. Suppose 2*y + 3*y - 45 = 0. Let h be d(y). What is the nearest to 1 in b, -4\/3, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22310 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + -12)\/(10\/4). Is p at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 631. Let v = n - 274. What is the remainder when 234 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let h = -67 + 73. Put h, l, -2 in ascending order.\nAnswer: -2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose 0 = 2*d + 6, -4*a + 6*d = k*d - 44. Suppose a*b - 7*b = 877. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 4, 4*o + p - 24 = 0. Suppose -o*k + 7*k = 12. Calculate the lowest common multiple of 14 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 40*j**3 + 4*j**2 + 24. Let b(q) = 3*q**3 + q**2 + q + 2. Let u(m) = -12*b(m) + f(m). Suppose u(t) = 0. What is t?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 29*c - 27*c. Calculate the remainder when c is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 23.\nAnswer: 1, 23, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/12 - 3*p**3\/2 - p**2 - 4*p + 26. Let r(c) be the first derivative of i(c). Give r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 40. Suppose 2 - c = -4*n. Let g = 0 + n. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6147921 or -6147955?\nAnswer: -6147955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -q, 7*o + q = 4*o + 8. Suppose -o*a = 4*j - 11432, 3*j - 6*j + 5*a + 8545 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -268648.6 and 0.1.\nAnswer: -268648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -774, -591, -292, 117, 630, 1241?\n\"Answer: -d**3 + 64*d**2 - 2*d - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -658, -771, -884?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2483 + -156458\/63. Find the common denominator of j and 222\/(-46)*(-8)\/(-168).\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 7*f - 7. Let m(g) be the third derivative of -g**5\/10 + g**4\/4 - g**3 + 5*g**2. Calculate -5*m(k) + 4*q(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 1}. Give prob of picking 1 w and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 986 = 4*x + 4*f, 965 = 2*x + 3*f. List the prime factors of x.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*v - 1)*(-v**2 + 4*v**2 - v**2) + 2 + 3 - 6 + 3*v**3 + (-4 - v + 4)*(2*v**2 - 1 + 1).\nAnswer: -5*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18353 is divided by 226?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 7*p**2 - 61*p + 314. Calculate c(6).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*z - 66, -281*d + 282*d - 5*z = -72 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47886.43g to nanograms.\nAnswer: 47886430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46*-273\nAnswer: -12558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/9)*d*(d*d**11*d*d)\/d*((d**14*d)\/d)\/(d*d\/(d*d*d\/(d\/((d\/(d*d*d*d**14*d*d))\/d))*d)) assuming d is positive.\nAnswer: d**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 13*u + 87. Let k be j(12). What is k rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11837525 and -59\/140.\nAnswer: 47350100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5093 + 1698 + 1697 + 1693 + 5*r in the form m + s*r and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 2. Let c be 4\/6*30\/20. Let a(k) = -1. Let z be ((-4)\/(-12))\/((-7)\/(-147)). Suppose -24 = 15*b - z*b. What is b*a(q) + c*m(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 3, 4, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m - 247. Let y be l(-8). Let p = 1019\/8 + y. Which is the closest to -2\/7? (a) p (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 4*q**2 + 0*q**2 as k*q + j + h*q**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27062 and 1624.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14446069 + 1246069 = 4*p. What is p rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 33*f = 2*u + 61, 2*u + 3*f = -0*f - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 8*m - 5*m. Let w = m + -7. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -416*j**2 + 720*j**2 - 313*j**2. Let q(a) = -26*a**2 + 11. What is z(q(b))?\nAnswer: -6084*b**4 + 5148*b**2 - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 + 0)*(2 - 3*b - 2)*(72 - 208 + 3 + 7).\nAnswer: -5292*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 31. Let r be t(5). Suppose -4*w = 23 - 79. Let c = 22 - w. Calculate the greatest common factor of c and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60635900 rounded to the nearest 100000?\nAnswer: -60600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-78) + 4\/26. Suppose -g*c = k - 119, -3*k + 299 + 74 = 2*c. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*o - 1994 = -0*t, t = 3*o + 672. Calculate the remainder when t is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29999*-0.16.\nAnswer: 4799.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26588301.\nAnswer: 3, 1307, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 784 = 2*m, 2*c + 1048 = 6*c + 2*m. What is the lowest common multiple of 5\/10*(-1 + 1) - -4 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*y + 259212 = 336*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165554*j**3 - 294930*j**2 wrt j.\nAnswer: 993324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/(-1260)*(-4)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 2. Let n be h(-3). Let o(g) = g**2 + 2*g + 3. Let x be o(n). Solve -4*c + 4*p = 8, -c - x*c - 11 = -5*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 6607404*l - 3638148968268.\nAnswer: -3*(l + 1101234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = -14. Suppose 110*j - 107*j = w. Let y(i) = i**2 - 6*i + 5. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v + 170 - 170.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -197. What is the second biggest value in 0.3, z, 2\/5, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-165)\/(-10)) + -1)*-15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 3 + 2 - 2. Suppose -4*c + 2*c - 12 = 0. Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(8\/3))**(2\/27))**7 assuming l is positive.\nAnswer: l**(112\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*8*(-6)\/(-24)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 44 - w**3 - 19.\nAnswer: -w**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/10*760\/(-304)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, q: 4, w: 1, f: 5}. What is prob of picking 2 q and 1 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2875 - 106363\/37. Let g = -89871110\/333 + 269883. Let s = p + g. Which is the nearest to 0? (a) -2\/9 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 2?\nAnswer: -135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165018?\nAnswer: 2, 3, 7, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 35*m**5 + 4*m**2 - 313*m. Let d(b) = 36*b**5 - b**3 + 3*b**2 - 313*b. Let g(z) = 4*d(z) - 3*l(z). What is the second derivative of g(q) wrt q?\nAnswer: 780*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202532 is divided by 5621.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 20. Let f be s(-10). Let y = 300 - 297. Solve 0 = y*l - f*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = j, 2*j = -2*p - 111 + 93 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 278 in ascending order.\nAnswer: -5, -2, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 - 52*b**4 - 552*b**3 + 14608*b**2 + 30976*b = 0.\nAnswer: -16, -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 8, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - x - 6. Let r(g) = 3*g**3 - g - 5. Let p(q) = -86*q + 177. Let l be p(2). Calculate l*h(w) - 6*r(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7131.7 - 6649. Let j = -482.7004243 + f. Round j to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20846063 by -175177.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50704 divided by -50704?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from scckssckckkkk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + sqrt(5)*2 - sqrt(5)) + 2)**2.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus -1.449?\nAnswer: 1.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 214*s - 9. Suppose 74*k - 4 = 70*k. What is the units digit of q(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59495579 to the power of 1\/2, to the nearest integer?\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/(-8)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2889258*3\nAnswer: -8667774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 307425 - -0.015\nAnswer: 307425.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 356. Let u = -74 - z. Suppose -w = -2*d - 29, w - 19 = -d + 10. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(-3\/2)\/y)))**(-49)\/(y\/(y\/(((y**4*y)\/y*y)\/y*y)))**(-47))**(-49))**26 assuming y is positive.\nAnswer: y**(-455455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let v(s) = -10*s + 13 + 0 - 2. Calculate 44*j(a) + 4*v(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11372344 and 1344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4269 = d - 4272 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w + 657 - 657 + (2*w - 3 + 3)*(4 - 3 + 0) to d + u*w and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/55 = -7.039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.17 + -8.8. Let d = -1 - -0.93. Let q = a + d. Sort 0.1, q, 1\/3.\nAnswer: 0.1, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -438 - (4\/(-8)*0)\/(-1). Let b = r + 794. Suppose 5*z + c - b = 3*c, 0 = 4*z - 5*c - 295. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3394 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 135\/97154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-174) + 2*(-14)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*f = 30, 2*j - 3 = -2*f + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 8 + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, b: 9}. Give prob of picking 1 b and 1 o.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -19 - (-124 + 137)) + 0 + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1632172 or -6528685\/4?\nAnswer: -6528685\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.53 + 0.03. What is the nearest to -5 in 1\/10, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*d - 879*d - 1715*d = 99084 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (236*x - 1935*x + 454*x - 393*x)*(0 + 0 - 3*x)*(x - x - 2*x - 2*x**2) as b*x**2 + l*x**4 + m + k*x**3 + a*x and give l.\nAnswer: -9828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40340077*d*l**2*s**2 - 44794*l**2*s + l**2 + 35*l*s**2 wrt d?\nAnswer: 40340077*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**23)**33 assuming n is positive.\nAnswer: n**759","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 - 0.8. Let s = -11 - -7. Suppose -3*g + 0 + 3 = 0. Which is the nearest to g? (a) -1 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/155 (b) 0.3 (c) 0.1 (d) 0.4 (e) -4\/9 (f) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 3 = 19. Solve -j*p + 15 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13985, -36770, -68363, -108758, -157949, -215930?\nAnswer: -282695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 857*a**2 + a - 2. Let d be o(1). Suppose 899 = 13*i - d. What is the remainder when i is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27507783 to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 6. Let o be ((-4)\/n)\/((-18)\/27). Solve 8 = 5*m - o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-19))\/o**(-23))\/(o**(1\/14)\/o**(2\/23)) assuming o is positive.\nAnswer: o**(13851\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 192691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 440 = -10*u - 5*b, -2*u - 3*b = -181. Let g = -1077\/13 + u. Let g*v**2 - 18\/13*v + 18\/13*v**4 + 42\/13*v**3 + 4\/13 = 0. Calculate v.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276192 and 2466?\nAnswer: 276192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4)\/((v**(-3)*v)\/v) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 z when four letters picked without replacement from {w: 1, z: 3, l: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30731976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9059 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.17 + -490.17. Which is greater: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = m + 12*a - 10*a, 2*m = -2*a + 710. Let u = m + 354. Suppose 2*w + 2 = 0, 4*v + 3*w - u = 7*w. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 1}. Give prob of picking 1 n and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -2\/7, 0.099, 2100, -1\/5?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 45. Let b = v - -8. Sort 0.1, b, 1 in descending order.\nAnswer: 1, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -8*j - 114 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 3*g**2\/2 + 20*g + 10. Let s be b(-6). Factor -10*u - 3*u**5 + 29*u**s - 9*u**4 + 10*u - 17*u**2.\nAnswer: -3*u**2*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-385))\/((-385)\/440 + (-1842)\/(-2160))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 10*l + 8. Solve -l = -y - 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 530 + 191*p**2 - 174 - 177.\nAnswer: 191*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.658178 centimeters to nanometers.\nAnswer: 46581780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**4 + 73440*m**2 + 6*m - 2597.\nAnswer: 168*m**2 + 146880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - 1) - (3 - (-6 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -25. Let j = -2 + 18. Calculate the smallest common multiple of j and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 2\/13 (b) 296 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 18. Let i(p) = -p**2 - 16*p + 18. Suppose d - 5 = -4*t - t, 0 = 5*t - 20. What is the remainder when i(d) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1656*o + 178854. Calculate s(108).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15237499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m*q**3*v**3 + m*q**3*v + 5*m*q**3 - m*q*v - q**3*v**2 + 2*v**3 wrt v?\nAnswer: -36*m*q**3*v - 2*q**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4869424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192001\/6 + -383999\/12. Let o be (4\/(-10))\/((-2)\/10). Factor -b*h**o + 3\/4*h - 1\/2.\nAnswer: -(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 + 6*u - 93 + 0*u)*(-1743*u - 59*u**2 + 1743*u) to i*u**3 + x*u + h + s*u**2 and give s.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57999 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -55, -45, -35, -25, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -20. Let d be 9\/(6\/16*2). Let y = v + d. Solve 5*u + 1 = y*j + 2, j + 19 = -5*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81762 = 9*t - 4*d + 81774, 3*t - 4*d + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/8)*x)\/(x\/x**(-2\/5)) assuming x is positive.\nAnswer: x**(-41\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 35 = -4*j. What are the prime factors of 252\/(6 - j) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 4. Let o = -46 - -74. Let r(c) = -26*c + 52*c - o*c. What is r(b(q))?\nAnswer: 2*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1112995, 1113334, 1114259, 1116064, 1119043, 1123490, 1129699?\n\"Answer: 49*s**3 - s**2 - s + 1112948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5179 divided by -25\nAnswer: 5179\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 419020409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - t + 40 = 0. Suppose -3*f - 10 = -t*f. Suppose 0 = f*a - 41 + 6. Solve 4*m - c = 4*c - a, 2*m = -5*c - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14\/9, -9\/418433 in ascending order.\nAnswer: -9\/418433, 1, 14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from qquqqqqqqiuvyqyitqty?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 201. Does 11 divide (-990)\/z*(-1 - 107)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13361209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 - 258*p**4\/7 + 8934*p**3\/7 - 39166*p**2\/7 + 2976*p + 69192\/7 = 0. What is p?\nAnswer: -1, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -9346?\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/33 and 55\/288?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496857 and 51852.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 + 41*l**4*x + 2*l*x - 24*l wrt l.\nAnswer: 20*l**3 + 492*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*11\/1430*50\/3.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 423\nAnswer: -8883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 2*c + 8. Let a(r) be the second derivative of -r**4\/2 - r**3\/3 + 9*r**2\/2 - 113*r. Determine -6*a(f) + 7*q(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybaa when four letters picked without replacement from bbabyayb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.5015348 rounded to zero decimal places?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*n + 26 = -j, 4*n = -2*j. Suppose o = -j*o + 20. Suppose 5*h = 3*m - 23, 4*m - 5*m = -3*h - 9. Calculate the remainder when m is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 1996 + 2122 = -72*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11063*q = -5381*q - 5490*q - 6336 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c**2 - 1047*c**4 - 4 - c**2 - 8*c**3 + 1050*c**4 to the form j*c**4 + x + b*c**2 + u*c**3 + w*c and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49598699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.80789 litres in millilitres?\nAnswer: 92807.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77254.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.33 * -1.4\nAnswer: -3.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 10) in base 9?\nAnswer: -2733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.708039606 + -0.291959964. Let g = 76 - 15. Let b = g + h. What is b rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5630651 centuries to years.\nAnswer: 56.30651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 423641 (base 7) to base 6\nAnswer: 1323422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14112 (base 7) in base 8?\nAnswer: -7367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14145 and 476625?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 2*j)*(-1 + 1 - 2)*(2*j + 0 + 0 - 3*j + j + 3*j + j + 0*j - 2*j + (3 - 2 + 0)*(-j - 5*j + 5*j) - 1 - 2*j + 1).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 36*v**3 - 129*v**2 + 189*v - 859. Determine x(4).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 0*m**2 - 6*m**2)*(29*m + 14*m - 8*m) to the form c*m**3 + h*m + n + t*m**2 and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 630, 1385, 2436, 3783?\nAnswer: 5426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (0 + (sqrt(51) + (3*sqrt(153) + sqrt(153) + sqrt(153))\/sqrt(3))\/((sqrt(6) - sqrt(6)*4)\/sqrt(2)))*-5).\nAnswer: 20 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750\/240*(-2)\/(-5).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -23. What are the prime factors of -4 + (21 - 2)*j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-49) - 9\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07073 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**2 + 51 + 62 - 114 + 3*a**2.\nAnswer: 34*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/23064 and -65\/14983912.\nAnswer: 44951736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:17 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6336861ml in litres?\nAnswer: 0.0006336861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 8*c**4 + 4*c**3.\nAnswer: c**3*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283 + -281. What is the third derivative of 43*u**r + 107*u**6 + 209*u**3 - 209*u**3 wrt u?\nAnswer: 12840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10173459.\nAnswer: 3, 227, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2)\/(-147)*-6 + 789\/27 + -29.\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -114601\nAnswer: 420\/114601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/((-8)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13*37 + 5*6\/30. Suppose -3*y - 68 = -p. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**3 + 6*f**2 + 47*f + 220. Calculate k(-4).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10853*i + 10828*i - 300 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 31. Which is the fourth biggest value? (a) 0.5 (b) f (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3173 + 3132 - 5*r**4 - 6*r**4)*(0 + 0 + 2).\nAnswer: -22*r**4 - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29 + -28 - (-1 - -4). Let z be 3\/(-3) + y + 7. Solve z*r + 7 = -l - 1, 0 = 5*r + 4*l + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6976.8003 to the nearest ten.\nAnswer: -6980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25451\/(-10230) - 138\/11385?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k + 27\/10*k**6 + 0*k**2 - 6 - 207\/25*k**5 - 26\/5*k**4 - 4\/5*k**3. Let q(z) = 0. Calculate z.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80881 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 655. Let r = j + -395. Suppose -4*o = -r - 48. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/12)\/((-602)\/(-1032))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 39 + 3 = 0. What is the least common multiple of 40\/14*(-1 + 27\/6) and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395.6 - -394.9. Let o be (-4)\/(-6)*(-6)\/(-10). Is o less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 23, 3 in descending order.\nAnswer: 23, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173804072?\nAnswer: 2, 13, 127, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 24 + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006607 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 29 + 1 = 0. Suppose -2*d + v*n = -895, 0*n - 1803 = -4*d - 3*n. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 878\/3, 4, 0, -1\/7, -0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9161*m**4 + 24425 wrt m?\nAnswer: -36644*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380583.\nAnswer: 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 9*a - 5. Let x be t(-8). Let h be 69\/x - (-6)\/(-39). Are h and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*m + 233*m = 20631549 + 638030. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -3 - (5 - 9). Solve x = -u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*p = -3*p + 9, -3*l = -4*p - 1. Sort 5, 0, l.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/80)\/((-6)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 4. Suppose 0 = -u + 2*u - m. Suppose -4*z - 36 = -u*k, -3*z + z = 3*k - 7. Solve -10 = 2*p - 4*f, 0*p - k*f + 13 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h**2 + 3*h + 2. Let x be t(-1). What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 2*i**2 - 7*i**2 + 4*i**2 + 2*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 39624*j**4 - 392475718*j**3 - 785070312*j**2 - 392554969*j.\nAnswer: -j*(j - 19813)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3576004 is divided by 715197.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -837373 * 10\nAnswer: -8373730","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -9265, -1, 6, 317 in decreasing order.\nAnswer: 317, 6, 3, -1, -3, -9265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(24\/18). What is the third smallest value in 1\/8, -3\/7, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1753, -3493, -5233, -6973?\n\"Answer: -1740*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000184516 to 6 dps.\nAnswer: -0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4 + 6.4. Let s = -1.512 + 1.412. Let r = -0.3 - -0.8. What is the closest to 0.7 in r, u, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -33, -35?\n\"Answer: -2*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**5*u)\/u*u)\/u*u)\/u)\/u*u**2*((u*u**1*u*u*u)\/u)**(44\/3))\/((u*u*(u*u*u**(-1)*u)\/u)**(-8)*u**(1\/3)*u**0) assuming u is positive.\nAnswer: u**(265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r - 2. Let p be l(-2). Suppose 3*b + 4 = 4*m - 6, 4*b + 3*m - p = 0. Calculate the highest common factor of b and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - -1044420133?\nAnswer: 1044420312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/70)\/((-742)\/(-147) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 42*d + 6. Determine l(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1260 - -1269. Calculate the remainder when 30 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 7*m + 3. Solve 0 = m*l - 0*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + 4.11. Put -0.4, 10, i in descending order.\nAnswer: 10, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 3 + 11 + -15. Solve -2*t - 15 = p*q, q + q + t = -7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67263080?\nAnswer: 2, 5, 311, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/10 + t**5\/30 + 8*t**2. Find the third derivative of c(j) wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 + (2 - 1)) - (124 - (134 + -69)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-7 + 4 - -4)*(-7)\/(7\/(-9)) and 17615.\nAnswer: 158535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vugu when four letters picked without replacement from {g: 2, v: 5, u: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**4)*y**(-6)\/y*((y\/y**(1\/6))\/y)\/y**0 assuming y is positive.\nAnswer: y**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244872 is divided by 305?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53061?\nAnswer: 3, 23, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/4 - 2153*d**3\/3 - 1728*d**2 + d + 7241. Find the second derivative of h(m) wrt m.\nAnswer: 6*m - 4306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 119532189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11. Let d be (-12)\/(-20) + 142\/(-195). Let f = d + -43\/273. Is u equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 22*h + 19 = -23*h, 0 = -13*w - h - 63 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4136459?\nAnswer: 4136459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 241311 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5 - 9 - r + r + 3*r. Let w be j(-5). Which is greater: -21\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5623?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 1 - 1. Let n(m) be the first derivative of -3 + 0*m**3 + 3*m**3 - 3. Determine n(o(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*q**3 - 297*q**3 + 62*q**3.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.6 + 3.6. Let d = p + 23. What is the fourth biggest value in -1, d, -0.4, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1300) + 2))**2.\nAnswer: 1440*sqrt(13) + 46944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 192 + -183b?\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1296\/899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -4 + ((sqrt(84) + sqrt(84)*1)*-4 + (sqrt(84) - 5*sqrt(84)*-1))\/(sqrt(60)\/(sqrt(20)\/sqrt(100))))**2.\nAnswer: 28*sqrt(7)\/5 + 1153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 1, l: 4, q: 2, t: 1, p: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 15. Suppose 4*a = 5*z + 12 + 27, -5*a + 65 = -l*z. Solve -a = 3*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 5*v**4\/12 - 5*v**3\/3 - 3*v**2 - 190*v. Let t(q) = -5*q + 3*q - 1 + 0*q + q**2. Determine 2*h(w) - 11*t(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76803 is divided by 300.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/32)\/g*g)\/(g**(-33)*g) assuming g is positive.\nAnswer: g**(1085\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88) - 2*sqrt(88)) + sqrt(88) + sqrt(88) + sqrt(88))*-1 + sqrt(88))*-3)\/(((sqrt(968)*-1 - sqrt(968)) + sqrt(968))*5).\nAnswer: -3*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43388?\nAnswer: 2, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - -5) + (-4 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -62. Let j(b) be the third derivative of b**5\/30 + b**4\/12 - 2*b**3\/3 - b**2. Let m be j(-4). What is the highest common factor of t and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1214.1 - 1307. Let v = d + 93. Which is the closest to v? (a) -2\/7 (b) 0.2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*o - o - 2 = 0, -5*c + 4*o + 8 = 0. Let u be ((-16)\/12)\/(6\/9). Sort -4, c, u.\nAnswer: -4, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:50 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 41*z - 12 = 0. Solve 2*h**4 + 11*h**4 - 10*h + 15*h**z - 7*h**4 - h**4 - 35*h + 25*h**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(-24\/11)*s\/(s*s*(s\/(s*s**(-5)\/s*s))\/s*s*s)*(s\/(s*s**(-5)*s))\/s assuming s is positive.\nAnswer: s**(-172\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = 2*r. Let c(z) = 386*z**2 + 4*z - 9. Is c(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 + 6 = 0. Let h be (3\/90)\/((-1)\/(-4)). Which is the nearest to 1\/3? (a) 4 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 16*a = -93684. What are the prime factors of a?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13860 and 6405300?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 + 11*b**2 - 3*b + 3 wrt b.\nAnswer: 72*b**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 943577 (base 10) in base 16?\nAnswer: e65d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 5\/4, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6 = -3*n. Suppose -z - 48 = n*s - 4*z, 0 = 5*s - 3*z + 72. Let t = -6 - s. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r + r)*(3*r + 0*r - 4*r) - 9*r**2 - 4*r**4 + 9*r**2 + (2*r**3 - r + r)*(38*r - 10*r + 40*r).\nAnswer: 131*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -1 - (-6 - (-18 + 13 - -5))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:22 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17524859.\nAnswer: 11, 19, 71, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b - 1188. Let n = 1010 - b. Suppose -5*c = -5*t - 0*c + 760, 0 = 4*t - c - n. List the prime factors of t.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*c**2 + 39*c**2 - 2*c - 11 - 165 + 4*c wrt c.\nAnswer: 148*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*b + 18, 3*b + 53 = -4*h + 80 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -93 - (0 - (7 + 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -333.4\nAnswer: -338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccucccu. What is prob of sequence cuuc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4495 + -22477\/5. Sort 1, 35, 0.8, n in descending order.\nAnswer: 35, 1, 0.8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14452*d = -14992*d + 19440 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 259*u - 260*u = -22, u - 17 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 4*c - 3. What is a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {k: 8, t: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3388 and 1222?\nAnswer: 2070068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:02 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u*u)**(1\/14))**(2\/31)*(u**(-2)\/(u\/((u**(-10)*u)\/u)))**(-17\/6) assuming u is positive.\nAnswer: u**(47951\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/111, -5 in increasing order.\nAnswer: -5, -0.2, -2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1209117 divided by -103.\nAnswer: -11739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 231*l**2 + 348*l - 61. What is the thousands digit of a(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -84. Let x(v) = -3*v**3 + 4*v - 2*v**2 + 1 + v**2 + 4*v**3 - 3*v. Let w(h) = 3*h**3 - 4*h**2 + 5*h + 5. What is k*w(y) + 5*x(y)?\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -300 and 2.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26333 divided by 1549?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(4 + -3 + -1 + 1). Let b = 45 - a. Calculate the remainder when b is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15488 by -352.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3021*g = 3061*g + 160 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(2 + (sqrt(242)*1 + sqrt(242) + sqrt(242))*6 + 3*(sqrt(242) + 0 + sqrt(242))))**2.\nAnswer: 38016*sqrt(2) + 5018256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Let d = -0.6 - -0.1. Let s = 4 + -4. Sort s, x, d.\nAnswer: x, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22 and 85\/38326.\nAnswer: 421586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p**3 + 25*p**2 - 54*p**3 - 25*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(2 + (-390)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11436 + -7645. List the prime factors of k.\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115470217?\nAnswer: 181, 607, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/21 - 3899688*y + 39919862055528.\nAnswer: 2*(y - 20473362)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.87 + -0.13. Let p = 9.8 + o. Let k = p - -0.52. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 3 + 3)*(-2*w**4 - w**4 - w**4 + (-3 + 3 + 2*w**2)*(-w**2 - 4 + 4) + (5*w**3 - 4*w**3 - 2*w**3)*(-2*w + 4*w + 0*w) - 2*w**4 - 2*w**2 + 2*w**2).\nAnswer: 80*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83468 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - l + 1. Let p(t) = 1524*t**3 + 1397*t**2 - 1397*t + 1397. Determine -4*p(i) + 5588*r(i).\nAnswer: -508*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 67. Let z = j - -499\/6. Suppose 1\/3*d**3 - z - 1\/3*d + 1\/6*d**2 = 0. What is d?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 79\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -50, 0.3, -5 in descending order.\nAnswer: 0.3, -2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72466 is divided by 480.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + g - 4 + 3, 0 = -z - 36*g + 23*g + 17*g - 42 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654 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: What is the third smallest value in 0, -1, -655, -125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 29*w + 171. Let q(s) = -3*s + 1. Determine q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 11. Let v be d(16). Find the second derivative of -y**5 + 10*y**v - 5*y**5 - 13*y + 7*y**5 wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let k be 3\/1 - (-12)\/(-4). Let g(m) = 0*m + k*m - m. Calculate g(x(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 3*q + 0*q + (-4 + 4 + 1)*(-4*q + 4*q - 3*q) in the form w*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65184 is divided by 785?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 140, 204, 264?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11361.2, 0.42, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*v)*(-v + 2*v + v) + 18*v**2 - 15*v**2 + 29*v**2 + (v + 2 - 2)*(-2*v + 0*v + 4*v) - v**2 + 1 - 1.\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1936.991344 - -1937. What is o rounded to 4 dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g = -5*u + 181, -5*g = 2*u - 69. Let z = u - 9. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*i**3*r**3 + 30*f**2*i**3*r**2 + 5*f**2*i*r + 983*i**3*r**3 - 2*i**3*r**2 wrt r.\nAnswer: 18*f**2*i**3 + 5898*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -505 - -852. Calculate the remainder when k is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-40)*-6*(-2)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 4*v**2 + v + 4. Let h be z(-4). Sort 0.5, 2\/3, h in descending order.\nAnswer: 2\/3, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((6*sqrt(78)*2 - sqrt(78) - sqrt(78))\/((sqrt(6) - sqrt(66)\/sqrt(11))*2 + sqrt(6)) + -5)**2)*3.\nAnswer: -15924 + 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3180.4*0.364.\nAnswer: 1157.6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x + 1. Let f(b) be the third derivative of b**4\/24 - b**3\/6 + 2*b**2. Let y be -19*(-1 - 34\/(-38)). Calculate y*d(u) - f(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46965?\nAnswer: 3, 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1200 and 63\/344.\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 46670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/65)\/((-8)\/240).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02785 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 22*a**2\/3 - 24*a + 24.\nAnswer: -2*(a - 6)*(a - 3)*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 41187710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, e: 3}. Give prob of sequence eee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -3*l. Let b be ((l - -2) + 0)*-5. What is the third derivative of -177*o + b*o**2 + 177*o - 3*o**4 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -12, -2 in descending order.\nAnswer: 5, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 534*m - 5501. Give g(12).\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - w + 30 = 0. Let n be (1 + 4 + (3 - 6))*w. Calculate the highest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 2\/79, 3\/7, -0.3, -11\/8?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 4*m + 1. Let t(l) = -l**3 - 8*l**2 + 9*l - 4. Let o be t(-9). What is the units digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 123? (a) 0.1 (b) -1 (c) -5\/8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/3? (a) -2\/25 (b) -3\/2 (c) 0.4 (d) -1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q - 1578. Give m(-56).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -21 + (-15 - 25 - -29) - 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6) + 1)*0. Suppose -n + 2*n + 7 = x. Suppose 2*h = 6*h - f + 24, 4*f = h - 9. Are n and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w - 11756 - 14171 = 311*w + 281 for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 + 621\/(-18). Let n be 8\/(-36) + (-224)\/t. Suppose n*j = 7*j - 5. Solve 3*q = 5*r + 40, q + r - j = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 8679a05?\nAnswer: 8679a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/(o\/(o**(2\/25)*o))))*o)\/o)**(-39)\/(o**(-4)\/o**(-22)) assuming o is positive.\nAnswer: o**(-2478\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -4*p + 28, -f - 185 + 177 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 517 and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/3 - 4 - -1 - 2. Let d(l) = 492*l + 13. Let p be d(m). What is the units digit of ((-8)\/28 + p\/7)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = a, -5*l + 5*a + 25 = 0. Suppose 7*m = -l*f + 4*m + 95, 87 = 3*f - 3*m. What is the remainder when 75 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4 - 4)*(-3 + 3 + 3*o)*(3 + 0 - 1)*(476*o - 388*o + 732*o).\nAnswer: 14760*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23384 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -326, -750, -1354, -2144, -3126?\n\"Answer: -x**3 - 81*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhhhjhjhkjjkjjjjjjj. What is prob of sequence jhkj?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 = -d + 5, 4*n - 22 = -3*d. Let t be 20\/16*4 - (-6 + 7 - 1). Solve -4*m - t - n = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 - 16*t**2 + 8*t**2 + 2*t**2. Let k(x) = -35*x**2 - 25*x. Let v(u) = 3*u**2 + 2*u. Let a(i) = -2*k(i) - 25*v(i). Give a(p(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427.4 + -427.3984269. Round q to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434*s**3 + 277*s**3 - 6 - 42*s**2 - 367*s**3 - 4 - 205*s**3 wrt s.\nAnswer: -4374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -147*g**3 + 6*g**2 - 5*g - 5. Let i(j) = -73*j**3 + 3*j**2 - 3*j - 3. Let x(b) = -5*i(b) + 3*u(b). Find the third derivative of x(h) wrt h.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885599 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (153\/476 + 3\/7)*104. Let d = 4219 + -4193. What is the greatest common factor of d and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = 5*o + 2, 4*o = -h + 4. Let d = -15 + 30. Does 10 divide h*d\/(-3)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658.27 tonnes in micrograms?\nAnswer: 4658270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 19*j**2 - 9*j - 1. What is o(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -38*n - 2219. Let r be t(-61). Solve 100*w + 3 = r*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7627252 - 1?\nAnswer: 7627251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -37894360 to the nearest 10000.\nAnswer: -37890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y**2 - 81*y + 15. Give m(-6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjfsjf. What is prob of picking 1 s and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-30) - (-1 - -2)*-5. Let k be 156\/10 - (w + (-85)\/25). Solve 4*i + 7 = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 55*b - 1578. Determine p(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10179484?\nAnswer: 2, 7, 211, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 15*u - 14. Let l be q(12). Let y = -17 + l. Let g(o) = 18*o + y + 0 - 4 - 2. What is g(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -7*r**3\/3 - r**2 - 56*r - 138. What is the first derivative of g(w) wrt w?\nAnswer: -14*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 0. Let s(c) = 7 + w*c - 1 + c. Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -953130 - 5\nAnswer: -953135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 + 0.154. Let q = -33.043 - -33. Let d = o + q. Round d to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161076 divided by 80538.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -5*m - 4*g + 114, 5*m = -2*g + 2. Solve -m*i - 2 = 2*l, 2*i - 10 = 3*l - 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 + 13 = -v, m - 5*v = 11. What is the remainder when 62 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52668397 is divided by 98815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0423 minus 0.4?\nAnswer: -0.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q + 12*q - q - q + q + q - 5*q + 6*q + q + (4 - 3 + 0)*(0*q + 3*q - 4*q) + q + 0*q + 6*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4 + 83*w - 4 - 44*w - 48*w. Let y(b) = -12*b + 4. Give y(r(s)).\nAnswer: 108*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 40. Let n be r\/(-3 - (-10)\/5). Suppose n = g + g. Solve 3*f + g - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4 + 2\/5*t**5 + 0*t**2 + 9 + 0*t**3 + 0*t. Factor u(o).\nAnswer: 2*o**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-202)\/(-240) + (96\/20)\/(-6). Let o(z) be the third derivative of 0 + y*z**4 - 1\/60*z**5 + 1\/2*z**3 + 0*z - 5*z**2. Calculate o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.197 - -0.207. Sort n, 0, -2 in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -824 + 1763. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 5*l, 4*l - 3 = y. Suppose 2 = c - y, 5*a = c - 58. Let f = a - -36. Solve 0 = 5*s + f, -2*v - 4*s = -5*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3497 * 1\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -9951763?\nAnswer: -49758815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (109 - (84 - -85))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}