diff --git "a/data/dm_maths/full_data_1/11238_11255.jsonl" "b/data/dm_maths/full_data_1/11238_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11238_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert -1b (base 15) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1900))*4 + sqrt(1900) + sqrt(1900) + 0 + sqrt(1900) + 2 + (-6*(sqrt(1900) + sqrt(1900)*1) - (3 + sqrt(1900) + 1)) + 0)**2.\nAnswer: 720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -8 + (3 - (7 - 9)) + -11 + 18.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*o - 97*o - 31*o**2 - 6*o**2 + o**2 - 1 + 1 + 3*o**2 - 5*o**2 + o**2 + (2*o + 0*o - 3*o)*(2*o + 5*o - 6*o) to y*o**2 + l + s*o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48994209 and 66810285?\nAnswer: 734913135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*n + 2*c - 70, -4*n = 3*c - 175. Calculate the remainder when n is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211860019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(32\/(-64)). Solve -l + n - 7 = -m, -5*l - 5*m = 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 209. Suppose g*t - 17*t = -1179. What are the prime factors of t?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3 + 8. Suppose -v - 3 = d*l - 20, 3*v = -l + 9. Find the third derivative of 10 + 5*m**2 - l*m**3 - 10 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {r: 2, c: 5, n: 1, o: 5, w: 6}.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 225 = 6*h. Let u = 25 + h. Suppose 0 = -4*a - u*a + 72. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + r**3 + 5*r**3)*(-r - r + r) + 138*r**3 - 2*r**4 + 10*r**3 + r**4.\nAnswer: -3*r**4 + 148*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 220302?\nAnswer: -220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 4. Suppose 0 = -m + 4*m - 3. Let h be 4\/(-2)*(0 - m). Let f be (-8 - -3) + h\/2. Calculate a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 96, 85, 70, 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681 + 685. Solve 4*i - u - 4 = 0, 0 = -2*i - 2*i - x*u + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00836 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/17 + 402*g**3\/17 - 1200*g**2 + 20000*g\/17.\nAnswer: -2*g*(g - 100)**2*(g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -8.8?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/2 + 3*b**2\/2 + b. Suppose 92*w - 100*w + 32 = 0. List the prime factors of t(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 283344.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -456 (b) -1\/7 (c) -1 (d) 2 (e) 1781 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2*x**3 + 2*m**2*x**2 - 462*m**2 + 2716*x**3 wrt m?\nAnswer: 2*m*x**3 + 4*m*x**2 - 924*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3080, 6158, 9238, 12320, 15404, 18490, 21578?\n\"Answer: b**2 + 3075*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3\/3 + 25*g**2\/2 + 16*g + 53. Let a(k) = -5*k - 3. Give -11*a(i) - 2*b(i).\nAnswer: -2*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 5 - 7. Let m be 1\/(2*v\/376). What are the prime factors of ((-4)\/(-4))\/2*m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12891 - 7034. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 13. Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z + 16, -3*z = -4*y + 48. Let q(j) = 2*j**2 - 15*j + 17. Let b be q(y). What is the greatest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2299440175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13559 = 4*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -12*o**4 + 508*o**3 + 624648*o**2 - 13230592*o - 13854720 = 0.\nAnswer: -656\/3, -1, 22, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791528362 + 22.74.\nAnswer: -791528339.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:10 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -389, -5, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392637 = -36*k + 391629 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 53*w**7\/70 + w**4\/4 + 7*w**3\/6 - w**2 + 39*w. What is the second derivative of b(j) wrt j?\nAnswer: 1908*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-117)\/(-7761)*(-3)\/9?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 25 = 2*t, 2*t = -3*t - b + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1047\/2*h - 15\/2*h**2 + 105.\nAnswer: -3*(h + 70)*(5*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*f + 12 = 0, f = -0*x + 3*x - 8. Solve -3*c + 4 = 4*a - 12, -4*a - 12 = -x*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-2)\/(-3))*(-8)\/6. Let t(v) = v**2 + 6*v - 3. Let g be t(-7). Sort g, 2, q in descending order.\nAnswer: g, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 + 54. Let o = q + 576\/7. Solve 0*n**2 - o*n**3 + 2\/7*n + 1\/7*n**4 - 1\/7 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7\/(-5))\/((-6)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -69. Suppose 31 = 3*p - 5*h, -z*p + 0*h = -h - 15. Solve 3*l - p*a = 1, -2*l + 2*a = -3 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352596?\nAnswer: 2, 3, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*p - 109. Suppose 916 + 2738 = p*b. Is b a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 427\/(-2) + 2)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92530586 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 4*o)*(0 + 1 - 6)*(-3*o**4 + 4*o**4 - 2*o - o).\nAnswer: 5*o**5 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 16*s**2 + 2*s + 52. Let y be m(-12). Let j = 551 + y. Solve -j*p + 10 = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, -60 in increasing order.\nAnswer: -60, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2797 - 1004 = -65*b - 2172 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 42 = -43*j. Solve 4*v = -5 - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 times 0.02\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41763 is divided by 41753.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2271148815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.37 - 22. Let s = r + -4.37. Sort s, -0.02, -0.2 in increasing order.\nAnswer: s, -0.2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201)\/(-39) - 4\/26 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 > -355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 736 - 813?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417 (base 9) to base 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the tens digit of 2093662503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2627\/22 + -1308\/11. Which is the smallest value? (a) 4 (b) q (c) 10.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-5325)\/50)\/(-71))*(12\/1)\/(-1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*a + 15. Let c = a + -44. Find u, given that 2*u**3 + c - u**2 + u**4 - 1\/2*u - 3\/2*u**5 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoiigigiioio. Give prob of picking 2 g and 2 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4692 and -137\/6.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from 1438827.\nAnswer: 1438828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1554.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2. Suppose -7*j - 2*q - 10 = -3*j, 3*j - 4*q = -24. Let c(n) = -n - 1. Let f be c(j). Let i(z) = f*z + 0*z - 3*z - 2*z. Determine i(d(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - y**3 + 3*y**3 - y**3 - y**3 - 29*y**2 + 2*y**3 to f + c*y**3 + p*y + a*y**2 and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -21774, 1 in decreasing order.\nAnswer: 77, 1, -21774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-90))\/((-7)\/(-14))*236\/6*-5?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from rmfcrfcfccsj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152053278 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:06 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0. Let c = -4 - -3.74. Let v = c + 1.26. What is the smallest value in p, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*a = -1020 + 316 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -84. Sort z, 6, 5 in descending order.\nAnswer: 6, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -7*d**4\/4 + d**3\/6 + 10*d**2 - 2*d - 50. What is the first derivative of y(h) wrt h?\nAnswer: -42*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(832))*1.\nAnswer: -5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274 - -3?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*h - 361*h + 228 = 353*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 2. Let d(o) = -14*o + 10*o + 4*o + o**2. Give x(d(a)).\nAnswer: 9*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 9) + 3 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 9. Let w be i(6). Suppose -4 + 3 = -3*k + j, 4*k - j - w = 0. Solve c = k*c + 5*h - 10, 3*c - 5*h + 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101132022222122 - 2?\nAnswer: 101132022222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/9 (b) -16 (c) -3\/10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567849 is divided by 1868?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2174 and -7914?\nAnswer: 17205036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1262 - 12301004?\nAnswer: -12266412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/7 (b) 2\/203 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -23. Suppose 3*w + 9 = 30. Calculate the least common multiple of w and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 35. Let h(b) = -1. Calculate 6*h(x) + k(x).\nAnswer: -3*x - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - (-12 - ((27 - 62) + 31))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2555284, -5110576, -7665886, -10221220, -12776584, -15331984, -17887426?\nAnswer: -20442916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 39 - 33, 3*p - 2 = -4*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 362 and 1098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -657.2 - -657. What is the closest to d in 1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -91, -4, -13 in decreasing order.\nAnswer: 1, 0, -4, -13, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2. Let u(j) be the second derivative of -4*j**3\/3 - 127*j. What is u(p(t))?\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 + -2) + 1. Let f be (((-270)\/3)\/5)\/2. Let z be 4 + f + 1 + 3. Put 7, z, w in increasing order.\nAnswer: w, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/22855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/4 - 7*b + 23\/4.\nAnswer: (b - 1)*(5*b - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.4 (b) 1 (c) -3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 21*m = 52. Solve -m*l - 3 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460831, -460830, -460829, -460828, -460827, -460826?\nAnswer: -460825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47223*o**2*t + 6*o**2 + 860*o*t - o + 20 wrt o?\nAnswer: 94446*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817575.6nm to meters.\nAnswer: 0.0008175756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/11)\/z)\/z*z**(-5\/6))\/((z*z**(-2\/3))\/z)**31)**(-12) assuming z is positive.\nAnswer: z**(-2378\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 121.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i - 7. What is y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 15*k + 13. Let c(v) = 2*v**2 - 15*v + 9. What is -7*c(t) + 6*h(t)?\nAnswer: -2*t**2 + 15*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*r**5 + 5*r + 11*r + 4*r**2 - 4*r**2 wrt r.\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 10482 + 17*m**4 + 2*m**2 - 10482 to d*m**4 + g*m**2 + b*m + h + v*m**3 and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/77*11*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-615)\/533*(-28)\/1848*-22?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17407 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-9 - 4 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2 - 9*y + 5. Let q(m) = 5*m**2 - 5*m + 3. Let k(p) = 4*b(p) - 7*q(p). Suppose -3*l - l = 0. Suppose 0*f + 2*f + 4 = l. What is k(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2572*d + 10267. Determine i(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1abc3 (base 13) to base 15.\nAnswer: 10884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 8. Let z = 128 + -69. Let f = 51 - z. Let p(q) = 26 + 4*q - 41 + 20 + 0*q. Calculate f*p(u) + 5*n(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 42, 84, 124, 150, 150?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000011 - -100011100010010000?\nAnswer: 100011010101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-192)\/(-126))*(-9)\/(-63).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + -17. Let l = r - -49. Suppose i = -0*i + l. Calculate the lowest common multiple of 33 and i.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 10 + 5*l + 10. Determine i(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 + (9 - 22) + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**2 + 5*g - 8*g**2 - 6*g**2 + 2 - 3. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgpvvvpjgjjvjjj. Give prob of picking 2 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 15.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 12*z**2 - 13*z - 12. What is m(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/59136*-32)\/(3\/21).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/161)\/((-50)\/350)*1.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4044815 not equal to -4044815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246490 or 246491?\nAnswer: 246490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4\/9)\/((g\/(g**(-15)*g))\/g))**(-41))**(-1\/8))**(-10) assuming g is positive.\nAnswer: g**(13325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 7. Suppose -15 = -3*l - 0*l. Let a(s) = -s + 0 - 22 + 3*s + 4*s. Give l*a(q) + 16*w(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h**3\/3 + 65*h**2\/2 + 2804*h. Calculate r(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469529399 rounded to the nearest 100000?\nAnswer: 469500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/3870 and -49\/820.\nAnswer: 317340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:28 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 110*i - 53*i - 57*i - 19*i**3.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 256128575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36 = 2*w + 10, -2*l + 5*w + 7 = 0. Let v be l\/10 - -7*66\/(-70). Let d(a) = a**3 + 6*a**2 - 2*a - 14. Calculate d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 254215333?\nAnswer: 254215335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 95.6+0.01\nAnswer: 95.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28116 and 1827540?\nAnswer: 1827540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 260909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 + 0*g**2)*(-3*g + 2*g + 4*g + (-g + 3*g - 3*g)*(18 - 51 - 5)).\nAnswer: 82*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 23332?\nAnswer: -23330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 < 1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.355556 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187230151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*o**4 - 127*o**2 - o + 31*o**2 + 34*o**2 + 35*o**2 + 16*o**3 + 28*o**2 in the form w*o**2 + f*o**4 + g + i*o**3 + n*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29 (b) -3\/4 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 9*s + 1113. Sort -5, s, 5.\nAnswer: s, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + -2 - 7)) + (-276 - (-352 + 77)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 192 + m - 7*m**2 - m**3 - 203. Calculate r(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = 5*w - 75, w - 4*w + 21 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21 + 208*r**3 + 10*r**3 + 21*r + 19*r - 39*r - 7*r**3 wrt r.\nAnswer: 1266*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 + 12 = 4*h, -o + 2*h + 11 = 0. What is the remainder when 193 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 3. Let d be l(-2). Let r(w) = 3*w - 3. Let u(g) = -g**2 + g - 1. Give d*r(h) - 3*u(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3ca979 (base 13) to base 5\nAnswer: 334331302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1900*f**2. Let l(o) = -8*o + 17. Calculate l(c(p)).\nAnswer: 15200*p**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281\/9 + -31. Let p be ((-15)\/18 - -1)*-3. Let a = -1.8 - -2. What is the second biggest value in a, x, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 15*i**2 - i + 20. Let z be t(15). Solve 5*v - 16 = -3*o, -z*v + v = -2*o - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*x**2 + 1432 wrt x.\nAnswer: 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 12*u**2 - 12*u - 23. Let s be z(13). Sort 4, -5, s in increasing order.\nAnswer: s, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*g - 30. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 313 + 0 + (-23 - -20). Suppose a = 4*w - 70. What is the remainder when w is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02697 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:00 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, d: 1, a: 5}. What is prob of sequence hd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 948 = -3*s. Let o = s + 163. Solve -d - 2*d = 12, -5*m = o*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 21 + 31. Let d(c) = -c**2 + 12*c + 11. Let k be d(s). Let t(l) = 33*l**2 + 2*l + 3. Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111.9783 minutes to milliseconds.\nAnswer: 6718698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -340. Let j be ((-188)\/390)\/((-4)\/w). Let t = j - -358\/13. Calculate the common denominator of 29\/6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0, -878779, 5 in decreasing order.\nAnswer: 5, 2, 1, 0, -878779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 49*k**2 + 68*k**2 - 19 + 22 + 36 + 20*k. Let o be v(-3). What is o rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 69*i. Let c(p) = 3*p. Let u(v) = 16*v - 70. Let q be u(7). Let a(b) = q*c(b) - 2*h(b). Let f(l) = -3*l. Determine f(a(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-23))**(-3\/28)*(p**(-5)\/p)**(-3) assuming p is positive.\nAnswer: p**(573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 119\/21. Let a(w) = 2*w - 4*w + m*w. Let b(t) = 3*t**2. Calculate b(a(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144465\/4 + -36116. Which is the nearest to 1? (a) -17\/5 (b) v (c) -0.9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000332031 rounded to 7 decimal places?\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124289*b*q**2 + 2*q**2 - 2322*q - 11 with respect to b.\nAnswer: -124289*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let q(h) = 4*h**2 + 6*h - 6. Let l(v) = 6*j(v) - q(v). Let o(c) = -6*c**2. Give l(o(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-1760)*12)\/((-105)\/(-70)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -134, -202, -270, -338, -406?\n\"Answer: -68*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -7, -2\/3, 57533\/4, -0.1 in decreasing order.\nAnswer: 57533\/4, -0.1, -2\/3, -4\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0898 - -3.0898. What is the third biggest value in -4, -1.1, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1678, 3358, 5054, 6772, 8518, 10298, 12118?\nAnswer: 13984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13*h**(-4\/7) assuming h is positive.\nAnswer: h**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/3, 5, -2\/5, 101448?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Work out -149 * -0.4.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15 = -p, 2*p + 5*z = 2*z + 15. Solve 4*q = -5*r - 4, 4*r - p*q + 14 = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -522, -761, -972, -1149, -1286, -1377?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.5 - 1.5. Let w = 5.1 - f. What is the biggest value in -3\/8, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*72\/300.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 288 = -2*c. Let t be 12\/(36\/3)*-45. Let v = c + t. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12035077 and 15256?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3\/4, 1025.32, -0.1 in descending order.\nAnswer: 1025.32, 0.5, -0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 949*y**5\/20 + 827*y**2 + 1211*y. Differentiate v(p) wrt p.\nAnswer: 2847*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2094 + 4600?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465194596 to the nearest integer?\nAnswer: 21568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(288)\/sqrt(9))**2 + -2.\nAnswer: sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3020793 or 3020790?\nAnswer: 3020793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:12 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5 + 155*c**4 + 385*c**3 - 1755*c**2 - 2160*c + 5940 = 0.\nAnswer: -3, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 6*d**2 - 15*d + 0*d**2 + 8*d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 5*k**2 + k**2)*(-4*k**3 - 4*k**2 + 5*k**2 - k + 2*k).\nAnswer: 4*k**5 - k**4 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 5e29?\nAnswer: -5e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 390734.3694 rounded to the nearest 1000?\nAnswer: 391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25779.1 and -493.\nAnswer: -26272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 10*j - 3. Let h be i(10). Let p = -51 - -30. Let r be 16\/56 - 57\/p. Put -1, r, h, 4 in ascending order.\nAnswer: h, -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80237177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1271971 and 11?\nAnswer: 1271960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 - 2 - 2*w - 2 + 6 to l*w**3 + d + q*w + x*w**2 + n*w**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - -8) - (3 - 8) - -25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3\/4, 0.3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667815367?\nAnswer: 667815367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 3}. Give prob of sequence uubb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -805*s**2 - 961*s**2 + 2070*s**2 to the form y*s + u*s**2 + p and give u.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26063 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32766, -67248, -101730, -136212?\nAnswer: -170694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 12*m - 12. Let w(z) = z. Let l(t) = -g(t) + 6*w(t). Let a be l(-7). Suppose -5*n - 38 = -b, 5*n - 294 = -a*b + 4*n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(l - 4*l + 0*l) + 3 + 2*l - 3 + (3*l - l - 3*l)*(0 + 2 + 0))*(-16*l - 11*l + 14*l).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4976 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-12)*(0 + 90\/(-4)). Which is bigger: 13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(245) + -3 + -1 + (-2*(sqrt(245) + -1) - sqrt(245)))*-1)**2.\nAnswer: 1400*sqrt(5) + 24600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + -106*5\/40. Let n = g + 14. Factor 0*x + 0*x**2 - 1\/2*x**4 + 1\/4*x**5 + 0 + n*x**3.\nAnswer: x**3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1448\/20 - 12\/30. What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12472119 to the power of 1\/2, to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {d: 3, v: 8, x: 2, m: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j**3 + 4*j**2 + 9*j - 9. Let p(w) = -9*w**3 + w**2 + 3*w - 3. Let x(u) = 2*k(u) - 7*p(u). List the prime factors of x(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 9*z**2 - 9*z + 14. Let x be m(-10). Let k be (-4)\/23*(-2)\/x. Sort 0.3, k, 1 in descending order.\nAnswer: 1, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -436 in descending order.\nAnswer: 4, -5, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v - 11 + 2*v**2 + (v - v - v)*(-3*v + 5*v - 3*v) + 0*v**2 - 4*v**2 - 5*v**2.\nAnswer: -6*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404759510?\nAnswer: 2, 5, 109, 371339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*n + 185, 11*m = -n + 8*m + 41. Suppose n*s + 20485 - 4601 = 0. Is s at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(304).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 7*c**3 - 17*c + 7*c**3 + 33 - c**3 - 28*c**2 - 29*c. Let b be y(31). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-350)\/(-7) + -29\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -25.\nAnswer: 29\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/17302127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 160 * -0.45\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y - 5049 + 7*y - 2*y.\nAnswer: 6*y - 5049","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Suppose -4*g + 7*g = 54. Let q(m) = -12*m + 5. Let p(u) = -1 + 42*u - 9 - 8. Let b(w) = g*q(w) + 5*p(w). Calculate i(b(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -112?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69 times -363?\nAnswer: 613.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -745 (base 11) to base 3.\nAnswer: -1020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18140, 18275, 18410, 18545?\nAnswer: 18680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f - 9 = -70 - 74. Factor -2\/3*d + 0*d**2 + 2\/9 + 8\/9*d**f.\nAnswer: 2*(d + 1)*(2*d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1. Let s(r) = 10 - 3*r**3 + 0*r**3 + r**3. Let y(f) = s(f) + 8*x(f). Find the first derivative of y(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(1\/4)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8cb5 (base 13) to base 14.\nAnswer: -138847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*j**2*q**3 + 2*j**2*q - 2*j**2 + 24*q**3 + q**2 + 285 wrt q.\nAnswer: 510*j**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtnuh. What is prob of sequence nh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -610, -2954, -8754, -19738, -37634, -64170, -101074, -150074?\n\"Answer: -288*h**3 - 328*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -2, 3, -5 in ascending order.\nAnswer: -5, -2, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f + 1. Let g(v) = 8*v**3 - 22*v**2 - 6*v - 6. Let r(k) = -g(k) - 6*i(k). Find w such that r(w) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - 7*n**2 - 13*n + 22. Calculate c(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 94 = -61*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 35 = -5*h, 5*h = 5*n + 40. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 6) to base 14\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/158, -60, -4 in ascending order.\nAnswer: -60, -4, 1\/158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/8)*20\/750*-15?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194015\/42441 - -1\/42441. Suppose c*h**2 - 8\/7*h - 2*h**3 + 0 = 0. Calculate h.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.4 + -10. Let y = -403 + 402.6. Let z be (-12)\/(-8) - 46\/36. Sort p, z, y, 2\/13 in increasing order.\nAnswer: y, 2\/13, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 20 = -5*w - 2*k, 5*w - 3*k = 29. Let i = 569 + -564. What is the nearest to 0.1 in w, i, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, 2\/27, 0.\nAnswer: 0, 2\/27, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2867466 and 17353?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v - 103. Let r be q(-15). Let p(w) = w**2 - 8*w**r + w**3 + 1 - 2 - 6*w**3 + 4*w**3. Calculate p(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 1\/4, -5, 384\/287?\nAnswer: 384\/287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35811311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 1. Let a(p) = 4*p - 2. Let g(i) = -6*a(i) - 11*q(i). What is the tens digit of g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*j - 32, 6*z - 12 = 4*z - 5*j. Does z = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p + 1. Let n(g) = 105*g**2 + 84*g - 84. Let d(w) = 84*i(w) + n(w). Let u(c) = 2*c. Calculate d(u(y)).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12267534 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccucciiccc. What is prob of picking 1 u and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (77\/2)\/(6\/12) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301317 - 301724.538. Let g = 408 + p. What is g rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = -a, 4*a = r - 3*r - 8. Let z be 0*(0 - a\/(-1)). Suppose z = y - 0 + 6. Let w(i) = i**3 + 5*i**2 - 8*i - 3. What is w(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1036 + -756. Suppose -v - m = -56, -9*v - z = -14*v - 2*m. Calculate the lowest common multiple of v and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 48*r**3 - r**2. Let m be f(-1). Suppose 136*a + 3744 = 42*a - 1332. Let z = m - a. Solve -5*h - z - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177917710 a multiple of 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.127 - 1.347. Let j = -0.11 + o. What is j rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 24022873.\nAnswer: 1\/24022873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m**3 - 30*m**3 + 31*m**3 - 2*m**4 + m**2 to h*m**3 + i*m + a + s*m**4 + u*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1178*b + 6879. Calculate p(-6).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 11445917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3116 times -57290\nAnswer: -178515640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047 + 2*y**3 + 1052 - 2099.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (16 + -7 + 1 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27810)\/(-55) - -3 - (-6)\/(-33). Let b = 509 - a. Factor -6\/11*t**2 - b*t - 2\/11 - 2\/11*t**3.\nAnswer: -2*(t + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + r - 5 + 19, -4*r - 26 = 2*q. Suppose -2*d - 8 - 10 = 0. Let b = q - d. Solve -b*k + 19 - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27715503?\nAnswer: 3, 29, 318569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159994794 to the power of 1\/2, to the nearest integer?\nAnswer: 12649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 78*r + 113. Suppose -d = 18 + 4. Let l = d - -33. Calculate the lowest common multiple of l and h(79).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/21 and -33\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*o - 161*o - 142*o)*(-2*o - o + o).\nAnswer: 422*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 988 + -944. What is the greatest common factor of 1408 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122, 222, 320, 416, 510, 602?\n\"Answer: -c**2 + 103*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1060*i + 2*i**2 - 1060*i. Let a(p) = -9181*p. Determine a(c(x)).\nAnswer: -18362*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b**3 - 151*b**2 + 78*b + 12. Give g(-11).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -0.51.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(46\/(-69))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.04866 and -122.754?\nAnswer: 114.70534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 18. Solve p*n - 4 = f, 2*f + n - 1 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -60. Put n, -0.3, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -157. Solve -2*q + q = 4*c - 15, -t = -3*q - 4*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11529843 and -11529843 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*y - 379390, 0*g = 3*g - 5*y - 1138190. Round g to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.04 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a. Let o(w) = -6*w - 1. Let m(p) = 2*o(p) + 5*s(p). Give m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671792.\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:48 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 4, -17, -56, -119, -212, -341?\n\"Answer: -r**3 - 2*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 104, 299, 604, 1019, 1544?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-537)\/684 - -2*(-9)\/(-24). Let r = 238\/285 + h. Factor 2\/5*y**4 - 2\/5 - 4\/5*y**3 + 0*y**2 + r*y.\nAnswer: 2*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18633 + 336\/(-16) + 10?\nAnswer: 2, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 + 448. Suppose -3*v = 170 + b. Let g = v - -196. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1908*j**2*m**6 + j**2*m**2 - 132*j**2*m + 2*j**2 wrt m?\nAnswer: 228960*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 + 2\/(2 - 4). Suppose 12*r - v*r = -32. Let w be -1 - (1 + 0)*-3. Solve -p - y = -r, -y = p - w*y + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + s + 648 = -0*c, -5*c + 4*s + 1080 = 0. Suppose 3*t - c = t. Let g = -63 + t. What is the highest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 10) in base 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:19 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/2)\/4)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 2*p**2 - p - 3. Let v(f) = -9*f**3 + 4*f**2 + 3*f + 7. Determine -7*r(k) - 3*v(k).\nAnswer: -k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174.34 rounded to the nearest 10?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*o**3*u**3 - 7*o**2*u**3 + 16*u**3 wrt o?\nAnswer: 1068*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 101 + 12*f**2)*(5 - 2 - 1)*(4*f + 4*f - 6*f)*(4 - 3 + 1).\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(35)*1*6*2)\/((sqrt(7) + sqrt(343)*-1)*3))*6.\nAnswer: -30 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 636678, 1273351, 1910024, 2546697?\n\"Answer: 636673*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13380*l = -13457*l - 1617 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 403 + -401. Let n(s) = -7*s + 7. Let z be n(7). Does 15 divide 1 + (-1)\/y*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - 12*h + 8. Calculate p(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2 + 14*j - 8. Let w(p) = -4*p**2 + 5*p - 3. Let s(k) = -6. Let l(o) = -o - 1. Let z(y) = 3*l(y) - 3*s(y). Let g be z(6). Give g*v(x) + 8*w(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 129*r + 165*r + 2*r**3.\nAnswer: -3*r**3 + 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*y - 240*b + 16886*y wrt b.\nAnswer: -3*y - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n*v**2 - 8*n*v*y + 9*v**2*y**3 - 37*v**2 - y**3 wrt y?\nAnswer: -8*n*v + 27*v**2*y**2 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(20\/11)\/k)*k*k**(-45))\/(k\/(k\/(k\/(k*k**(1\/60)*k))*k))**(-1\/2) assuming k is positive.\nAnswer: k**(-59171\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from zuuuzzkuklh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(100\/(-12)) - 84\/40. What is the second smallest value in j, -2, 3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1736.5627+-0.7\nAnswer: -1737.2627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269217 is divided by 1550.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 11:39 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((16\/12)\/1)\/(37\/(-111)). Suppose -5*b + 2 = -3. Sort -7, -1, y, b in decreasing order.\nAnswer: b, -1, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5940*k + 126. Let n(x) = -914*x - 19. Calculate -10*m(t) - 66*n(t).\nAnswer: 924*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 - g**2 - g**2 + 6*g**2. Suppose 0 = v - 2*l - 10, v + l = -0*v - 5. Let q(n) = -2*n**2 + v*n + 4 - n - 15*n**2. What is -9*k(y) - 2*q(y)?\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20107544.\nAnswer: 2, 2513443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 0*q**4 + 0*q**4 - 2*q**2 + 2*q**2 - q**4 + (0*q**3 - q**3 + 0*q**3)*(0*q + 0*q - 2*q) + (-2*q**2 - 9*q**2 + 4*q**2)*(6*q**2 - 47*q**2 + 8*q**2).\nAnswer: 233*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48\/91, 2, 117, 0.3?\nAnswer: -48\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/41, 2\/15, 46 in ascending order.\nAnswer: 1\/41, 2\/15, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**3 + 3*y**2 + 18*y - 3. Let g(a) = a**3 + a**2 - a - 1. Let i(d) = 3*g(d) - r(d). Find the second derivative of i(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/50 - w**4\/10 + w**3\/15 + 3*w**2\/5 - 8*w. Suppose l(f) = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1121, -685, -3695, -7909, -13327, -19949?\n\"Answer: -602*i**2 + 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1)\/2 - ((-2)\/7)\/((-9156)\/(-5341)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 55592223\nAnswer: -11118444.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 t, and 1 u when four letters picked without replacement from gtufgptn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 1 - 1)*(124 - 124 + 71*m) - 8*m**3 + 28*m**3 + 10*m**3.\nAnswer: 101*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2 - ((-12)\/14)\/((-13)\/(1183\/(-104))).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0*i**2 - 1\/6*i**4 - 43*i - 5\/6*i**3 + 0. What is r(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(3 - 2))\/1. Let a be 6\/(-3) + 3 + o. Suppose -a*l = s - 26, -l + 4*s + 28 = 3*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 9*l. Let n be i(-7). Let p = n + -29. Suppose 6 = -4*w - p. Is -1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*((-15345)\/(-172062))\/155.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v**3 + 6*v**2 - 15*v + 1. Let l(t) = -2*t**3 + t**2 - 1. Let s(i) = -f(i) - 3*l(i). Factor s(w).\nAnswer: -(w - 1)*(w + 2)*(8*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*r. Suppose -2*y - 12427 + 37157 = r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g - 4 = 0. Let a = 2 + -1.9. Let c = 0.2 - a. Sort c, 4, g in decreasing order.\nAnswer: 4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6155300 and 0.13?\nAnswer: 6155299.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 9*y**2 - 12*y - 10. Let z be t(7). Let n be (1 - 0)\/(7\/21). Solve -v - n = -z*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10553*j - 10561*j - 10543*j - 10548*j - 10554*j + 52758*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z. Suppose 5*p - 4*l = 15, p + 5*l + z = 3. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9944839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1465)\/(-35) - 19307\/449.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-5) - -1)*(2 - 399\/42). Solve -29*l + 92 = -c*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4023, 0, 26 in increasing order.\nAnswer: -4023, 0, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -388\/3 - -150. Find the common denominator of -21\/38 and v.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 20*j - 719. Let b(u) = 13*u**3 + 4*u**2 - 21*u + 719. Let i(w) = 3*b(w) + 4*q(w). What is the derivative of i(d) wrt d?\nAnswer: 105*d**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3403875 divided by 15.\nAnswer: 226925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 5*d**4\/12 + 80*d**3 - 8325*d**2\/2 - 4284*d. Factor q(s).\nAnswer: 5*(s - 15)*(s + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v**2 - 8*v**2 + 59*v**2 + (3 - 1 - 1)*(-1 + v**2 + 1) + 338*v**2 - 165*v**2 - 165*v**2)*(2 + 5 - 6).\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*m = -3851*m - 129411 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35390553*u**4 + 40541697?\nAnswer: -141562212*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50b5 - -b?\nAnswer: -50a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35820512.\nAnswer: 2, 7, 13, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-9)*9\/6. Let z = 8 + l. Let n(i) = 0 + z - 2 + i**2 + 2*i + 0*i. Give n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2 and (-2)\/(-9) - 665\/(-693)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2 - 3*n - 1. Let f(q) = 7. Let d(p) = -5*f(p) - h(p). Determine d(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2677, -2699, -2751, -2845, -2993?\n\"Answer: -2*s**3 - 3*s**2 + s - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 11:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -60*w**5 - 162*w**4 - 9*w**3 - 15*w**2 + 30. Let h(u) = -45*u**5 - 121*u**4 - 7*u**3 - 11*u**2 + 22. Let s(b) = -15*h(b) + 11*i(b). Factor s(a).\nAnswer: 3*a**3*(a + 2)*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796336 to the power of 1\/2, to the nearest integer?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 360, 518, 676, 834?\n\"Answer: 158*d + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:14 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(10\/14 + -1). Let q be (60\/35)\/((-2)\/h). Let x = 9 - q. Sort -3, x, 1 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538013 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4\/27, 3, 2.\nAnswer: -1\/4, -4\/27, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 101*n + 7310. Is -80 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjq. Give prob of sequence jq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -493\/48 - -31\/3. Let j(w) be the third derivative of h*w**4 + 0 + 0*w - w**2 + 1\/4*w**3 - 1\/80*w**6 - 1\/40*w**5. Factor j(d).\nAnswer: -3*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 3*v**2)*(0*v**3 + 0*v**3 + 8 + 3*v**3) + (5 - 5 + 4)*(-2*v**5 + 2*v**3 - 2*v**3).\nAnswer: -5*v**5 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 2, p: 4, j: 3, s: 4}. What is prob of picking 2 s, 1 n, and 1 c?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506015837.\nAnswer: 5813, 87049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45962027 - 1146*h - 45962027.\nAnswer: -1146*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381126117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3358 is divided by 1082.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-8 - -30 - 15 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/20)\/((-3)\/(-26)). Find the first derivative of -10*n**2 - z + 46 - 13 - 16 wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.8 + 2.8. Let u = -1.033 + 0.733. Which is the third smallest value? (a) u (b) t (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -402, 2, -1, 4, 5 in descending order.\nAnswer: 5, 4, 2, -1, -4, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00120272 rounded to 5 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(102) - -2*-1*sqrt(102))*4)\/(-1*sqrt(384)*-1).\nAnswer: -sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 65, 153, 259, 389, 549?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:56 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + 7*k. Let n = k + 6. Calculate the greatest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6848*z**4 + 82*z**3 - 5*z**2 - 47690161 wrt z?\nAnswer: -27392*z**3 + 246*z**2 - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284288720 - 1.3.\nAnswer: 284288718.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5058986754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1300) + 3 + -5)*-2 + (-3*sqrt(1300) + sqrt(1300) + -3 - (1 + (3*sqrt(1300) - sqrt(1300)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/(-2) + 4\/8. Let l = -12 - s. What is the third derivative of -q**2 - 2*q**2 + 6*q**2 + l*q**4 wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(300)\/sqrt(2))*3)\/(sqrt(162)*-1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 2. Let x(m) = -12*m + 16. Let q(w) be the second derivative of 13*w**3\/6 - 7*w**2 + 16*w. Let l(o) = 3*q(o) + 2*x(o). Give 11*i(n) + 2*l(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c + 1315. Let k be m(77). Solve 130 = -k*n + 106 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1449.39 + 1402. Let g = p - -48. Round g to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28318 - 310242\/11. Let m = 114 - j. What is the nearest to 1\/4 in -6, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10990\/22 - (19152\/627 - 30). Is 500 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.1 - 6.1. Let u = w - 45.8. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 100*c**3 - 7*c**2 + 10*c - 5. Let l(t) = 52*t**3 - 3*t**2 + 4*t - 2. Give -2*b(r) + 5*l(r).\nAnswer: 60*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -1\/127, -1, 0.2, 0.11, -42?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-12))\/(1\/(-28)). What is the units digit of 6\/r + (-172)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*3*(-6)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-8\/5)*q\/(q*q**(1\/14)*q*q)*(q\/(q*q\/(q*q\/q**3*q*q)))**22 assuming q is positive.\nAnswer: q**(-187\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 295 = 5*a, 4*q = a - 0*q - 47. Let b = 66 - a. Calculate the highest common divisor of 21 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 922\/10)\/(7\/35). What is c rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 13*m + 0*m**2 + 7*m - 3*m**3 + 12*m - 5*m**2 + 6*m**3 to k*m**2 + n*m + j + a*m**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 286*z - 7220. Give d(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013679454418 to 6 dps.\nAnswer: 0.013679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1561*o**2 - 70. Let d(p) = 10*p**2 - 2. Give 3*a(w) - 105*d(w).\nAnswer: 3633*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31858731 divided by 60453?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 2*k + 2. Let y = 7 + -4. Let v be s(y). Let x = v - -31. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*f**3 - 123*f**3 + 178*f**3 + (7*f - f + 3*f)*(-5*f**2 - 2*f**2 + 5*f**2) in the form s*f + k*f**2 + w + u*f**3 and give u.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39543758 bigger than 39543758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -71927\nAnswer: 3596.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33539427 a multiple of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2030 - 2030 - 6*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -539744526 divided by -6?\nAnswer: 89957421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7252*v + 7253*v + j + 4 = -3*j, 8 = -4*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74109146, 74109144, 74109142?\n\"Answer: -2*i + 74109148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 j when three letters picked without replacement from {c: 1, p: 1, j: 3, o: 7, v: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let a(q) = -3*q. Let o(i) = -3*a(i) + 4*l(i). Let u(c) = 16*c. Give o(u(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*q + 20 - 11, -4*q + 24 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 233, 292, 357, 428, 505?\n\"Answer: 3*d**2 + 50*d + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**4\/4 + 4*s**3\/3 + 3*s**2 - s + 2. Does 16 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 37.013. Let n = 1.013 + p. Let z = 2381\/13 - 183. Which is the closest to 1\/2? (a) z (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -42.\nAnswer: 19\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 268165435\/462 + -580445. Calculate the common denominator of s and 139\/770.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027044 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**7)**(-47) assuming m is positive.\nAnswer: m**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 10:09 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1838781)\/18)\/(-189))\/23.\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -21.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:18 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6916209 nanograms in kilograms?\nAnswer: 0.0000000000006916209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from ppc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -265 - -1206?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*v**3 + 37*v**3 + 2*v**5 + (5*v**3 - v**3 - 2*v**3)*(v**2 - 2*v + 2*v) + 2*v**5 + 2 - 2 + 3 - 3 + v**5 + 2*v**5 + 2*v**4 - 2*v**4.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 37261160 = 8572240. What is h rounded to the nearest 10000?\nAnswer: 2550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02061652735 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h + 5*h - 5*l + 63, l = 5*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l**2 - 4*l - 8. Let d be c(-3). Does 3 divide d - 28 - (-1 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, -35, -3, -1.\nAnswer: -35, -3, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -452, -436, -402, -344, -256, -132, 34?\n\"Answer: i**3 + 3*i**2 - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + (56 - 45) - ((-8 - -2) + 4 + -2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 160*d**2 - 8*d + 10. Let k be l(7). Suppose 15*z + 1115 = 10025. Suppose k = 8*s + z. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0. Let c = 0 + x. Let g = 2 + -1.8. What is the nearest to c in g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248274045 a multiple of 8225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*b - 540 - 3347 = 0. Let x(j) = -10*j**2 + 13*j. Let y(c) = 5*c**2 - 6*c. Determine b*y(z) + 6*x(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 9. Let a = i - -23. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25556, 51135, 76714, 102293, 127872, 153451?\n\"Answer: 25579*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*n + 22 = 0, -20 = 7*u - 5*u - 4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -54 + 69. Sort -4, 0.5, i, 1\/4 in descending order.\nAnswer: 0.5, 1\/4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) -0.1 (c) 33 (d) -5 (e) -0.3 (f) -34 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccuvvjvvmqqmq. Give prob of sequence ju.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + -4 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*h + 2184 = -164*h. Suppose -h = 12*n - 38*n. What is the smallest common multiple of n and 15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.166 and -0.2?\nAnswer: -4.8332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 + 21*n**2 - 19*n - 21. Let l(t) = t**3 + 20*t**2 - 18*t - 20. Let j(s) = -3*l(s) + 2*u(s). Let o be j(17). Sort 5, -15, o in decreasing order.\nAnswer: 5, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.321 - 0.321. Which is the biggest value? (a) 17 (b) 2\/5 (c) y (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 7)*(2*j + j - 5*j)*(13*j + 23*j + 11*j) - j**2 + 0*j**2 + 2*j**2.\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 9*s**2 - 8*s + 12. What is the hundreds digit of w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc (base 15) to base 5.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90631*l**3*t**3 + 4*l**3*t**2 - 11571*t**2 wrt t.\nAnswer: 543786*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 d when four letters picked without replacement from {d: 11, f: 5, b: 1, q: 3}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 28 - 37 - 100*s - 36 + 141 to the form q + b*s and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 11*k + 1144 = 0. Suppose -k*b + 98*b = -360. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*a - 105*a - 120 = 5*z, -z + 5*z = -a - z - 120 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 11 - 2 + 3 - 4 + 0 - 2 + 3 + 1 + (1 + 2 - 1)*(-2 + 0 + 1) - 3 + 6 - 1 - 1 + 0 + 2 - 4 + 3 + 0)*(-3*x**2 + 4*x**2 + 3*x**2) - 3 - 2*x**2 + 3.\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10860891?\nAnswer: 3, 661, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y - 3. Calculate the lowest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3430.9 + -3433.9. Let v = -4 + -1. Which is the fourth smallest value? (a) v (b) o (c) -0.1 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*c*p - 9*c*t - p*t + 14*p - 2*t wrt c?\nAnswer: -15*p - 9*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -244032*z - 244020. Determine p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 13*z - 9*z. Solve 3 = 3*h - z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x + 1. Let r be y(-3). Let h be 34 + (4\/r - 0). Calculate the greatest common factor of h and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + 9*x - 9. Let o be c(7). Is 5 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h - 69*h = 165*h - 4858 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:52 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (-5 + (sqrt(304) - -3*sqrt(304)) + sqrt(304)) - sqrt(304) - (1 + 2 + sqrt(304)))*6)**2.\nAnswer: -3456*sqrt(19) + 394128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 40*m + 37. Let b be n(-1). Let f be 21\/(-14)*46\/b. Solve 3*g + 18 + 3 = -3*w, 5*w + g = -f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101211 (base 3) to base 12\nAnswer: 101a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1 + 6\/4). Let f = 3232\/635 - 240\/127. Factor 24\/5*a**2 + n - f*a**3 + 4\/5*a**4 - 16\/5*a.\nAnswer: 4*(a - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71007058?\nAnswer: 2, 35503529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.7 + 0.3. Let m = y + -28. Which is smaller: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.53922 kilometers in centimeters?\nAnswer: 7153922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 6:34 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -0.45601840187998.\nAnswer: 0.54398159812002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*j**2*y**2 + 6558*j**2*y - 81*y**2 wrt y?\nAnswer: -204*j**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**3 + 47*f**2 - 9*f - 4. Calculate z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/(i\/(i*i\/(i**9\/i))*i*i*i*i))*i*i)\/i**2*(i**(3\/5)\/i)**(-4) assuming i is positive.\nAnswer: i**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 0, -2 in decreasing order.\nAnswer: 0, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0.22, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m - 4. Let i be d(-3). Let y = i + 7. Suppose 4*s - 47 = z, -2*s + 22 = -y*z + 4*z. What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 divided by 428967?\nAnswer: -218\/142989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496643 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1086)\/(-4) + (-2)\/(-4). Let y = -5714\/21 + k. Let r = 9 - 9.4. What is the third smallest value in y, -5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 2\/3*n**3 + 5 + 0*n**2 + 0*n. Let t(g) = g. Give x(t(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1089 and -41\/18045.\nAnswer: 2183445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnynnnynnynynnnnnyn. What is prob of sequence yy?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 409 and 176279.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -2*l**3 + 2*l**2 - 48*l. Let d be f(-2). Suppose 6*a - a - 210 = 0. What is the greatest common factor of a and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + 1984\/(-144) + -3. Which is the second smallest value? (a) l (b) 4\/169 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -61, -49, -2.\nAnswer: -61, -49, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92 - -84) + 2 + (4 - (1 - 33)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7618216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30303492 or 30303491?\nAnswer: 30303492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 16. Let g be a(7). Let v be -1 - (2\/6 - 187\/g). Let u(s) = 6*s + 9. Determine u(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.4*-63221\nAnswer: 25288.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (-5 - -6) - -7) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 6. Let m be n(0). Let z(q) = 0*q + 1 - 5*q - 7*q + q**2 - q**3 + 4*q. Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 102 = 3*l. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 75. Let b be l(9). Let v = 8 - 3. Put v, b, 4 in descending order.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*1836\/816\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/1945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5 + 5 + 3*y**2 + (11*y + 10*y - 4*y)*(-1 + 4*y + 8*y - 5*y).\nAnswer: 122*y**2 - 17*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose 0 = -t*v + 77 + 123. Find the common denominator of (-2)\/v*(-138 - 8) and -1\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11073753 is divided by 587?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 14 = 3*v, 27*v - h + 24 = 29*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880505 is divided by 110.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f = z - 1078, f - 8 = -0*z - 22*z + 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-77)\/33).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24221, 193718, 653781, 1549694, 3026741, 5230206, 8305373?\n\"Answer: 24214*j**3 - j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + (70 - 70) + -67.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, 0.4, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/(f\/f**1)*f)\/f)**20)**24*((f**(2\/9))**(-2\/15))**(-2\/5) assuming f is positive.\nAnswer: f**(972008\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1873\/11 (b) 1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-78) + 10 + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:41 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83566*r**2*z**2 - r*z**3 + 6*z**3 + 1129 wrt r?\nAnswer: 167132*r*z**2 - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(29\/((-812)\/8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + 0.07. Let p = -0.0025 + w. Round p to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4 + 3 + 9 + 136601*y.\nAnswer: 136601*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2139\/14840 or -1?\nAnswer: 2139\/14840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9524017*p**5 - 2*p**2 + 9904*p + 275.\nAnswer: 571441020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4460169 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(252))**2)*5.\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8710 + -8709.999992953. What is q rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a + 4. Let n be (4\/(-10))\/(12\/(-60)). Let m(i) = -6*i + 5. What is n*m(k) - 3*r(k)?\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 202*j**2 - 477*j**2 + 216*j**2. Let b = -9 - -11. Let u(i) = i - 3*i + b*i - i. Give c(u(d)).\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 374 (b) -10\/29 (c) -149 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 1552678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 97*g - 198*g - 124*g - 3. Let h(p) = 1124*p + 16. Let l(f) = 2*h(f) + 11*n(f). Is l(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crs when three letters picked without replacement from {c: 5, p: 1, s: 2, r: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1086, 1088, 1090, 1092, 1094, 1096?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 + -199. Solve 32 = -a*h - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-21)\/630*-894)*1\/(10\/(-25))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25937 divided by 37\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/3, 0.06, 3\/4, 2\/17, 4, 10\/3 in decreasing order.\nAnswer: 4, 11\/3, 10\/3, 3\/4, 2\/17, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*p - 88 = -843*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 59*f**2 + 119*f - 283. Calculate c(57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o**2 + 5*o - 5. Suppose -5*j - 14 = -12*j. Let u be g(j). Calculate the highest common divisor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/120 + 5*i**3\/6 - 6*i. Let p(l) be the second derivative of h(l). Let u(n) = -5*n**2. What is u(p(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3322 + 3346. What is the least common multiple of 1017 and k?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -2902, -3 in descending order.\nAnswer: -3, -72, -2902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.91 + 0.18. Let y = t + -0.09. Let z = y + -3. Which is the smallest value? (a) 3\/2 (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**4 + i**2. Let z = 1 - 2. Let n(d) = 0*d**2 - 2*d**4 - 2*d**2 + 6*d**2 - 2*d**4. Let t(x) = z*n(x) + 3*h(x). Suppose t(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 3. Give v(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -296\/5 (b) -2\/15 (c) -5 (d) 12\/5 (e) 1\/23 (f) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*s**5 - 110*s**4 + 160*s**3 - 100*s**2 + 20*s + 2.\nAnswer: 2*(s - 1)**4*(14*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1352331\/3070 - 881\/2. Let b be (21\/(-1155)*11 + (-18)\/(-15))*(1 + -2). Does v = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**2. Suppose 146*q = -158*q + 307*q - 12. Let x(f) be the second derivative of -1\/4*f**q + 0*f**2 + 0 - 12*f + 0*f**3. Determine x(d(c)).\nAnswer: -867*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + (6 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 847, 1701, 2555, 3409?\nAnswer: 4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 3, z: 6, n: 3}. Give prob of sequence zozo.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdk when three letters picked without replacement from okossrokrskosrkd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-83)\/4*(-8)\/2. Find the third derivative of 742*s**2 + 48*s**4 - 902*s**2 + u*s**4 - 47*s**4 wrt s.\nAnswer: 2016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qya. What is prob of picking 1 a and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z = -42*z - 1344. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**39)\/(q**(1\/3)\/q))**(-44))**(-19) assuming q is positive.\nAnswer: q**(-93632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 788855 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.5 + -114. Let n be (-1)\/(-5)*5\/3. What is the biggest value in n, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12644 (base 7) in base 9?\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06058 * -0.04.\nAnswer: -0.0024232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.641475 millilitres to litres.\nAnswer: 0.000641475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -17 + 20. Let h(b) = -13*b**2 + 24. Let s(z) = 0*z**2 - 142 + 154 - 7*z**2. Let m(d) = i*h(d) - 7*s(d). What is the first derivative of m(j) wrt j?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/7 + (-29 - 14076\/(-483)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*z**2 - 3)*(0 - 1 + 3) - 2*z**2 - 1 + 1 + 59 + 25*z**2 - 59 - 7*z**2 - 16*z**2 - 5*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 17 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*f - f + 4*h, 5*f + 3*h - 176 = 0. Let q = -29 + f. Suppose 5*j + 10 = -q*a, -2*a - 6 + 2 = -3*j. Sort -3, j, 9.\nAnswer: -3, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 90. Let c = i + 31. Let x be (1\/(-3))\/(c\/(-12)). Solve q + x*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13 (b) 37 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 14*x + 49. Calculate m(-12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*l*x**3 + 381*l*x**2 wrt x.\nAnswer: -1578*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 34623 + 34590 = 35*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:08 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3125458.\nAnswer: 2, 7, 223247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8192\/160)\/32*(-2)\/(-40)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 49. Let t(b) = -5*b + 25. Calculate 5*t(l) + 3*w(l).\nAnswer: -l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 55\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - f**2 + 14*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 1 + -2)*(-14 + 7884\/564).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*f + 83 - 51 = 0, -5*a + 5*f = -5. What is the fourth smallest value in -2\/5, 6, -14, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -3\/8 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 1029\/28 - (-2)\/8?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462751373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - 6 - -21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -238, -1.3, -4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhlqqrqe. What is prob of picking 1 e, 1 q, and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**9\/7560 - v**5\/40 - v**4\/8 - 2*v**2. Let y(f) be the second derivative of o(f). Differentiate y(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0485 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 604?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 5*n + 2)*(0*n + n + n + 5 - 5 - 7*n + (-3 + 4 + 1)*(2*n - 4*n + n) + 3*n - n + 6*n + n - 5*n + 2*n).\nAnswer: 5*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.99 - 3.01. Put 5, -1\/4, 1\/2, q in decreasing order.\nAnswer: 5, 1\/2, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49498822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g**2 - 3*g. Give a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180302537?\nAnswer: 180302537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -446 (base 7) to base 3\nAnswer: -22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 + 0 = 4*q, k - 6 = -2*q. What is the second derivative of -9*z**2 + 16*z**2 + 0*z**q + 2*z wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -18*v**2 + 3*v + 6. Determine t(4).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 485.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5364730170 and -0.4.\nAnswer: -5364730170.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5771 is divided by 445?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -3*z**5\/4 + 48*z**2. Let v(g) = 4*g**2. Give v(q(m)).\nAnswer: 8100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 537 + -534. Is o != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 140, 207?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(8\/(-1764)). Suppose 3*d = -y + 4*y - n, 0 = -4*d - 3*y - 224. What is the tens digit of (-1 + d\/(-5))*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 22. Let n = 15 - -9. Let z = n + g. Solve 0*q + z = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p**3 - 409*p**3 - 967*p**3.\nAnswer: -1472*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 0.6. Let y = -0.600068 - p. Round y to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 11:13 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*p + 4*b + 126, -2*b + 2 = 0. Calculate the least common multiple of 40 and p.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = y - 6658 + 6758, 7*y = 4*h - 700 for y.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/3*(-4 - (-30)\/8). Which is the closest to 2? (a) 2 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, d: 7, j: 1, b: 4}. Give prob of sequence rs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/3))**(-1\/2)\/(m**(2\/13)\/m**(-7)) assuming m is positive.\nAnswer: m**(-292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 2)*3\/6. Suppose 0 = 3*j - 4*b - 5, t*j = -j + 3*b + 6. Solve j = -3*h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96a - 491313?\nAnswer: -492182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2594139 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20172, -20126, -20082, -20040, -20000?\n\"Answer: -d**2 + 49*d - 20220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d*d**(-4\/3))\/(d*d\/(d*d\/(d\/((d**5*d*d*d)\/d)))*d*d**(-2)) assuming d is positive.\nAnswer: d**(148\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-6) + (-5)\/(-2) and (7 - 15\/2)\/((-3)\/96).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 257*t - 256*t - 299, 0 = s - t - 67. What is the remainder when 1072 is divided by s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 5 + 2*a - 4.\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20031 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 2)*(4*l + 0*l + 2*l) + 0 - 8*l + 0 + l + 0*l + 7*l)*(-3*l**2 + 3*l**2 + l**4).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshhshhhthghhhshhsg. Give prob of sequence gsg.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, 2\/25, 3\/8, -1 in decreasing order.\nAnswer: 3\/8, 2\/25, -2\/11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72466 divided by 3814?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10014?\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/15 + 227\/4800. What is the common denominator of 41\/16 and n?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4875, -9753, -14673, -19629, -24615, -29625, -34653?\nAnswer: -39693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 58*o + 316. Calculate g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -799, -2134, -4063, -6616, -9823?\nAnswer: -13714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2007599*x**3 + 5*x**2 + 569672971 wrt x.\nAnswer: -6022797*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7066 divided by -36?\nAnswer: -3533\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8.02147 - 3\nAnswer: -11.02147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.220887 from 53974.\nAnswer: 53973.779113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 28*t - 5 = 0. Which is greater: -2\/181 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6*s**5 - 110*s**4 - 82*s**3 + 110*s**2 + 76*s = 0?\nAnswer: -1, -2\/3, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -54. Suppose -952 = -5*f - 3*t, 4*f = g*t - 222 + 966. Let z = f + -109. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 14*j = -5245. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1829489.999 to the nearest one hundred.\nAnswer: -1829500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -703, -704, -705?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15929352*u - 15929352*u + 41*u**2.\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 4, 3, -4, -21, -116 in descending order.\nAnswer: 20, 4, 3, -3, -4, -21, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 30*k - 35*k - 5, 2*m + 3*k = -6. Which is the smallest value? (a) 2\/7 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = c - 2, 4*o - 2*c = -3*c + 8. Suppose -o*q - 2*q + 11 = 3*n, -8 = n + 4*q. Solve 0 = 3*f + f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117679195 to the nearest 1000000.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2226148*p - 2226232*p = 5544 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 5:23 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 648 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6931301352 to the nearest 1000000.\nAnswer: -6931000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 8*n**2 - 4*n + 2. Calculate j(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36464 is divided by 3596.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -1.7. Let v = -0.06 + 3.06. Sort 0.3, y, 1\/2, v in descending order.\nAnswer: v, 1\/2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7118044, 7117993, 7117914, 7117813, 7117696?\n\"Answer: x**3 - 20*x**2 + 2*x + 7118061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -355 + 34?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/4997 and -43\/1235?\nAnswer: 324805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -92, -3\/7, 2\/5, -14\/1097, 2\/11?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*y = 12 - 34, 5*y + 62 = 2*s. Is -24 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - m + 6 = 0, 0 = m - 32 + 27. Suppose 4*q + 8 = -4. Let l(o) = -2*o - 4. Calculate the remainder when l(q) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let m(x) = x**3 - 2*x**2 - x - 1. Let w be m(3). Suppose -w*h + k = -184. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20187 is divided by 297?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1190\/306*6\/20. Which is the biggest value? (a) n (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -74124\nAnswer: 29649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2085 * 1\nAnswer: -2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -597, -2374, -5327, -9450, -14737, -21182, -28779?\n\"Answer: m**3 - 594*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3)\/15*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/9)*v*v*(v\/v**(-2\/7))\/v*v*(v**(1\/3))**(10\/13) assuming v is positive.\nAnswer: v**(3083\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = k - 1754 + 1763, 8*f - 2 = 4*k + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 9*z**2\/2 - 42*z - 4. Let w(q) = 5*q - 21. Let g(r) = -4*n(r) + 7*w(r). Does 3 divide g(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123099509 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -150733.16 rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5891 - 3?\nAnswer: -5894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (29 - (13 + -1 + 4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = j + 18, -2*a + 160 - 162 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 - 1052*q**3 + 98584*q**2 - 951808*q = 0.\nAnswer: -338, 0, 11, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1444034326 and -71\/18?\nAnswer: 12996308934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416093 by -3.\nAnswer: 416093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7394 = 2*u + 882. Which is smaller: 3259 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-1 + -1)*378\/(-108). Solve 4*k + 8 = d, 3*d + 38 - l = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126490 and 3136952?\nAnswer: 15684760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 977570.1 months?\nAnswer: 81464.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249184, -2498370, -3747556?\nAnswer: -4996742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*4\/(-2). Let h(l) = -4*l - 1. Let f be h(-1). Suppose t = 4*p + 22, 0*p + f*p + 17 = t. Which is the second biggest value? (a) y (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2525, 5050, 7575, 10100, 12625, 15150?\n\"Answer: 2525*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/3 + 4*o**3 - 16*o**2\/3 - 16*o.\nAnswer: 4*o*(o - 2)*(o + 2)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276890156.\nAnswer: 2, 563, 122953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = -5*k, 5*k - 16 + 1 = 3*a. Solve 0 = 3*w - a*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90337 is divided by 167?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:09 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 21*j**2 + 6258*j**3 - 6658*j**3.\nAnswer: -400*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 - 8 = 0. Suppose -3*q + r*q = 7. What is the greatest common factor of 77 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 - 6366*g**3 - 31776*g**2 - 44466*g - 19053 = 0. What is g?\nAnswer: -2117, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3094110*-0.9.\nAnswer: -2784699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84927.4496 + 30582.454. Let f = o + 54358. Let k = f - 13. What is k rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853449408 a multiple of 8432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2450*y - 6 = -2446*y, j - 10 = 6*j + 5*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192209617?\nAnswer: 1192209617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10063?\nAnswer: 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + f**4 + 2*f**4)*(-11*f - 4 + 5*f + 2).\nAnswer: 6*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59776, 121329, 182872, 244399, 305904?\n\"Answer: -o**3 + o**2 + 61557*o - 1781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 42*w + 17*w + 24*w.\nAnswer: 83*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 165 - 184 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-360) + (-17)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 25*k**2 - 122*k\/5 + 248\/5.\nAnswer: -(k - 1)*(k + 2)*(k + 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-1)\/1 - 1). Suppose 0 = -3*h + g - 0. Are 1\/2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 + 7*i**2 - 4*i - 3. Let d(u) = -13*u**3 + 28*u**2 - 17*u - 12. Let f(z) = 2*d(z) - 9*m(z). What is the tens digit of f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3725 = -5*x - 5*n, -2*x + 4*x - 5*n = 1497. Is -2*13*3\/(-12)*x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.0118?\nAnswer: 0.1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 4, a: 6}. Give prob of sequence avma.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 65052579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46632 and 0.08?\nAnswer: 46632.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 4, -5, -0.1, -0.03, -42 in ascending order.\nAnswer: -42, -5, -0.1, -0.03, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 47 = -b, 0 = v + 3*b - 2*b - 21. Suppose -2*s + 7*i = 8*i - 203, -15 = 3*i. Suppose -5*o + z + s = 0, v - 106 = -4*o + 4*z. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + 10*g - 20. Let s be x(6). Solve 4 = -2*v - s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/(1015\/532))\/((-2)\/775). Calculate the highest common divisor of 186 and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*((1 + sqrt(392))*4*-1 + (sqrt(392) + -1 + -1)*-4)**2.\nAnswer: -100419 + 3584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40222152 (base 6) to base 14.\nAnswer: -218c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 666 - 4*f - 673 + 1364)*(-2*f**2 - 3*f**2 + 3*f**2) to the form o*f**2 + x*f**3 + m*f + v and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343623732.\nAnswer: 2, 23, 25474171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(4\/7)))\/y)**(-14)*(y*y\/(y\/(y\/((y*y**(-24))\/y))))**(-14))**50 assuming y is positive.\nAnswer: y**(-17100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (34 - (18 + 36)) + (-3 - 85)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*i**3 + f*i + 2*f + 4*i**3 + i**2 + 3*i wrt i?\nAnswer: -18*f*i + 24*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812319 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: Two letters picked without replacement from {f: 1, p: 2, r: 3, q: 4, d: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3648*d**2 + 2 + 3657*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97760768 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfulyy. What is prob of sequence ufl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 122. Let z = 77 + -78. What is the nearest to z in -2, h, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171311.463 milliseconds to days.\nAnswer: 0.0019827715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 5*w**5 + 5*w**5 + (4 - 4 + 3*w)*(-w**4 + w**4 - 8*w**4) - 2 + w**5 + 2 - 3*w**5 + 3*w**5 - w**5.\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v - 2*t + 1 = 29*v, -3*t - 1 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-91))\/(-1 + (-15)\/(-14)). Let a = -1.4 + -0.6. Let u = a + 0. What is the second biggest value in -5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*n - 20*n - 968*n - 76245 = 254*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 368 - 326.2. What is a rounded to zero dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:51 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 168. Let k(d) = 104 - 6*d - i - 48. Let f(z) = 5*z + 1 - 1 - 7*z. Calculate k(f(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -845095*v**2 + 14757*v wrt v?\nAnswer: -1690190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(5) + sqrt(20)) + -1*1*sqrt(5))*1.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Let w(d) = d - t*d - 4*d + 4 + d**2. Let o be w(7). What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-6)\/(-297))\/((-14)\/21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(65) - sqrt(65))*-2 - (-4*(sqrt(65)*2 + sqrt(65)) + sqrt(65) + sqrt(65) - sqrt(65)))\/((sqrt(245) + (sqrt(245) - 4*sqrt(245)*-3))*3).\nAnswer: 17*sqrt(13)\/294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 124, -11, -2\/5, 0.5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - 295. Find the third derivative of -72*b**6 + 115*b**2 + d*b**6 - 15*b**6 - 2*b**6 + 86*b**2 wrt b.\nAnswer: -10320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r**3 + 4*r**2 + 18*r + 6. Let z(i) = -7*i**3 - i**2 - 6*i - 2. Let v(c) = -5*f(c) - 14*z(c). Factor v(b).\nAnswer: -2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 2*k - 1 + 2*k + 0*k. Let f be y(6). Solve 21 = -5*c - 5*s + s, s - 1 = f*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, -18483, -2, -5, 1, 5.\nAnswer: -18483, -17, -5, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 108331980847.\nAnswer: 108331980850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 2. Suppose -3*s = 2*t + 15, -t = s + 4*t + 5. Let v(g) = -g + 1. What is s*v(l) - 2*m(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 13 - 53 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -664, -1464, -2570, -3976, -5676, -7664, -9934?\nAnswer: -12480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-12))\/((-1)\/13)*-64 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -100*o**3 - 123*o**2 - 47*o + 27. Is 387 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is 1983336779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17377 in 0.2, -5, -0.12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69 + -4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/10 + d**4\/6 - 8*d**3\/3 + d - 4. Find the second derivative of t(w) wrt w.\nAnswer: 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 72. Calculate the remainder when (1617\/385)\/(3 + 2448\/(-820)) is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70254, -70262, -70274, -70290, -70310, -70334, -70362?\nAnswer: -70394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 46*v - 3. Let z be b(4). Suppose 5*t = -5*h + 1475, 3*h - 767 + z = -2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1381180, -2762353, -4143526, -5524699?\nAnswer: -6905872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 104.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujfv when four letters picked without replacement from jjujfjvjujujjujjjffu.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + n - 3. Let s be p(-3). Let u be (-33)\/(-9) + 4\/s. Put -3, -5, u in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440493049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10 - m**3 - 2*m**2 + 11 - 2*m + 0*m**3. Let f be v(0). Solve 2*o = 4*s - 3*o - f, -o = -s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811710735 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = -5*q, 6 = 3*q - q - 4*v. What is the biggest value in 0.1, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b - 2019 = -148*b + 685 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*s - 27*s - 88*s + 11675 + 196*s in the form a*s + r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*m + 63. What is the units digit of (-2360)\/(-24) - m\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-174)\/18 + 2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703682770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 15 + 9*r**4 - 26 - 12*r**4 + 9 - 3*r**2 as u + k*r**2 + c*r**4 + h*r + p*r**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 11) to base 2\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31a1 + 726?\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -414853 greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5)*5)**2 + sqrt(200) + -1 + sqrt(2).\nAnswer: 11*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 2*o - 45. Suppose 0*w + 3*w + o*z = -9, w - 14 = 4*z. Suppose 0 = w*q + 3*n - 121, 4*n - n - 3 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3302 - 1808. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30632*t**3 - 61442*t**3 - 3*t**2 + 30651*t**3 + 2 + 2 + 2 to the form q*t + h + u*t**2 + b*t**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 10*b**2 - 2*b - 9. What is the units digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9758588 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -7383*r**5\/5 - r**3 + 197*r**2 - 3*r + 2809. What is the third derivative of q(v) wrt v?\nAnswer: -177192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b3a2 + 9a?\nAnswer: -13b305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + -122121002?\nAnswer: -122110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from yrzrzzzrrr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*h - 110*h + 214*h - 92*h as o*h + v and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*z + 2*z + 25, -25 = -5*k + 3*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -0.4, -25943, -0.5 in decreasing order.\nAnswer: 0.13, -0.4, -0.5, -25943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 74 - 194 = 0. Put 2, g, -11, 1 in decreasing order.\nAnswer: 2, 1, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1542146 is divided by 385535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhpwhphwyphpptw. What is prob of sequence wtw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + g - g)*(3 + 0 + 3)*(-619 + 13 - 71) as d + h*g and give h.\nAnswer: -4062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3\/5 + 2019*i**2 - 180981*i\/5 + 813321\/5 = 0?\nAnswer: 9, 3347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-11 - (3 - 1)) + -19 + 25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 3*c)*(60*c**3 + 6*c**3 - 2*c**3).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*i + 107*i = 10332. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -4.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 11:51 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1897*u + 3422 = -1896*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/((-8)\/(-6)))\/((-162)\/216). Let q(m) be the third derivative of 0 + 0*m + 0*m**5 - 1\/4*m**4 - 4*m**w + 2\/3*m**3 + 1\/60*m**6. Factor q(r).\nAnswer: 2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2174 + 636 + 305 + 630 + 644 + 556)*(-4*j + 0*j + 3*j) to q + l*j and give l.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.5+3\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdp when three letters picked without replacement from {f: 1, p: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2. Suppose -4*q + 75 = -2*u - 3*q, 151 = -4*u + 3*q. Let c(i) = -i**3 - 37*i**2 - 2. Let n be c(u). Calculate k(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22429573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 999 + 26272?\nAnswer: 27271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -16*z + 21. Let i(u) be the first derivative of 2*u**3\/3 - 5*u**2\/2 - 3*u + 7. What is i(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -337, -534, -751?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 22 = 74317*y - 74314*y, -y = -4*a - 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 6*k**2 + k**2 + (-4*k**2 + 11*k**2 - 5*k**2 - k)*(-59 - 27 - 60).\nAnswer: -298*k**2 + 146*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086540 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + (0 - (-1 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2) + 5*1. Let n be 8128\/672 - ((-12)\/(-28) + 1\/(-3)). Put u, -4, 1, n in descending order.\nAnswer: n, u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 292*u**3 - 9714*u**2 + 71440*u + 80864.\nAnswer: -2*(u - 7)*(u + 1)*(u + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 14223013751.4965?\nAnswer: 14223013755.4965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4068, -81, 2, 0 in descending order.\nAnswer: 4068, 2, 0, -16, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -18. What is the fourth biggest value in -5, -0.6, -3, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/17 + 22*y\/17 - 36\/17.\nAnswer: -2*(y - 9)*(y - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujvjuvuvuqq. Give prob of picking 1 v and 1 u.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 - -1180. What is the greatest common factor of 345 and a?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15190795 to the power of 1\/2, to the nearest integer?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*x, 0*t + 10 = -2*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -78, -4446, -4.\nAnswer: -4446, -78, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350 divided by 6.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(3*g - 4*g + 0*g) + 2*g + 3*g - 3*g - g + 414 - 871 + 367.\nAnswer: 2*g - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1194*h**2. Let g(k) = 122031*k**2 - 244075*k**2 + 122037*k**2. What is g(z(d))?\nAnswer: -9979452*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3967, 7946, 11947, 15982, 20063, 24202?\n\"Answer: 2*p**3 - p**2 + 3968*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven quarters of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 4372*o\/7 - 2389298\/7.\nAnswer: -2*(o + 1093)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 2*u - 2. Suppose -d = 2*d - 6. Let h(l) = l**d - 2 + 2. Give -h(m) + x(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02888 - 16.97112. What is the fifth biggest value in -1\/2, 0.4, -1, x, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347373663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n**2 + 6*n + 12*n + 3*n - 3*n.\nAnswer: 56*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-28) - (60\/(-14))\/6. Let c be o - (-2 + 5 + -3). Solve 6*r - 5*r = -c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7071148380 rounded to the nearest one million?\nAnswer: 7071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*((-20)\/16)\/5. Solve -2*o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32681 divided by -9723.\nAnswer: -32681\/9723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 332, 1319, 2964, 5267?\n\"Answer: 329*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 - 18 = 3*u, 3*u + 8 = 4*n. Suppose r = -4*r - 10, -5*v - r = -8. Let k(d) = -4*d**2 + 10*d**3 + 1 + 4*d**2 - d**v - 2*d**3. Calculate k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.168 + 0.132. Which is the nearest to -0.7? (a) 0.5 (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*m*t**2 + 3267*f*m + 38*f*t**2 + 5788*f + 891536*m*t**2 + m + t wrt t.\nAnswer: 4*f*m + 76*f + 1783072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.5. Let i = -0.1 - r. Which is the second smallest value? (a) -0.3 (b) i (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(13\/4))\/(b*b**(-6)*b))\/(b\/(b**(2\/7)*b))**(2\/19) assuming b is positive.\nAnswer: b**(947\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790410 divided by -15.\nAnswer: 52694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 + 9*a - 7. What is v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/72*(-36)\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 17. Let g be (-3)\/(-3)*(-1)\/(-3). Factor 1\/3*f**2 + a*f - g.\nAnswer: (f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 189\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 42.9999515. Round w to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*s + (4 - 1 - 2)*(2*s - 5*s + 2*s))*(29 - 16 - 24).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:21 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 127.450179 and -1.7.\nAnswer: 125.750179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -2 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 12 = 18*t. Suppose 4*i = f + 53, t*f + 3 = i - 2*i. Suppose -3*o + 33 = i. Solve 4*h + o - 3 = 4*d, -h + 17 = 5*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)*j*(j*j**4\/j)\/j*j*((j*j*j**(-5))\/j)\/(j\/(j\/(j*j**(4\/3)*j))) assuming j is positive.\nAnswer: j**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1437 + 826?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 5488.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -15.5. Which is the closest to -1? (a) q (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 20 = -8*v. Suppose -2*b = -3*l + 2 - 1, -v*l = b - 19. Suppose 0*m = -l*m + 6. Solve -a + 1 = -m*u, -2 - 2 = -2*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43389 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*p - 2*d - 13, 5*d = -p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124, -127, -118, -91, -40, 41?\n\"Answer: d**3 - 10*d - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 17*n**2 + 16*n + 18. Let a be p(-16). Suppose -a = -4*w - 5*w. Suppose 2*v = 11 - 7. Solve -4*g = -3*f + 20, w*g + 0*g - v*f = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-7)*1503\/1336\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 25*v**2 + 23*v - 24. Let u be d(-24). Solve -10*j + 11*j - 3 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l + 149115 - 1337637. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 13, n: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from pupnpuupnnndpunpu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 12. Let o be (-2)\/(-3) + 10\/p. Suppose -2*m - o = 0, 4*k + 5*m + 10 = 2*k. Solve 4*n - 16 + k = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.07 (b) 251429 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5605697 is divided by 312?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.6 (b) -3\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 38. Suppose -t + 12 = -s*u, -4*t + u + 6 = -4. Put -4, -1, t, 3 in decreasing order.\nAnswer: 3, t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*q + 58. Let l(g) = -g + 19. What is l(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*n + 1 + 2 - 3.\nAnswer: 372*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-21)*(-1)\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/10*(4 + 9605\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, h: 1, c: 5, a: 5}. What is prob of picking 2 l and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 3*r**3 - 337874*r**2 + 41928028*r?\nAnswer: -40*r**3 - 18*r - 675748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.029.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = -0. Suppose -4 + 1 = u. Let j = -38217 + 38215. Put 2\/11, m, u, j in descending order.\nAnswer: m, 2\/11, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y - 9*y + 7*y)*(0 - 4 + 3)*(-208 - 24 + 74)*((-1 + 7 - 4)*(4 - 2 - 1) - 4 + 4 - 6).\nAnswer: 5688*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + 10 + -11 + -27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 + j + 4. Suppose -l = -2 - 0. Let q be z(l). Suppose q*f = -w + 242, 3*w = -3*f + 234 + 132. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1266 - 25560?\nAnswer: -26836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2}. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287909, 575896, 863883, 1151870, 1439857?\nAnswer: 1727844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 23 + 27*u - 8.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00063188894 rounded to 6 decimal places?\nAnswer: -0.000632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.3 (b) -29 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77813 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 5. Let t(p) = -p**3 - 2*p - 1. Let u be t(-1). Let x(b) = -6 + 3*b**2 - 4*b**u + 6*b**2. Suppose 15*h - 17*h = 12. What is h*k(a) - 5*x(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 5912323.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1949*l**2 + 6015*l**2 - 2019*l**2 - 1957*l**2.\nAnswer: 90*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -186, 0.07, -7\/5, 5?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let i be (2 - -1)\/(3\/n). Suppose -4 - 4 = -i*p. Solve 3*t = -r - 20, -3*r + 6*r - 5 = p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 14 + 14 - 3*g - 2*g + 4*g + (g - 2*g + 2*g)*(-1 - 1 + 1))*(1 + 6*g - 1).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25*v - 178. Let z be t(7). Let h(k) = 22*k. Let r(a) = 1121*a. Give z*r(j) + 152*h(j).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8.07. Let z = 2.93 + j. Put 5, z, 0.4 in ascending order.\nAnswer: 0.4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bd (base 14) to base 12.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-970)\/31040)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13233170 by -5.\nAnswer: 2646634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7760\/(-2660))\/2 - (288\/189 - 40\/15)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.56 and -31791.\nAnswer: -208548.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 7*c\/4 + 39\/2.\nAnswer: -(c - 6)*(c + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((12\/(-14))\/3). Let c = 3 + -2. Let h = c - f. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 0.2. Let t = 631\/27 - 622\/27. Which is the third biggest value? (a) -34 (b) p (c) -2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -463, -685, -907, -1129, -1351?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/((-9)\/2))\/(44\/330). Let q(k) = -2*k. Let r(n) = -6*n. Let g(w) = i*r(w) + 14*q(w). Let t(y) be the first derivative of -y**2 + 1. Calculate g(t(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 54324*c**3 + 245924748*c**2 = 0. Calculate c.\nAnswer: -9054, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-116)\/38 + 3 + 3\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 121*x - 44. Let a(j) = j**2 - 18*j + 59. Let h be a(4). Let n(i) = -8*i + 3. Give h*d(g) + 44*n(g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1064880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.590858 - 1195?\nAnswer: -1199.590858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 64*g - 10856. Calculate k(137).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111075657 to the power of 1\/2, to the nearest integer?\nAnswer: 10539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/11 + 22882*a + 57033296\/11 = 0. What is a?\nAnswer: -125624, -227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -4 (b) 0.515 (c) 0.5 (d) 0.4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2745 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/13 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1284*f**3 + 8*f**2 - f - 2. Let u be k(-4). Let o = 404979053\/4936 + u. Let t = o - -4243\/1851. Calculate the common denominator of t and 23\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30648 + 30646. Let i(l) = -3*l**2 + 26*l + 57. What is i(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 2*k + 2. Let h = 92 - 90. Suppose -3*g = -h*i - 2, -6*g + 3 = -3*i - g. Let s be 95\/57*(i - -4). Determine z(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -21. Let n be i\/13 - 2\/(-13). Are 9\/7 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 3}. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -311673768 divided by 1842?\nAnswer: -169204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19465829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 87339*k. Let y(b) = -2*b**2. Calculate y(v(p)).\nAnswer: -15256201842*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.265754ng to grams.\nAnswer: 0.000000009265754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 3832426.\nAnswer: 3832425.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**(1\/4)*j)**29 assuming j is positive.\nAnswer: j**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1486997\/(-34641) - (6\/(-30) + (-37)\/(-135))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 46 = 4*h, -2*h + h = -1. Let p be (c\/6)\/(4836\/(-1611) - -3). Suppose p = 5*i + 2*i. What are the prime factors of i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 3*o - 4. Let v(x) = 3*x**2 + 5*x + 9. Give 5*f(w) + 3*v(w).\nAnswer: -w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-36))\/(34\/(-765))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 12*i + 31)*(4*i + i - 3*i + (-1 - 3 + 3)*(3*i - 2*i + 0*i) - 6*i + 2*i + 2*i - 1 + 1 - i) + 2*i**2 - 4*i + 4*i.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let b = 50 + -70. Let k be (b\/15)\/((-2)\/6). Suppose -3*p - k = p. Give w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11175187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 153 = -31. Suppose 2*z = 4*z - n. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465082?\nAnswer: 2, 19, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 18, 4, -6, -12, -14, -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:19 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4 - (-1 - -3). Let g(z) = -z**3 + 5*z**2 - 4*z - 3. Let w be g(2). What is the nearest to -1\/3 in h, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t - 1. Let n = 10 - 15. Let x = 2 + n. Let c be r(x). Solve -c*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*n**4 - 3*n**2 - 49*n + 0*n + n**3 + 2*n**2 + n**3 - 12*n**4 to o + d*n**3 + k*n + y*n**4 + r*n**2 and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65820*x**4 + x - 19125 wrt x.\nAnswer: 789840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + (-2)\/(-4). Let h = -81\/7 + 11. What is the closest to -1 in h, 0.2, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-229)\/(-5) + 1\/5. Let p = -30 + b. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 33 - 3 + 6 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(225) + -2*sqrt(225)) + 2 + (-2*sqrt(12)*-1)\/(sqrt(4) - 6*(sqrt(4) - sqrt(4)*2)).\nAnswer: 3*sqrt(3)\/35 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1182720 and 2816?\nAnswer: 1182720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 996819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t - 2119. What is g(149)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 - 202735*a**4 + 1216290*a**3 - 2432510*a**2 + 2027065*a - 608115 = 0. What is a?\nAnswer: 1, 3, 40541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2924? (a) -12\/13 (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**3 - o**2 + 22*o - 22. Let z be u(1). Let g be 0 + (-3 - -1) + 4. Solve -g*b = z - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = -2*r, -575*h + 580*h = r - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -1190, -1774, -2380, -3014, -3682?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a3a5 (base 14) in base 4?\nAnswer: -1020201331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-174*60\/(-945))\/(168\/294)\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -653\/7. Let m = -644.969 + 647. Let y = m - 0.031. Which is the nearest to y? (a) -0.2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.6. Let y = 0.672 + 0.028. Let c = 1.3 + y. What is the closest to 1\/2 in 5\/2, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 156 = 4*u + 3*j, -2*u = 3*j - 82. Let x = 23 + -4. Suppose 4*m - x + 7 = 0. Solve -m*i - 21 = 2*y, 0 = 5*y + 3*i + i + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 89 (b) -8\/159 (c) 31 (d) 5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*q = -y - 0*y, 3*q = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 2*u**2 + u**2 - 62339*u**3 + 62337*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*z - 37, -5*t + 2*z + 18 + 15 = 0. Suppose 0 = -4*j + 2*j + 2*v + 10, t*j = v + 33. Calculate the lowest common multiple of j and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 26*w - 17. Let z(o) = -o**2 - 13*o + 9. Let y(p) = -6*g(p) - 13*z(p). Let s be y(-14). Is -2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -89. Suppose w = 5*d - u - 4*u + 3555, -4*u - 1446 = 2*d. Let g = -178 - d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -86*h**2 + 2*h - 1. Let g(z) = -43*z**2 - 1. Determine 3*d(x) - 7*g(x).\nAnswer: 43*x**2 + 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 129600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2. Let x(u) = -4*u - 30. Let n(d) = 2*d + 6. Let j be n(-7). Let k be x(j). Let y(h) = -1 - 2 - h**k + 3. Determine y(g(l)).\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 185*j - 117*j + 6*j - 4. Calculate a(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6.56963, -6, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2 + 1\/3*a**3 + 3\/2*a**2 - 4*a. Does 6 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1185 (base 9) to base 12.\nAnswer: 61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*q + 3763*q - 4725*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -7314 (c) 0 (d) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 + 380*d = 0. Calculate d.\nAnswer: 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = 5*a, -1 - 4 = -5*l. Is ((-6)\/a)\/((-4)\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3591?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 k when four letters picked without replacement from cckkkkcccckk?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(475)*-1)*5 + -4 + (sqrt(475) - (0 + sqrt(475))*2) + -1)**2.\nAnswer: -120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3\/3 + k**2 - 12*k. Let v be (4\/(-1))\/(0 - 1). What is the tens digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/62636656 and -31\/28352.\nAnswer: 250546624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - 6*q + 15. Let x be l(5). Let z be (-36)\/x - (-4)\/(-35). What is the nearest to z in 1\/7, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8316 (b) -1\/73 (c) 4\/7 (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:31 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(196))\/(3*-3*sqrt(576)).\nAnswer: -sqrt(2)\/378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/(-34))\/(2\/12). Suppose -b = -4*b + 6. Solve b*z + j = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.124989us in hours?\nAnswer: 0.0000000008680525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 9 = 4*d - 3, 5*d + 0*d - 8*w = 70 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 11:51 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 4. Suppose 14 = 5*a + h - 27, 4*a - 4*h = 28. Let q(t) = -2*t + 6. Calculate a*y(z) - 5*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 14*v - 968 = 0. Suppose 0 = 2*k - 5*l - v, -2*l + 0*l - 60 = -k. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-885)\/(-63) - (-68 - -82)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**2\/2 + 53*h - 554. Let s(x) = 12*x. What is s(t(m))?\nAnswer: -12*m + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**3 - w - 3. Give b(-2).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 42 = 33. Let q be ((-4)\/6)\/(4\/6). Let d = 16 + q. What is the greatest common factor of d and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15628, -62343, -140160, -249085, -389124?\n\"Answer: -y**3 - 15545*y**2 - 73*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*q = 106*q - 286620. What is the least common multiple of 8 and q?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - i. Let d be l(-1). Suppose -d*n - o = -16 - 212, 4*o + 397 = 5*n. Let u = -52 + n. What is the highest common factor of 10 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 3 (c) 195 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10957, 30779, 68349, 132541, 232229, 376287, 573589, 833009?\n\"Answer: 1479*p**3 + 9469*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let w = u - -1.2. Let s be (6 - (-525)\/(-84)) + (-1)\/(-12). What is the second biggest value in s, -6, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 + 8. Let b be g(6). Let u = b - 6. Let v(t) = -t - 4*t**2 + t + 3*t**u. Let z(i) = 4*i**2. What is v(z(r))?\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/10 + 70713\/(-17460))*4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.1, -2\/5, -8\/33.\nAnswer: -5, -2\/5, -8\/33, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6)**45 assuming z is positive.\nAnswer: z**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/d**(-5))\/d))\/d**(2\/11))\/(d**(-4\/3)\/(d*d*d**(-10))) assuming d is positive.\nAnswer: d**(-391\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let p(z) = 266*z. Let a(l) = 44022*l. Let y(c) = 5*a(c) - 828*p(c). Calculate x(y(v)).\nAnswer: -38088*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5607*i**2 - 11203*i**2 + 5598*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 3272.34241?\nAnswer: -3272.34241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*v + 4)*(-5 + 8 + 4)*(5 - 11 - 4).\nAnswer: -140*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29751959 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75.4766kg?\nAnswer: 75476600000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 59*o - 852. Calculate the smallest common multiple of c(-26) and 2944.\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + j + 3 = 1, -h = -3*j + 15. Let q = 0 + -0.1. Let t be (-45)\/(-72)*(-2)\/5. What is the nearest to t in -2\/13, h, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -17) + 20 - 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 445980*g + 9944908020 = 0. What is g?\nAnswer: -44598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -63, -98?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 1, o: 1, g: 1, t: 1}. Give prob of sequence gftn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4048298104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.2325 years to millennia.\nAnswer: 0.0292325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/4, 1\/6, 5\/4, 414 in ascending order.\nAnswer: 1\/6, 3\/4, 5\/4, 3, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Which is the closest to -2? (a) 4 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100220200200 (base 3) to base 7\nAnswer: 114245010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/10, -6, -4, -1742.\nAnswer: -1742, -6, -4, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 3803844?\nAnswer: 72273036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 171+-73.9\nAnswer: 97.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 268 + 825*d - 132*d - 681*d. Calculate n(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -736, -890, -796, -376?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34921589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 60 + 86 = -494. Let v(m) = 29*m**2 + 17*m - 11. Let l(d) = 14*d**2 + 8*d - 5. Determine w*l(o) + 6*v(o).\nAnswer: -8*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 36*j**3 - 6*j**2 + 14*j**2.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77965735?\nAnswer: 5, 1063, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(1 + sqrt(5)) - (1*sqrt(320) - (sqrt(5) + (sqrt(180) - (sqrt(180) + -1)))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 3)*(-4 - 2 + 3)*(0*m**3 + 3*m**3 + 2*m**2 - 2*m**3).\nAnswer: -18*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**2 + 1\/60*d**5 - 5*d + 0 - 1\/180*d**6 + 0*d**3 - 1\/72*d**4. Determine f, given that h(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308419849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.787045 litres in millilitres?\nAnswer: 787.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46981582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41480?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*l**3 - 14614*l**2 + 460008*l - 3941784.\nAnswer: 2*(l - 18)**2*(34*l - 6083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.73 + -0.73. What is the third smallest value in x, 4, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 7. Let m be 30\/20 - (-1)\/2. Let s(u) = 430*u**2 - 19 + 18 - m*u - 432*u**2. Let k(d) = -4*d**2 - 5*d - 3. What is r*s(h) - 2*k(h)?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p**2. Let a(b) = -4602*b. Determine v(a(g)).\nAnswer: -338854464*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + y - 12 = 0, 24*c + 5*y + 2016 - 2061 = 19*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -2, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-630) - (-194)\/18 - (-2 + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210872?\nAnswer: 2, 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**2 - 113*c + 206. Determine y(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -f - 245, h - 5*h + 4*f = -500. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740850 and 8?\nAnswer: 2963400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*h = 650*h - 5*n - 5, -h + 4*n + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -p - 2*p - 1450, -5*r = -4*p - 1445. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340586645 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 806?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 244 - 84*d + 84*d + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 387 - 142. Let m be 7\/(t\/(-10)) + 30\/7. Solve -m*i - 6 - 10 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1181464650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1011 + -523. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, z: 8}. What is prob of picking 3 z?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000782516 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*o - 1 = -19, 4*a = -5*o + 17. Suppose 4*g = 3 + 1, 4*y = a*g + 9. Let i be 4\/(-20) + 14\/(-5). Sort -1, i, y in decreasing order.\nAnswer: y, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -62 - (9 + (-22 - -5))) + 5?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4.1762\nAnswer: -12.5286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203032002230333 - 3?\nAnswer: 203032002230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 127*b + 286*b**2 - 22*b - 84*b - 21*b. Let q(f) = 2*f. Determine v(q(h)).\nAnswer: 1144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o*o**(1\/5)*o*o)\/o))*o)\/o**(-7\/5) assuming o is positive.\nAnswer: o**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79277 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31712, -31954, -32232, -32564, -32968, -33462?\n\"Answer: -3*x**3 - 221*x - 31488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let w(m) = -3*m**2 - 4*m**2 + g*m**2 + 4*m**2. Let p(u) be the first derivative of 2*u**3\/3 - 65. What is w(p(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/90)\/((22\/(-8))\/(218240\/(-444416)))?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 204*y**3 - 75*y**2 + 292*y**3 + 2*y - 20 + 264*y**3 = 0.\nAnswer: 0, 1\/32, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*u - 4*y, 115 = u - y + 91. Let f(s) = -2*s + 12. What is f(u)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 38. Suppose 242 = -4*j + 6*j. Let u = -4 + j. Calculate the remainder when u is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*q + 314*q + 42189 = 104*q for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + 1.5. Let o = -10\/7 - -27\/14. Let h = 0 + o. What is the closest to 2\/7 in 0.1, f, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5199.86 from -264381235.\nAnswer: -264386434.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*u + 4*u - 2, -2*u = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140175155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 - 120*c**4 + 36*c**3 + 4736*c**2 + 14352*c + 12096 = 0?\nAnswer: -3, -2, 9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502391 (base 10) to base 9.\nAnswer: 845132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212213*v**2 + 5*v - 493580.\nAnswer: -424426*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - c**4 + 0*c**4 + (5*c**2 + c**2 - 4*c**2)*(-3 + 3 + 5*c**2) - 6*c**4 + 3*c**4 + 2*c**4 to s*c + d + p*c**3 + u*c**2 + f*c**4 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 4*l - 3. Let b(q) = q**2 + q - 1. Let x(o) = -3*b(o) + w(o). Let j = -455 - -453. What is x(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x - 59*x**3 - 166*x**3 - 29*x - 438*x**3.\nAnswer: -663*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(1\/21 - 2\/6). Let k(x) = 2*x**2 + x - 3. Let f(o) = -5*o**2 - 2*o + 7. Determine z*k(n) - 6*f(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4466 - -4481. Calculate the greatest common factor of j and 7440.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 38*m - 119. Calculate c(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -502*y**3 - 1287*y - 2964*y**4 - 2*y**2 - 3643*y**4 + 502*y**3 wrt y.\nAnswer: -158568*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100201202 + -2?\nAnswer: 1100201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + 50*m**2 - 4199*m + 87980. Give a(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/3 + 27730*t**2\/3 - 1260864*t - 12096000 = 0 for t.\nAnswer: -14000, -9, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 20373716*l**2.\nAnswer: -2*l**2*(l + 10186858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1037 (b) -0.5 (c) -5 (d) -0.639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let m(n) = 3*n**2 + 1. Let u(x) = -2*x**2. Let b(s) = -7*m(s) - 6*u(s). Let c(j) = 3*j**2 + 2. Let z(f) = 6*b(f) + 21*c(f). Give z(w(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203330233 - -2001?\nAnswer: -203322232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 263460*v - 3470558580.\nAnswer: -5*(v - 26346)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjbbmm. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:08 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11964, -23930, -35896, -47862, -59828, -71794?\nAnswer: -83760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**4 + 5*n**2 - 9*n**2 - n**4 wrt n.\nAnswer: -168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 0.8278.\nAnswer: 0.7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16003 - -352161\/22. Let j be 8*1*2\/4. Calculate the common denominator of (-2)\/j - (-40)\/18 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/33)\/j**(2\/17)*j**12*j**36\/j*j*j assuming j is positive.\nAnswer: j**(27440\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -121, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -3)\/(-3)*-1. Let a be (-5)\/(-2 + 1) - k. Solve -5*s - 2*i + 22 = -5*i, -2*s = a*i + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuugluuur. What is prob of picking 2 v, 1 l, and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202 - 1212?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1151.\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -399.5 + 361. Let w = r + -5.5. Is 0.3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 439*h**2\/4 + 3377*h\/2 - 6356.\nAnswer: -(h - 8)*(h - 7)*(h + 454)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y - 9. Let x be g(2). Solve -3*o + x*o + p = 0, -4*o = -p - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6413 + -6417. Let u(m) = -m**3 - 6*m**2 - 8*m + 8. What is u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 52, -100793?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 471?\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 93 = -48*z. Let d(f) = -4*f - 5*f**2 + 6*f + 4*f**3 + 3*f - 3*f**3. Let n(h) = -h**2 + h. Calculate z*d(o) + 15*n(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 15. Suppose -5*f - 3*k = -6*f + 19, 2*k = -j*f + 61. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 + 3*r - 12. Let k be y(5). Suppose -8 = o - 4*c, 2*o + k*c = 4*c + 5. Calculate the least common multiple of o and 65.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*c + 16 + 32, 0 = a + 2*c - 7. Let y = -1 + 1. Suppose -4*r + 2*r + 3*d - 6 = y, 3*r + a = 5*d. Solve -8 = 2*t - g, -4 = -5*t + r*g - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -x, -3*x - 28 = -5*k - 4. Let p = -120\/11 + 2498\/231. Which is the smallest value? (a) p (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 8, r: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*d - 230638, -5*d - 18011 = -4*r + 443257. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334.367 + 331.367. Suppose -z - 3 = -3*v, 0*v - z = -5*v + 3. Suppose v*h = -4*h. Which is the nearest to h? (a) 1 (b) n (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693418 is divided by 455.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1217792 and 31808.\nAnswer: 8524544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196912.\nAnswer: 2, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 1222?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -14. Let b(h) = h**3 + 21*h**2 + 46*h + 159. Let y be b(-19). Solve -y*u + 2*u - k = 0, 3*o - 2*u + 13 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -1, 17, 16, -26 in decreasing order.\nAnswer: 17, 16, 2, -1, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 6*u - 1\/4*u**4 - 3*u**2 + 0 + 0*u**3. Let k(h) be the first derivative of m(h). Let x(q) = -3*q. Give k(x(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = -4*y, 5*y = y - 8. Let z be 2\/m*(-1 + 2). What is the units digit of (-18)\/(-4) + z\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 7336 = -6*g. What are the prime factors of g?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16332560143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12523 (base 14) to base 7\nAnswer: 244643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -89. Let d be (-7198)\/(-10) - 10\/j. What is the first derivative of 3*t**3 - d + 738 - 10*t**3 wrt t?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (1 + (0 - 0 - (-43 + (55 - 12)))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-140)\/(-63))\/10)\/((-2)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 648030285 a multiple of 4977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306357 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3*q + 480 + 449 - 967 - 4*q - 4 + 4 + (-2 + 6 - 2)*(-q - 5*q + 5*q) + (-2 - 4 + 5)*(-2*q + 2*q + q)).\nAnswer: 10*q + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1176048 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:29 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -936, -927, -914, -897, -876, -851, -822?\n\"Answer: 2*l**2 + 3*l - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715280211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 33*n + 670. Solve n*k = 14*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14801*g. Let m(y) = 8*y. Calculate r(m(o)).\nAnswer: -118408*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*q = 1305*q - 40960 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382674 is divided by 3591.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -143 + 148 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 28. Factor -12*u + 23 - 7 + 12*u**d - 12 - 4*u**3.\nAnswer: -4*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3652480 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 101*w + 1. Let i(j) = -2*j. Determine i(d(p)).\nAnswer: -202*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:53 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10185 and -2524.\nAnswer: -25706940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 25. Let j = 26 - s. Let o = -1 + j. Solve -4*m + o - 23 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3714 and 2360866.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + u - 45 = 46, -4*u - 86 = -5*h. Suppose -a - 4*g + h = 0, 5*a + 4*g - g = 90. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 - 7.8. Let k = 41\/17 + -191\/51. Which is the closest to -1\/3? (a) v (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5075809 or 5075832?\nAnswer: 5075832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 + 17*q**2\/2 + q. Let n be x(0). Suppose 2*t + n = 61. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*a + 1)*(a + 3*a - 6*a)*(-9*a - 15 + 15) - 2*a**3 - 3*a**3 + 3*a**3 + (2*a**2 - a**2 + 0*a**2)*(-4*a - 2*a + 5*a).\nAnswer: -57*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 17*r**2 + 22. Let k(a) = a - 4. Let p be k(8). Suppose 0*v = p*v - 40. Calculate the smallest common multiple of y(-17) and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 94*f + 74*f - 8442125 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -66. Let q = -3 - 0. What is the second biggest value in q, v, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -16, -2, -185?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245 - 111*h - 118*h + 234*h)*(-2*h**3 + 2*h**3 + 2*h**3).\nAnswer: 10*h**4 + 490*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4914 and 309193794.\nAnswer: 309193794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:05 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242532 is divided by 277.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 5*c - 5. Calculate q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/150 + 23*k**4\/15 + 2116*k**3\/15 + k**2 - 14*k. Suppose d(v) = 0. Calculate v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/77 (b) -4 (c) -0.09 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14407, -14433, -14477, -14539, -14619, -14717?\n\"Answer: -9*c**2 + c - 14399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:11 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234736246.\nAnswer: 2, 3847, 30509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 569675233 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/3 + o**2 + 13*o - 1294. Determine k(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -72. Let o be 4\/(-2 - n) + 0. Let x be (-3)\/6*-14*1. Is x bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 22*a**2 + 4. Let n be g(22). Let c = -1 - -4. What is the second derivative of j + 0*j - j**4 - c*j**n + 4*j wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x**2)**(-34)\/(x**(-2\/9)*x\/(x**2*x)*x**(-2)*x\/x**(2\/13)) assuming x is positive.\nAnswer: x**(10340\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Suppose 10*x - 5*x = 3*b + 1204, -a*b + 736 = 3*x. Calculate the greatest common factor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(152)*-2*-1)\/(sqrt(392) + (sqrt(392) - sqrt(392)*2) - sqrt(392)).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-35) - 1\/(-7). Solve -r = l*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 1. Let f(o) = 9*o - 1. Let n(g) = g**2 + 11*g + 17. Let z be n(-8). Let m(r) = z*i(r) - 4*f(r). Calculate m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 7*m + 4. Let k be z(6). Sort -4, k, 2 in ascending order.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 255*i + 165*i - 104*i in the form q*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = 0, 3*c + 2*c - t = -1. What is the smallest common multiple of (-56)\/21*(-2 + c) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 921.8 to the nearest 10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/8 - p**3 - p**2. Calculate the smallest common multiple of v(5) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2632 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfajjak. What is prob of picking 1 k and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.27, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131287367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 45*-4.48\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1131 + -1076. What is the highest common factor of 165 and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91\/3 or 108\/9817?\nAnswer: 108\/9817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83189 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -54. Let l = -7596.5 - -7597. Which is the biggest value? (a) l (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * -64.\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 40000 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3793670?\nAnswer: 2, 5, 97, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k**4\/7 + 4581*k**3\/7 + 357435*k**2\/7 + 1168287*k\/7 + 410418\/7 = 0 for k.\nAnswer: -151, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -12. Suppose 4 = l - 11. Suppose l = o + h*o. Solve 4*v = o - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2440*g - 6270*g - 314060 = 0 for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 216*x**2 + 2340*x - 363. Calculate w(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -10 - (23 + 1 - 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 divided by 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -364\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378177 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720)*3 + sqrt(15)\/(sqrt(3)*2)))**2.\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 3*p - 39 = 0, 484*p - 479*p = 7*y - 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(2 - 66). Let p be 2\/4 - (-575)\/2. What is the highest common divisor of c and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 + 3*z**3)*(-9*z + 7*z + 5*z).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 + 8*b + 4. Let d be -2 + (-3 - (1 + -2)). Let g be (-11 + 8)*d\/2. Let h = g - 11. Determine z(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*h = 412, -20*h = -2*k - 16*h + 238. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4946 divided by 3585?\nAnswer: -4946\/3585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 9*t + 3. Suppose -3*b + t = -b + g, 0 = 4*b - 4*g - 104. Calculate the remainder when 139 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64584.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4 - 1. Let n = -781\/39 - -256\/13. Let v = -4.1 + -0.9. Which is the closest to n? (a) x (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 5*f - 88730, -85*f + 86*f - 21124 = -5*n. Calculate the lowest common multiple of 20 and n.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 2*g + 6. Let y(q) be the second derivative of q**4\/12 - q**3\/6 - 2*q. Let t(k) = -x(k) - 2*y(k). Find the first derivative of t(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:08 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5.722.\nAnswer: 3.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312 - 629 + 317 + 11*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 18 = -746. Suppose 5*j + 5*l + q = 4*l, 4*l + 101 = -5*j. Let i = -5 - j. Calculate the least common multiple of 2 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58399163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 7. Let m(z) = 4*z**2 - 1. What is the remainder when m(1) is divided by f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4)*x*x\/(x*x**(-4)\/x)*x*x**(2\/15)*x*x\/x**1*(x\/(x*x**(-2\/7))*x)**(-4)*x**(-2)\/x**(-5) assuming x is positive.\nAnswer: x**(314\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -8e45ed?\nAnswer: -8e45ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 9*t - 4*t**2 + 2*t - 35.\nAnswer: -4*t**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(5\/6)*r*r*(r**(-4\/7)\/r)\/r*r**(-2\/41)*r*r\/(r**12\/r)*r assuming r is positive.\nAnswer: r**(-14557\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*h - 3289*h = 3410*h - 94554 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -2*l + 61. Calculate the remainder when l is divided by (0 - 143\/(-4)) + (-2)\/(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424123421 + -3?\nAnswer: -1424123424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888 and 40256.\nAnswer: 120768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:03 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834 times 63.83?\nAnswer: 180894.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.1054918 - 121264.8918082. Let v = 121205 + d. Let l = -84 - v. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(95)*-3 - sqrt(95)) + sqrt(95)))\/(sqrt(605) + -3*sqrt(605) + sqrt(5)))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.4 * 1078.\nAnswer: -14445.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1744*-6.57\nAnswer: 11458.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(270)*-1 - sqrt(270) - sqrt(270)) + sqrt(270) - sqrt(270))\/((1*sqrt(108))\/sqrt(12)))\/((3*-1*sqrt(70))\/(-3*sqrt(7)*-1 - sqrt(7))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc62c (base 13) to base 2.\nAnswer: -1010011011001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4660 (base 7) to base 8\nAnswer: -3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (0\/4 - 2). What is the common denominator of ((-4)\/(-64))\/(15\/1452) and (1 - n) + (-37)\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105208, 105086, 104830, 104398, 103748, 102838, 101626, 100070?\nAnswer: 98128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 44395978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 21 - 29 = 0. Suppose -3*s + 729 = -3*f, 0 = -10*s + q*s - 3*f + 501. What is the smallest common multiple of 20 and s?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/10727269?\nAnswer: 2\/10727269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(10 + -10 + 5). Suppose 5*n - 249 = -4*a, -2*a - n + 144 = -t*n. What is the smallest common multiple of 33 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4 = -2*r, 7*r - 10*r = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30122 is divided by 10033.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64562 - 2220?\nAnswer: 62342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - s + 6. Let v be x(0). Calculate the highest common factor of v and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 559 and -0.11915.\nAnswer: -66.60485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73\/22? (a) 4 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46080\/1280*(-5)\/15*4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 3, 2, 12, 3\/11 in ascending order.\nAnswer: 0.05, 3\/11, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2232 * 11\nAnswer: -24552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2075 and 83.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4073214 - 10895*n + 4073214 to f + o*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/y*y**(-1\/5)*(y\/y**(-6))\/(y**(-1\/12)*y) assuming y is positive.\nAnswer: y**(833\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 9. Let b(o) = 1 + 3*o**2 - 2 - 7*o**3 - 4. Let z(h) = 15*h**3 - 7*h**2 + 10. Let s(u) = g*b(u) - 3*z(u). Differentiate s(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 + 30*w**3 - 45*w**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 + 22*q**4\/3 + 97*q**3\/3 - 88*q**2 + 48*q.\nAnswer: q*(q - 1)**2*(q + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 22. Let q(j) = -j - 2. Let u(p) = c(p) + 2*q(p). Let r be u(-13). Solve 3*a - 23 = -f + 5*f, -10 = r*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - t**3 + 0 + (0*t**2 - 4*t**2 + 3*t**2)*(-15*t - 4*t + 2*t) to the form k*t**2 + o + w*t**3 + p*t and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/35*-7*92. What is the highest common factor of i and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)*d**0*(d*d*d**6)\/d*d*d*d\/(d*d**(-4\/7))*d*d)\/(((d*d**(-2\/3))\/d*d\/d**(1\/3))\/(d**(3\/4)\/d**(-1\/5))) assuming d is positive.\nAnswer: d**(5119\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let k(d) = -1055925*d**2. Give i(k(z)).\nAnswer: -2229955211250*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -50. Suppose -4*c + 64 = 4*v, 0*v - 2*v = 4*c - n. Suppose 16*x - 466 = -194. Are x and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9250.633ml to litres.\nAnswer: 9.250633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccfccfbf. Give prob of sequence fcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p - 2*k = -18, -2*p - 5*k + 13 = 0. Does 12 divide (-4)\/p + -2 - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -65. Let p(y) be the third derivative of 3\/8*y**3 + 1\/240*y**5 + x*y + 1\/16*y**4 - 3*y**2 + 0. Factor p(n).\nAnswer: (n + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 - 14*j**3 + 4*j**3 + (-2*j**2 - j**2 + 6*j**2)*(6 + 2*j - 6) in the form g*j**3 + p*j + a*j**2 + i and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 2*u**5 + 0*u**5 + (-3*u - 2*u + 3*u)*(-3*u**4 + u**4 + 4*u**4) + (-2*u**2 + 3*u**2 - 2*u**2)*(13033*u + 404*u**3 - 13033*u).\nAnswer: -407*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 300547 and -3.\nAnswer: -901641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 30. Suppose -d*a = -4*k - 36, -4 = 3*k + 3*a + 5. Let i be (k\/9)\/(2\/(-3)). Is i at most as big as 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - q = 2798, 2*q = -3*q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 11 + 179 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + -5 + -4)) + 0 + 0 + sqrt(175))**2 - (1 + (sqrt(175) - (-2*(sqrt(175) + -2) - sqrt(175))) + -3 + sqrt(175)*-2).\nAnswer: 80*sqrt(7) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 - (1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (-56 - (-114 + 52)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) 0.5 (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22968400 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**2\/2 + 7*k + 1. Let c be q(9). What are the prime factors of (-23)\/(-3) - c\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - 4*t)*(2*t**2 - t**2 + t**2) + (-10*t**3 - 6*t**3 + 3*t**3)*(-1 + 1 - 1).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060 a factor of 742850420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 370414000 to the nearest 1000000.\nAnswer: 370000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/28*14\/8 + (-1)\/(-2). Solve -43 = y*z - 40 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 66. Let h = r - 13. Suppose -5 = 2*t - 3*t - y, t - y - h = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 + 43831*u**2\/6 - 153430*u\/3 + 43838.\nAnswer: (u - 6)*(u - 1)*(u + 43838)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48677081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.4657ml?\nAnswer: 0.0844657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/802890 and 15\/11.\nAnswer: 802890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**3 + 84*r**2 - 77. What is u(-7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {c: 2, h: 1, w: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27090, 26920, 26644, 26268, 25798?\n\"Answer: o**3 - 59*o**2 + 27148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 2. Let j be p(-9). What is the third derivative of -17*m - 2*m**3 + 17*m + 9*m**j wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*c = 259*c + f - 89, 2*c - 28 = -4*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + l + 26 = 0, 11 = 5*r + l - 17 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169 - 1)*(-533 - -532)*10\/(-25)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let q(z) be the second derivative of -2*z**4\/3 - 16*z. Give q(h(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert e9 (base 16) to base 6.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 g when four letters picked without replacement from cgyygyggcgcc.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12033 + -14?\nAnswer: 12014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -t + 9, t + 4*q - 8 = q. Suppose 11*m = 19*m - 616. Calculate the greatest common divisor of t and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98 - -495?\nAnswer: 494.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {c: 2, l: 7, i: 1, n: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152 divided by -71450?\nAnswer: 1576\/35725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2014928 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -112. Let m = -1.1 - -5.1. Let x = m + v. What is the second smallest value in 3, 4, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from bbbxbxbxxcdxcbbpdb.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3354 + 151453?\nAnswer: 155251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/1428)\/((2\/(-20))\/(-1))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, z: 1}. What is prob of sequence gw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*m + 1008 = 0. Find n such that -25 + 19*n - n**2 - m + 7*n = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {u: 5, h: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/6, -10 in ascending order.\nAnswer: -10, -2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Let d be g*(12\/(-9) + 2). Let x = -729 + 731. Solve 0*t + 14 = -x*p + d*t, -3*t = -3*p - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 8 - 5*c**4 - 625*c**3 - 3*c**2 + 619*c**3 - 6 to t*c + d*c**3 + b + u*c**2 + i*c**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1335\/76 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*s + 3*c, -320*c - 21 + 7 = -3*s + 5*s - 316*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0227 - -0.0427. What is the smallest value in 2, p, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 394216 - 394210 + 13*a**3.\nAnswer: 2*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, n: 3}. Give prob of picking 2 n and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12165038 + 38495038. What is n rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 - 1.546487767.\nAnswer: -54.546487767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4517, -9122, -13727, -18332, -22937, -27542?\n\"Answer: -4605*i + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21\/5, 2\/7 in decreasing order.\nAnswer: 21\/5, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-136 - -69) + 3 + 17 + -8 + 4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2\/7 - 95925*q\/7 - 3649482\/7 = 0.\nAnswer: -38, 32013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000111010 (base 2) to base 8.\nAnswer: -15072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7650 - 315327?\nAnswer: -325177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -14. Solve z = 4*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12050 + 12049. Let n(k) = -39*k**2 - 2*k - 5. Let r(b) = b + 1. Calculate t*n(q) - 4*r(q).\nAnswer: 39*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*i - 22, -z + 0*z + 7 = -2*i. Is 2\/283 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1053320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -23. Let l(z) = 0 - 6*z - 7*z**2 - z**3 - 5 + u*z. List the prime factors of l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*u + 356*u = 167*u + 209 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 47\/4*t**4 + 0*t**3 - 8 + 0*t**2 + 45*t. Find the first derivative of r(l) wrt l.\nAnswer: 141*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 9 - 6) + (1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = 4*x + 2, -15 = -3*i. Solve x = -5*l + 1 + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 74197457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a2e + -4?\nAnswer: 13a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 3*z + 50. What is the least common multiple of x(5) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 912*b + 94364. Give r(-793).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbjbhbubuomu. Give prob of sequence ohjb.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjpjffjqjp. What is prob of picking 1 j, 1 f, and 2 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 527?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - h - 16*h)*(0 + 10*h + 0) - 2*h**2 - h**2 + h**2 to t + r*h**2 + b*h and give r.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*g - 4 + 14 = 0, -2*g + 16 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 957179654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11198*o**2 + 11211*o**2 - 22416*o**2 + 2 + 3.\nAnswer: -7*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 393 - 390.53. What is the closest to t in -2, 0.2, 0.1, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2462, -2460, -2458?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6885\/14 + -492. Let c(q) = -2*q - 2. Let b be c(-2). What is the nearest to 0 in -1\/4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019582?\nAnswer: 2, 29, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*s - 13 + 105, 4*s + 4*u - 188 = 0. What is the greatest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwwvvwvvwbvb. What is prob of picking 2 v?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 825332848*s\/3 + 85146788748473888\/3.\nAnswer: 2*(s - 206333212)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + 8\/2)\/((-36)\/(-711))*98?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250444 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0267 + -0.0266763. Round l to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n**2 - 2)*(2 - 3 + 3)*(-2 - 2 - 5)*(6 + 4 - 13).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 203\/35 + (-4)\/5. Suppose 2*j = -m*g + 5 + 1, -g = -4*j + 34. Solve -j*o + 16 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760000 rounded to the nearest one hundred thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 505510.4 litres?\nAnswer: 505510400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 2. Let o = 31 + -27. Suppose -5*i + o*r - 85 = 3*r, -5*r = -5*i - 105. Let y(v) = -6*v - 6. Determine i*j(p) + 5*y(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 6*d - 503. What is h(28)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*b - b - 3928, 4*b + 2*x = 3134. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/85008 and -133\/24288.\nAnswer: 170016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.3987 decades?\nAnswer: 4247.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -45, 2, -5, 1613 in descending order.\nAnswer: 1613, 4, 2, 0, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2. Suppose -185*p = -180*p + 25. Let x(o) = 22*o**2. Let r(f) = p*x(f) + 14*m(f). Let b(d) = 8*d. Determine r(b(t)).\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 3*w. Let i(s) = s**2 + s - 1. Suppose 7*x - u + 9 = 0, -4*x + 9 = 4*u + 5. Give x*q(d) - i(d).\nAnswer: -3*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 16. Let j(n) = -n**3 - 5*n**2 + 1. Let x be j(-5). Calculate the highest common divisor of q and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3655\/610)*248 - 2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h - 7*h**2 + 36*h - h**3 - 13*h + 3 + 6. Determine a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 16*b - 7. Let l be h(7). Let c = l + -48. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z + 18*z + 19*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(((-1506)\/210840)\/((175\/(-20))\/5))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -35, 13595, -2\/5, -0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 416848916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 13) in base 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 77708592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460*l**3 - 2*l**2 - 28*l**3 + 117*l**3 - 23395*l + 23395*l + 2 + 2*l**4 to g*l**3 + j*l**2 + h*l + i*l**4 + b and give g.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y + 64*y = 12. Suppose -652 = -6*k + y*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40115224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1022 and 3122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngnigin. What is prob of picking 1 n and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.014 and 0.85.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {l: 1, r: 8, k: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2407 equal to 0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 9*s - 2. Let i be y(7). Let h be (i\/(-10))\/((-4)\/10). Solve -h*u + 5*f - 4*f + 16 = 0, 0 = 4*f + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 0, -0.4, -118.642, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + 159\/7. Let f be 582 + -21*3\/9. What is the highest common factor of f and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54808, -109520, -164232, -218944, -273656?\nAnswer: -328368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -112. Let n = 188 + -183. Put o, n, 2 in descending order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16600124*c**3 - 4128080*c**2.\nAnswer: 99600744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 4*j - j. Let o(q) = -5*q**2 - 3*q + 3. Let a(m) = -7*m**2 - 4*m + 4. Let f(z) = 3*a(z) - 4*o(z). What is s(f(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1903648 and 90592.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 + 2*l**3 + (661*l + 3270 - 3270)*(-2*l + 3*l - 3*l)*(l - 2*l + 0*l).\nAnswer: 1325*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 8. Let n be a(6). Let y = -11 + n. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 173233?\nAnswer: -3\/173233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 4.29848. Round k to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1106 = 38*p - 41*p, -4*p + 1480 = 4*i. Let z = -376 + p. Let c(h) = -h**3 - 7*h**2 + 3*h + 8. Give c(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 2 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lihlrkl. Give prob of sequence il.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-14)\/3)\/((-68)\/(-102)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32910279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/23 (b) 3\/11 (c) 4357 (d) 5 (e) -2 (f) -0.2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okokokokkkkko. Give prob of picking 3 k.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-174)\/(-204))\/29\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 3*v. Determine f so that 0 - 1\/4*f**2 + 0*f**3 + 1\/4*f**4 + v*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8.93. Put -3, 2, f, -0.5 in ascending order.\nAnswer: -3, -0.5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.3 (c) 110238194 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + -11 - 4\/72*-86?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 53244044592*x**3 - x**2 + 53244044584*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - (-804)\/8*(-68)\/2856\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-14)\/(-168)). Let k be (-7)\/(-2) + (-3)\/m. Suppose -w + 4*q = -9, w + 6 = -4*q - 9. Sort -2, k, w in increasing order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 12*f**4 + 1 + 13*f**4 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -34. Suppose 0 = -l*h - 100 + 1873. Let u = h - 106. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 + 4*b + 1. Let j be r(-5). Suppose 3*c + k = -0*k + j, 5*c + 4*k - 3 = 0. What is the closest to c in 0.3, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(7\/(-2) - -1). Suppose 0 = m*f - 298 + 88. Suppose -3*b - 14 = -2*d - 48, -4*b + f = -2*d. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:27 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -450, -673, -898, -1125?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (5 - 5 - 9)) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34705125187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71249, -71244, -71239, -71234?\nAnswer: -71229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7764*w + 116449. Determine n(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-8)\/24)\/(8 + 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358.222 - -358.352. Let n = -7\/5 + 16\/15. Which is the fourth smallest value? (a) 0.1 (b) n (c) j (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10804882 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039154869 rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4 = -3*f, -7*f - 2*v = -9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 65*x + 12. Let j be z(-7). Which is greater: j or -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 10*i + 12.\nAnswer: 2*(i - 3)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -21 + 6 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**3 + 0 - 1\/12*g**4 + 0*g**2 + 22*g. Let f(w) = w**3 + 6*w**2. What is -f(x) - 6*k(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 3006 = 20*l. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -270c8?\nAnswer: -270cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -120 + 28 - ((3 - 12 - 4) + 3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 3, 1, -2, 5.\nAnswer: -62, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*g + 5 = 0, 13 = r + 4*g - 13. Let q(p) = p**3 - 7*p**2 + 13*p. Let d be q(6). Calculate the highest common divisor of r and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*k + 97*k = 67*k - 3906 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 3*c + 5*c + 4*c - 2*c + (-1 - 1 + 4)*(3*c + 2*c - 3*c) + 0*c - c + 2*c)*(-3*c**2 - 2 + 2).\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1131621988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2315, 1, 0.\nAnswer: -22, 0, 1, 2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2. Let h(p) = -818815*p**2. Determine r(h(l)).\nAnswer: -2681832016900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -15 - -2 - (-165 + 105) - (-11 - 3)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/132 - 1\/(-4). Let d = 52 + -51. What is the nearest to d in -3\/4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-83819)\/(8 - 1707\/213). Let t = y - -2608851. What is t rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*q**2 - 98*q**2 - 40526*q**3 + 32064*q**3.\nAnswer: -8462*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -7579.\nAnswer: -7573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 4*i**3 + 5*i**2 - 10*i - 2. Let f be w(-11). Is 0\/(-4) - f - -392 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-39)\/d)\/d**(-3\/2) assuming d is positive.\nAnswer: d**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/j**(-6)*(j\/(j*j**(-1\/6)))**(-2\/117) assuming j is positive.\nAnswer: j**(2807\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2 + 0)*-11. Let g = 14 + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8726 = 4*d + 2*c, 0 = 11*d - 14*d - 5*c + 6562. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**4 - 76*j**3 + 400*j**2 - 432*j = 0 for j.\nAnswer: -27\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4 + 1. Let u be (-3)\/(-9)*v + 17 + -4. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -13317735?\nAnswer: 13317772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:59 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12640 - -61246?\nAnswer: 104216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((2 - -3) + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0806 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*y**3 + 182*y**3 + 3 - 3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 84 = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 120*h**2 - 3354*h + 11393. Give c(-69).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6728778*v**2 + 16151532*v wrt v?\nAnswer: -13457556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 + 89*m**4\/12 + 181*m**2\/2 - 160*m. What is the derivative of b(k) wrt k?\nAnswer: -3*k**2 + 178*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140079 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*-2*(-3)\/10. Let b = s - 3. Suppose b*h = 10*h - 735. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)\/i)\/i**(1\/7)*(i\/i**(-3)*i)\/(((i\/(i**(-3)\/i))\/i)\/i) assuming i is positive.\nAnswer: i**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + (sqrt(19) - sqrt(684))) + sqrt(95)\/sqrt(5) + 2 + sqrt(2299)*1*3*-3.\nAnswer: -82*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:16 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18860*g + 18860*g - 18 - 13*g**3)*(0*g**2 - 3*g**2 + 2*g**2).\nAnswer: 13*g**5 + 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - -185. Let a(y) = -y. Let r(x) = -11*x + 2. Give w*r(m) - 6*a(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**3 - 4*a**2 - 12*a - 13. Let g(s) = 5*s**3 - 3*s**2 - 12*s - 14. Let c(w) = 5*g(w) - 6*o(w). Calculate c(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 31*n**2 - 16*n - 7. Suppose z + 3 = -12. Let q be y(z). Solve 3*a = -a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 290?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -3, 1, -4 in increasing order.\nAnswer: -4, -3, 1, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41055, -40779, -40019, -38529, -36063, -32375, -27219, -20349?\n\"Answer: 41*l**3 - 4*l**2 + l - 41093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 8, -2735, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 158.4328.\nAnswer: 165.4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-2 + -16). Let u be (-2)\/6*0\/s. Solve -2*l - 2 = -u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.31 + -54.7. What is y rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o - 1 + o)*(4 - 2 + 1)*(2*o + 0*o + 0*o) to v + k*o + c*o**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71b22 (base 16) to base 13.\nAnswer: 133c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:51 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3846 = -34*t - 4526. Which is the closest to -17? (a) -4 (b) -5 (c) t (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(0 + ((sqrt(1088)*-2*5 - (sqrt(1088) + 0 + 1 - sqrt(1088))) + -4)*-5)**2.\nAnswer: -16323753 - 120000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 3*i**2 + 2*i + i + 3 + i**3 + 0*i. Let m be x(2). Put 0, -4, m in descending order.\nAnswer: m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6371, -3882, 275, 6106, 13617, 22814?\nAnswer: 33703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.1777 rounded to the nearest integer?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -719 in decreasing order.\nAnswer: -3, -13, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Let v be q(-4). Let j(m) = -3*m + 3. What is j(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4725, 4781, 4837, 4893?\n\"Answer: 56*o + 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4885.04 and 0.02?\nAnswer: 4885.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:04 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.40938 milligrams?\nAnswer: 0.00440938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i - 26 = 0, -v + 7 + 20 = -5*i. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 15*i = 5*p + 2, 0 = -p - 4*i + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 2*o)*(-88223*o + 88223*o + 521*o**4) - o**5 - 3*o**5 + 2*o**5.\nAnswer: 2082*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.12. Let x = -0.09999954 - p. Round x to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:05 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 68*d**2 + 69*d**2 - 135*d**2. Let g(j) be the first derivative of 89*j**3\/3 + 19. What is g(n(x))?\nAnswer: 356*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4942\/4 - (-2 - (-98)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 5*n + 5, -259*n + 9 = -11*y - 258*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 + m**2)*(13*m + 93 - 10*m - 244).\nAnswer: 6*m**3 - 302*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from blllblbllllbllblblb?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 16) in base 9?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 44. Suppose -u = -2*l + 298. What is the remainder when l is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 274*l + 8. Let j be b(-2). Let g = 1743 + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 313 and 1.40945?\nAnswer: 441.15785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32003132 (base 4) in base 3?\nAnswer: -2220222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4\/3 + 52*i**3 + 1264*i**2\/3 + 368*i = 0?\nAnswer: -6, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 2}. Give prob of sequence clc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - -3d?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2 + 2 + 2 - 13*z + 10 - z**2 + z. Calculate the smallest common multiple of j(-11) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**4 + 0*c**4 - 6*c**4 + 7*c**4 - 7*c**4 + (2*c + 0*c + 0*c)*(-c**3 - c**3 + c**3).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 14 = -8*w. Let a = w - 12. Let v(j) be the first derivative of -2*j**2 + 2*j + 1. Give v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 4*j + 5*l, 2*j - 2*l + 6*l = 240. Suppose 6*m - 3*m + 3 = 0, -5*n = 3*m + j. Let z = 1 - 26. Is n at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*j*r + 1478*r with respect to j.\nAnswer: -53*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u = -3*u + 350 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 751329862 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**5\/7 + 207*a**4\/7 - 438*a**3\/7.\nAnswer: 3*a**3*(a - 2)*(2*a + 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*w + 7*j**2*w - 7*j*w - 5*w + 11 with respect to j.\nAnswer: -3*j**2*w + 14*j*w - 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -106*q - 1. Let g(i) = 21*i. What is -11*g(u) - 2*n(u)?\nAnswer: -19*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-6 - 26\/(-5))*5\/2). Which is the closest to 1? (a) -5558 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 489082 and 54802?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -607.1797.\nAnswer: -1821.5391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:25 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 15. Let h be m(6). What is the least common multiple of 12 and (-2)\/(h + 28\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/5, -5, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*j + 2*u, -5*j + 6*u - 21 = 2*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 56*z**2 + 9*z + 24. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 333? (a) 1\/4 (b) -5 (c) 316 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11537153 or -1?\nAnswer: -6\/11537153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 4344?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 566772 and 566620 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 4. Suppose -2*o + s - 25 = 2*o, 2*o + 2*s = -10. Let p be b(o). Suppose g - 2*g + p = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2707\/88 + 447\/11. Suppose 22*f = 32 - 98. Find the common denominator of f and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:01 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2 - 196*c + 1351. Determine y(6).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5107.7 + 5109. What is the closest to k in -2\/11, 2, -2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 + 11*v**3\/2 + 9*v**2 - 22*v - 40 = 0.\nAnswer: -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/60 - 7*k**4\/24 + k**3\/2 - k**2\/2 + 9*k. Let d(g) be the first derivative of o(g). Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 1. Let s be d(-2). Let m(y) = -y**3 - 2*y**2 + 4*y + 1. Let g be m(s). Let h(a) = -6*a - 2. Is h(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*u**3)*(2 + 2 + 1 + u).\nAnswer: 4*u**4 + 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -51873, 20 in decreasing order.\nAnswer: 20, 1, 0, -51873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*k = -42. Let r(s) = -s**3 - 8*s**2 + 2*s - 7. Let u be r(k). Let i be u\/(-7)*3\/5. Let x(v) = v**3 - 6*v**2 + v. Give x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3655 + -54823\/15. Let m(w) be the first derivative of 7\/30*w**4 + 0*w + 9 + 1\/45*w**6 + 0*w**2 - g*w**5 - 2\/15*w**3. Factor m(a).\nAnswer: 2*a**2*(a - 3)*(a - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 + -51. Suppose -17*k = -24*k + s. What is the remainder when 53 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32786.409 to the nearest ten.\nAnswer: -32790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -452\/3 in 1\/7, -2\/11, -0.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmep?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u**2 - 6*u**2 - 7*u**2)*(5 - 5 - 1) to k + a*u + q*u**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.025512 rounded to 1 dp?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31920 divided by -95?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1476, -5, -656 in descending order.\nAnswer: 1476, 2, 0, -5, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.81 and 5.5.\nAnswer: 10.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 2\/7, -1, 0.23, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfpgyffpypgkf. Give prob of picking 1 g and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 4493910*l - 4493915.\nAnswer: 5*(l - 898783)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -5352\/2111?\nAnswer: -5352\/2111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {d: 8, x: 3, i: 2, e: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 0.2281 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*54\/189*(-348709)\/(-2) 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 7:31 PM and 9:48 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - c - 5*c. Let p(q) = 4*q - 31. Let w be p(11). Let z(f) = w*f + 7*f - 7*f. Determine d(z(n)).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**2\/2 - 2*i + 5. Let b be -5*(-1 - (3 + -3)). Suppose p + 10 = -b*w, 3*p - 8 = w + 3*w. Give k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(80) + sqrt(80)) - (6*sqrt(60)\/sqrt(2))\/sqrt(6))**2*1*3.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/4)\/(64\/(-4480)*-105))\/(8\/(-2))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -20128.\nAnswer: 1\/10064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3 - 7*c**2 - 184672*c + 3979448?\nAnswer: 3*c**2 - 14*c - 184672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 13)*(-9)\/(-27)*51. Let o = i + -245. What is the highest common divisor of 320 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*v**3\/9 + 29784286*v**2\/9 - 8509790*v\/9 + 67538 = 0. Calculate v.\nAnswer: 1\/7, 303921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i + 5. Solve -j - 2 + i = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 7, v: 6}. What is prob of picking 1 e and 3 l?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1208*f + 4907*f - 1898*f)*(-2*f - 3 + 2 - 4).\nAnswer: -8434*f**2 - 21085*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39757*2.301.\nAnswer: -91480.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 25, 36, 63, 112, 189, 300, 451?\n\"Answer: k**3 - k**2 - 3*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -37*f**2. Let p(v) = 4*v - 3. Let i(h) = h - 1. Let m(w) = 3*i(w) - p(w). Determine m(g(r)).\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2295*s. Let o(l) be the first derivative of -l**2 + 1339. Give o(z(u)).\nAnswer: 4590*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 8*w - 21. Let v be y(9). Let b be 6\/18*(0 + v). Let x be ((-16)\/5)\/(b\/10). What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 5*j**3 + j**2 - 5*j**2 - 2*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4329525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + y**5 + 4 + (-2*y**4 + 3*y**4 + y**4)*(y - 14 + 14) + y**5 + 5*y**2 - 5*y**2.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 2*m + 2. Let o(l) = -l**2 + l - 1. Let s = 1 + -2. Let h(p) = s*d(p) - 2*o(p). Let g(z) = 46 - 46 + z. Give h(g(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5357857 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 62938 + 12811. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 171, 295, 475, 711, 1003, 1351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-60)\/14)\/(15\/(-210))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 144279000*g**3 + 1040821636328990*g**2 - 2081642839821000*g + 1040821347771005.\nAnswer: 5*(g - 14427899)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(475) - 1*sqrt(475)))*5 + 1)*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**3 + i**2 + 2*i - 1. Suppose 4 + 0 = 2*b. Suppose 2*c + 18 = 5*m, 3 + 9 = -b*m - 4*c. Is z(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 g when three letters picked without replacement from {x: 6, t: 1, g: 1, f: 3, m: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 719 (b) -2 (c) 11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54161 + 18983 = 4*q + 7*a, 12 = 3*a. List the prime factors of q.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259487 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 3, z: 1, x: 1, t: 1}. Give prob of picking 1 t and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 113*k**3 - 160*k**3 + 3*k**4 + 0*k**4 - k**4 - 2*k - 89*k**2 + 92*k**2 as r*k + s*k**2 + l + p*k**3 + f*k**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1653, -1887, -2225, -2625, -3045, -3443?\n\"Answer: 7*m**3 - 94*m**2 - m - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18769 by 6361.\nAnswer: 18769\/6361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15822 + 15618 + 44*c - 69*c + 37*c.\nAnswer: 12*c - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, 0.128, 71?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20099 + -20098. What is the smallest value in -331, -2\/7, i?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97\/7 + 4\/7*d**2 - 389\/7*d = 0. What is d?\nAnswer: 1\/4, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - (-71)\/(-6) - -4. Let t(h) be the first derivative of 1\/3*h**2 + 2\/3*h - 2\/9*h**3 - r*h**4 + 1. Determine x so that t(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4516 is divided by 1125.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/3 + -5*12\/90. Let d = 13 - g. Solve 0 = -5*f - 25, -d*f - 20 = -2*v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(1\/4)))\/(j\/(j\/((j**(-3\/2)\/j*j)\/j*j)))*j**(-23))\/(j\/(j*((j*j**(3\/8)\/j)\/j)\/j*j)*j*j\/j**(-2\/11)*j)**(-2\/17) assuming j is positive.\nAnswer: j**(-3890\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 738548?\nAnswer: 7\/738548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/4200 + n**6\/900 + n**5\/600 - n**4\/60 + n**3\/6 + 7*n. Let g(x) be the second derivative of q(x). Factor g(l).\nAnswer: -(l - 2)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.2 + 24. Sort 0.1, o, -5 in increasing order.\nAnswer: -5, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - 3*a**2 + 2*a**2)*(36 - 4 + 1) to the form g + z*a + r*a**2 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 827370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 173*j. Let u(l) = -5*l. What is u(w(c))?\nAnswer: -865*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.11, 2\/29, -5, -3\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 35 = -h. Let j = -27 + h. Which is the second biggest value? (a) j (b) 11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -14 (b) -320 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = 2*u, 10*u - 2*b = 6*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -354634332 divided by 1794\nAnswer: -197678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52661 + i**2 - 26*i + 10*i + 16*i.\nAnswer: i**2 - 52661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1695477100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000)\/sqrt(2) + (sqrt(20) - sqrt(320))*-4)\/(6*(6*1*sqrt(196) - sqrt(196))))**2.\nAnswer: 289\/8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8331?\nAnswer: 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (275\/(-715))\/(20\/(-65)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1688882 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -433319*i - 738. Is k(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.6. Let d = 0.27 + -1.27. Which is the second smallest value? (a) 1\/7 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 10*g**2 + 4. Let n be r(-10). Suppose 0 = -3*j + 7 - n. Solve -8 = 3*m + j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 9*t + 1. Let i be l(-2). Let b(g) be the second derivative of -1\/2*g**4 + 0*g**2 + 0*g**3 + i*g + 0. Let p(q) = -7*q. Calculate p(b(w)).\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 7\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 55 + 15 = 0. Solve y + 0*g + p*g - 4 = 0, 0 = -4*y + 2*g + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5*(sqrt(77)*-2 - sqrt(77)) - sqrt(77))*-3)\/(-6*sqrt(1100)*-1).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 13*o + 4. Let z be i(-13). Suppose 0 = -s - 3*s + z*p + 8, 5*p = s + 18. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 22*h**3 + h - 1. What is the units digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*t - 5*x, -15*x + 20*x - 21 = -4*t. Let d(q) = 2*q**2 + q + 1. Let o(p) = -9*p**2 - 10*p - 5. Let a(b) = t*o(b) - 5*d(b). Determine a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -618\/5, 5, -89, 0.7, 17?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**5 - 13\/14*g**7 + 45*g + 0*g**6 + 0 + 23\/6*g**3 + 0*g**2 + 0*g**4. What is the second derivative of c(a) wrt a?\nAnswer: -780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a - 5. Suppose -a = g - 0. Is -0.05 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3539 = 3*p - 8163 - 18710. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98826, -199982, -301138?\n\"Answer: -101156*g + 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -461 - -460. What is the closest to 1\/3 in 0.2, -1\/2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -3 - (-94 + 111 + -28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32867930 divided by 2.\nAnswer: 16433965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468585*b - 173489*b - 36821*b.\nAnswer: -678895*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m + 278*m = -399*m - 91*m + 55088 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.5 (c) 2 (d) -6 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3\/3 - 308*o**2\/3 + 628*o\/3 - 316\/3 = 0.\nAnswer: -79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -18053*h - 1. Let z(y) = 2*y**2. Calculate p(z(o)).\nAnswer: -36106*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79341 greater than or equal to 79351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -104012.9 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13907195*g - 9408369?\nAnswer: 13907195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1321.99989826 + 1322. What is p rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*67*((130\/(-13))\/(-10))\/(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199874813*c + 206162662 wrt c?\nAnswer: -199874813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-2 + 2 - 2)*(x - 4*x + 13*x)*(2*x + 4*x - 4*x)*(-4 + 5*x + 4).\nAnswer: -800*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, -0.15, -1, 3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -50. Suppose 4*n - k = -26. Let z(x) = 4*x**3 - 10*x**2 - 5*x - 1. Let t(r) = 5*r**3 - 11*r**2 - 5*r. Let h(b) = 5*t(b) - 6*z(b). Give h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:34 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 0. Let t(b) = -b**2 - 7*b - 1. Suppose 2*r - 3*r = p + 5, 2*p = -r - 11. Let n be t(p). Solve -2*c = -2*f + 6, 0*c = 2*c + n*f + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*c**3 + 2*c**2 - 383*c?\nAnswer: -798*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 762.2265l?\nAnswer: 762226.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 419*d**2 - 24*d. Let l(q) = -419*q**2 + 16*q. Give 3*l(s) + 2*x(s).\nAnswer: -419*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 822 + 847 - 1669 + 7899*v to the form h + z*v and give z.\nAnswer: 7899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3107\/990 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 4*u = -50, 2*u = -2*o + 20. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -8. Let v = 20 - 19.9. Is v equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0317673 and -0.3.\nAnswer: -0.3317673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -33. Let t(d) = 6*d**2 - 3*d + 2. Let q(k) = -k**2 + k. What is w*q(b) + t(b)?\nAnswer: 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 12*c**2 + 3*c + 37. Does 47 divide p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o + 6. Let x be b(-4). Let t(k) = -k**3 - 10*k**2 - 2*k - 11. Let a be t(x). Solve -3*r - a = -6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2686*v - 2733*v + 5331*v)*(1 + 0 + 0) to d + k*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let a(l) be the first derivative of -20*l**3\/3 - 3*l**2\/2 - 22. Let f(k) = 100*k**2 + 14*k. Let z(y) = 28*a(y) + 6*f(y). Determine x(z(t)).\nAnswer: -3200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r - 35. Let o be b(-5). Let u(t) = 4*t - 6. Calculate u(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273393055 to the power of 1\/2, to the nearest integer?\nAnswer: 16535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1603222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.3 - 24. Let v = -6.7 - r. Let q = -8 + 13. Which is the closest to 2\/5? (a) q (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 1. Let s(t) = t**4 + 115*t**3 - 9*t**2 - 125*t + 5. Let b(o) = 5*i(o) - s(o). What is the third derivative of b(p) wrt p?\nAnswer: -24*p - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4. Let d be 2\/(-4) - (-2)\/(-4). Let s(m) = -6*m**2 - 19 - 6 - 11*m + 7*m**2 - 5. Let o be s(13). Let f(h) = -1. Give d*v(u) + o*f(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(122843\/157941)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*s = 36 - 21, 7*n + 3*s + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3)*690\/(-20))\/1. What is the highest common divisor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1152)\/1584 - 96\/(-11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.819 - 196.879. What is n rounded to zero decimal places?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926658583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:21 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 603, 1405, 2539, 4011, 5827, 7993?\nAnswer: 10515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 2*o - 1. Let w(n) = -5*n**2 + 5*n + 3. Let x(u) = -7*g(u) - 3*w(u). Let m = -5 - -1. Is x(m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + 21.36. Let v = 21.72 - a. What is v rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886876 is divided by 63340.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2487)\/(-18) + (-5)\/30)\/(-1). Which is greater: -137 or r?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -98 - 126 + 12 - 48*y. What is the units digit of o(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233 and 46833.\nAnswer: 46833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let j = c + 0. Suppose 2*v - 7 = -v - 2*g, -j*v + 9 = -3*g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85412566 and -3.4?\nAnswer: 85412562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 8*d + 7. Let n be o(-8). Let i(k) = -4 + 51*k + 2 - 5*k**2 - 1 + 2 - 14*k**3 - 47*k. Let x be i(n). What is x rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 31\/176603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -96*r - 116. Let d(u) = -32*u - 39. Let z(v) = 7*d(v) - 2*y(v). What are the prime factors of z(-10)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295138544 divided by 4804.\nAnswer: 61436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c = -49*c + 34. Suppose 10 = v + 4. Let z(r) = 11*r**2 - 17*r - 17. Let m(a) = 4*a**2 - 6*a - 6. What is c*m(w) + v*z(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12072 and -71\/4578.\nAnswer: 9210936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:44 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5*i + 4. Let k be r(4). Let w = -23 + k. Let y = 23 + w. Solve -y + 3 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 4*m**3 + 0*m**3 + 2*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n. Suppose 3*q - 4*v - 9 - 19 = 0, n = q - 2*v - 12. Suppose -q*a + 36 = -24. What is the remainder when 43 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228*t + 50860 - 50860)*(5*t - 5*t + 2*t**4).\nAnswer: 456*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {g: 2, w: 1, n: 3, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -19*f - 6. Is m(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, g: 3}. Give prob of sequence rv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 555693.8cm in nanometers?\nAnswer: 5556938000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429679.\nAnswer: 429679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19\/d*d*d)**13*(d**13*d)**0 assuming d is positive.\nAnswer: d**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -372 + 372.578. Let w = -0.478 + q. What is the second smallest value in w, -7, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + 3. What is the second derivative of -56*k + s*k + 28*k + 14*k**5 wrt k?\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(2736) + 1 + sqrt(2736)) + -4)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -38. Let k = -31\/133 + -1\/19. Suppose 0 = 2*n - n + 1. What is the closest to n in t, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1891260 divided by -4?\nAnswer: 472815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (-36 - -12) + 49 + 19?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 39. Suppose 0*g + 69 = k*y + g, y + 5*g = 33. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2104 = -4*x, 0 = 5*x - 4*w + 2*w - 2665. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1701, 3412, 5123, 6834?\nAnswer: 8545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040053.132 rounded to the nearest ten thousand?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*i - 33, i = -d + 5*d + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:05 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7076448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 + 4\/(-5). Let t = y - -1. Differentiate -s + t*s + 0*s - 3 with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -24 - (-12 + 25 + -26 - -2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -390888?\nAnswer: 1\/130296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27337226 and 8818460.\nAnswer: 273372260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379890\/17 - 9441541\/425. Let p be (-10629)\/81 + (-2)\/(-9). Let o = q + p. Calculate the common denominator of o and -56\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 15 = 2*z + 21*n, 0 = -4*z - n - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -176 (b) -1 (c) -19.29 (d) 1 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8546.70112 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zso when three letters picked without replacement from joppssz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -338, -482, -602, -692, -746?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 7*t**2 + t - 5. Let j be c(7). Let k = -8 - -13. Suppose k*f = -y + 1, 4*y + 21 = 6*f - f. Solve -r = -j - f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27314 - 27314.4. Which is the nearest to s? (a) 2 (b) 32 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*b - 29*b - 432 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*g + 13, -3*g + 8 = -24*j + 28*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/13 + 8*p**3\/13 - 6*p**2\/13 - 36*p\/13.\nAnswer: 2*p*(p - 2)*(p + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266 + -257 + -4 + -2 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1660 - -1666. What is the biggest value in 1.1, v, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6666375.\nAnswer: 3, 5, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -65258.\nAnswer: -13051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 17\/3*r**3 + 0 + 0*r**4 - 1\/10*r**5 - 5*r + 33\/2*r**2. Let g(o) be the first derivative of q(o). Differentiate g(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a9b0 (base 12) to base 6\nAnswer: -1422340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115413\/56 - 2061. Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let n = -368 - -111. Let a = n + 261. Solve -p*q = a, 3*g - 8 = -q - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 6 = 20*i. Suppose -2 - 16 = -3*s. Solve 0 = s*f - i*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2867? (a) -0.5 (b) 1\/3 (c) -0.3 (d) 12 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 take away -0.1115?\nAnswer: -155.8885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 23. Let i be v(7). Let x be (i\/(-10))\/(2\/10). What is the least common multiple of 16 and x\/(-24) - 98\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - ((-4)\/(-14) + 15\/21). Suppose -q*f = -8*f - 6. Let a(m) = m**3 + m**2 - 2*m - 3. Determine a(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 51*l - 90. Is 18 a factor of f(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-18) + (-4)\/(-6). Suppose -3*o - 17 = -j*y, 4*y - 24 = 2*o - 6*o. Suppose -72 = -5*n - 2*i, 0 = 7*n - 2*n - y*i - 65. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28*1)\/((-50)\/10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 9*r**3 + 0*r**3 - 8*r**3 + 104 + 3*r**2 to the form l + d*r**3 + y*r + j*r**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from snuusss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlajjdf. Give prob of picking 1 l, 1 d, 1 f, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-27))\/((-3)\/45) + (-903)\/(-172).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -30, 8, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -166, -336, -574, -880, -1254, -1696?\n\"Answer: -34*p**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d + 1. Let a be (-20)\/6*6\/(-4). Let m(c) = -c. Let s(u) = a*m(u) + v(u). Give s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 18 + 39. What is the remainder when ((-17)\/2)\/(2\/(-12)) is divided by (y\/(-1)*1)\/((-7)\/63)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98334 and 407268.\nAnswer: 247211676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(19\/3))**1*(s**4*s*s**(2\/3)*s)**30 assuming s is positive.\nAnswer: s**(562\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 57271*y**2. Let v(m) = 3*m. Determine v(b(a)).\nAnswer: 171813*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let o = -62 + 64. Solve o*t = x*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let l(h) = h**3 + 5*h**2 - 6*h + 4. Let j be l(-6). Let o = -2969 + 2989. Let k(x) = -j*x + 6*x + o*x. Determine k(y(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-112)*(3\/9)\/((-58)\/(-16))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678080087 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 31*o - 77. Does 19 divide p(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4315 is divided by 568.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -13, -27, -43, -61?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*y + 275*y + 3852 = -146*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**6*m**(-2\/9))**(-1\/7) assuming m is positive.\nAnswer: m**(47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x + 11. Let d(l) = 9*l - 10. What is -6*d(y) - 5*h(y)?\nAnswer: y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m - 34. Suppose 39*n - 37*n - 12 = 0. Let s be b(n). What is the highest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktkktk. Give prob of sequence kkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 + 2761852*b**3 - 2542612505760*b**2 + 780263365138138368*b - 3121012778929219584 = 0?\nAnswer: 4, 920616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 25*b**2 - 16*b**3 - 6*b**5 + 10*b + 2708*b**4 + 52*b**3 - 17*b**2 - 2709*b**4.\nAnswer: -(b - 1)**3*(b + 3)*(6*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1968 + -1936. Let b(y) = 3*y**2 + 2*y - 13. What is the remainder when b(6) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 230\/19 + (-16)\/152. Solve 2*h + 4*p - 2 = 4, 2*h = 2*p - a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/341 and 38\/31?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 59, 63, 67?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 16729635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*i + 102, 2*i + 36 = -2*t - 0*i. Let h = 23 + t. Put 4, -1, h in increasing order.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638782 is divided by 3040.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/3 + 244*s**3\/9 - 238*s**2\/3 + 236*s\/3 - 2072. Factor x(c).\nAnswer: -4*(c - 59)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169288529339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 44*g\/3 + 50.\nAnswer: -2*(g - 25)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008249256 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:35 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 307 - 303. Suppose 78*b - 80*b = -c. Solve 4*z - 8 = -4*v - 4, 0 = 3*z + b*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 39. Suppose 0 = -k + 14 - 6. Is 5 a factor of k\/r - (-244)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 640637, 640638, 640639, 640640, 640641, 640642?\n\"Answer: h + 640636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.802854 millennia to years.\nAnswer: 6802.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38676 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 345. Let d(l) = 3*l. What is h(d(c))?\nAnswer: 3*c + 345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 2*c + 2*c + ((-2 + 0 + 0)*(2*c + 3*c - 3*c) - 3*c + c - c + (0 - 2 + 1)*(3*c - 4*c + 4*c))*(-5 + 5 + 3) in the form h*c + p and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/(-54)*(-3)\/(-15). What is the third smallest value in a, -91, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 v, and 1 x when four letters picked without replacement from {x: 1, c: 3, h: 2, p: 3, u: 2, v: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**31*j**(-28)*((j*j*(j**(-18\/7)\/j)\/j)\/j)\/(j**4*j))**39 assuming j is positive.\nAnswer: j**(-1521\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w - 2*u + 8, 0 = 3*w + 3*u. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(5 - 18\/6) + 619. Suppose -2*k - 755 = -5*n, 4*n - x = 3*k + 2*k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4852480 rounded to the nearest 10000?\nAnswer: -4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**4 + 3*h**4 + 2*h**4 + (h - 3*h + 3*h)*(-8*h**3 + h**2 - h**2).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2 + 1 - 2*r - 6. Let x(l) be the first derivative of -l**2 - 2*l - 1. Let w be x(-3). Determine m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/5)*(((o\/o**(-4\/7))\/o)\/o)\/o*(o\/o**0)**31)**(1\/8))**(-2\/15) assuming o is positive.\nAnswer: o**(-1007\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*b - 17351*b**3 + 13638*b**3 - 11923*b - 6786*b**3 wrt b?\nAnswer: -62994*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o + o**2 + (5*o - 4*o + o)*(2 - 2*o - 2) + 61*o**2 + 1 + 54*o**2 - 113*o**2 - 14*o to p*o + w*o**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.79.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15416785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 526 or 527?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-8)\/9*(-45)\/50)\/(7\/14070)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42224622 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 - s**2 + s**2)*(155*s - 74*s + 98*s) to the form b*s + p*s**4 + t*s**2 + l + i*s**3 and give p.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59998 is divided by 29984?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 20*d + 1 - 5*d + 18*d.\nAnswer: 39*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13412 - -13426. Solve 0 = l*i - 49 + 63 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -52*d**2 - 174*d + 9. What is the remainder when 487 is divided by b(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 + 0 - -1)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 34195.\nAnswer: -1\/34195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 - (-12 + (8 - (-3 + (-10 - -11))))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 11*w**3 + 32*w**2 - 6044*w. Give h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2720 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 37. Let t(s) = 3*s**2 + 2. Let o be t(5). Calculate the greatest common divisor of o and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 805 - 802. Suppose z*c = -1826 + 6359. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**3 + 807048*d**2 + 807052*d = 0.\nAnswer: -1, 0, 201763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 23. Let c be k(11). Which is greater: c or 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(-225))\/(6\/6855) + (-3)\/(-10) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753473, 753553, 753633, 753713, 753793, 753873?\nAnswer: 753953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6333790 and 6.\nAnswer: 19001370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-54) - 227\/9. List the prime factors of i\/(-3) + (-2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 1. Let q be m(-1). Let p(a) = a**2 + 1. Let w be p(q). Let d be (-1)\/(-4)*(w + -1). Solve 0 = -3*n + 5 + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1908 - 1898. Calculate the highest common factor of 795 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - 0.07. Let g = -11.3 - -6.3. Let m = 4 + -2. Which is the nearest to j? (a) -4 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48194 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30040073 not equal to 30040066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b + -7c0?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:59 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2\/7*h**2 + 12\/7 + 2\/7*h = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.6496654 to three decimal places.\nAnswer: -32.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 1226243832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -8. Let y = -22 + t. What is the second derivative of 9*c**4 - 4*c**3 + 3*c + 3*c**3 + c**y wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n - 1. Let o(j) = -51*j**2 + 4*j. Calculate t(o(f)).\nAnswer: 459*f**2 - 36*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -375 - 2.5\nAnswer: -377.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/3)*12760\/660.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -687 (base 10) to base 9.\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 454, 717, 1018, 1357?\n\"Answer: 19*i**2 + 206*i + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - k**3 - 2 + 0*k**3)*(3 + 1 + 22)*(-5*k + 3*k + 4*k).\nAnswer: -52*k**4 - 104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125155243 (base 6) in base 4?\nAnswer: 21133132023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 60, 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-104273)\/((-39)\/3) + -6?\nAnswer: 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 = -3363896*g + 3363766*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 394*u + 399*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1678.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.1 - -14. Let z = -3.1 - i. What is the third biggest value in 0, -4\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102a4 (base 16) to base 14.\nAnswer: -21039a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -d - 62, 0 = -3*a - 2*d + 53. Suppose 24 = -5*l - a. Let f = 4 - l. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - -913802?\nAnswer: 913790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 2.3 (c) -2\/523 (d) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 7*z. Let d(u) = 15*u + 54. Let a be d(-4). Let j(n) be the first derivative of n**3\/3 - n**2 + 7. Give a*s(f) - 21*j(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 18 - (6 + -9 + -1 + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:45 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z**2 - 16*z + 16*z)*(-6*z + 2*z + 2*z)*(-27*z + 99*z + 26*z) to l*z + p*z**2 + k*z**4 + h*z**3 + x and give k.\nAnswer: 1372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 48*k**2 + 61*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0402003053 rounded to 4 dps?\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -35, 1, 4 in increasing order.\nAnswer: -35, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -151441 and -0.01.\nAnswer: -151441.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(185\/(-1036))*(-252)\/(-1274)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3018 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 15*l**2 - 23*l - 57. What is c(-16)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 2 = -2*m. Suppose 0 = r - 5*z - 232, 0 = 5*r + 2*z + 3*z - 1310. Suppose m = 4*b + q - 136, -5*b + q = -r. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-24)*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1297 + 487. Calculate the remainder when i is divided by 59.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 - -43. Suppose 4*z = g - 345. Suppose -3*x + 33 = -4*d, 0*x + 4*d - 16 = -4*x. Sort z, 5, x in descending order.\nAnswer: x, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7407550.\nAnswer: 2, 5, 148151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + 8*w**2 + 3*w - 11. Let o(r) = -3*r**3 - 5*r**2 - 2*r + 7. Suppose 0*p - 2*p - 16 = 0. Calculate p*o(j) - 5*h(j).\nAnswer: -j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + d)*(d + 3*d + 0*d)*(-12*d + d + 4*d) - 3*d**3 + 2*d**3 + 3*d**3 as r + j*d**2 + m*d + i*d**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5355 - 1b?\nAnswer: -5373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5319205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 16*v - 43. Let w be n(-4). Suppose 0 = -5*l - 2*y + 6203, -3 = 8*y - w*y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8109*k**2*q**3 - 23130*k**2 - 1831*k*q + 2*k - 275 with respect to q.\nAnswer: -24327*k**2*q**2 - 1831*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let z = k - 4. Is (-138)\/(-9) + 1\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 8, 0 in descending order.\nAnswer: 8, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 10*n - 15*n - b, 5*b + 5 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 + 2*b - 8. Let g be o(6). Suppose 0 = -0*u + g*u + 4. Let y be -4*u\/6*3. Put y, 5, -5 in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -132 + 13 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let h(b) = b**2 + 2*b - 2. Let q(i) = -159*i**2 - 24*i + 24. Suppose 2 + 5 = 7*m. Let s(f) = m*q(f) + 12*h(f). Determine t(s(k)).\nAnswer: 43218*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3468 and 246474636?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -3*s. Let m = -59 - -63. Calculate the remainder when (1*(s - 0))\/1 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129375 divided by 1035.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144200120 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68c2c8 - 5?\nAnswer: -68c2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 53, -12.\nAnswer: -12, -5, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 10, -5*z = -r - 0*r + 12. Let c = 13 + z. What is the least common multiple of c and 158\/14 + 6\/(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3097890 and -22\/2385?\nAnswer: 164188170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 2*c**2 + 4*c - 9. What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sisyiqwqwismqqwwqiwi.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -19134.\nAnswer: 9567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1047 + -1046.8. Which is the closest to -0.3? (a) o (b) 1\/3 (c) -3 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5414 + 6780. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1596 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -0. Let b(z) = -4*z**2 - 7*z + 7. Let j(i) = -i**2 - 2*i + 2. Let y = 8 - 1. Give h*b(r) + y*j(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9)*q**5)**4 assuming q is positive.\nAnswer: q**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1992*k**3 + 3*k**2 + 5*k - 3. Let a(d) = -5977*d**3 - 8*d**2 - 14*d + 8. Give 3*a(x) + 8*g(x).\nAnswer: -1995*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 3*o**4\/8 - 3*o**2 + 111*o. Let h(y) = -59*y**2. What is x(h(v))?\nAnswer: -531*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + i + 2*i + 48 = 0, -2*h = 3*i - 72. Suppose -4*p + 5*z = -15, 0 = 5*p - 4*z - 0*z - h. What is the units digit of (3 - 1) + -3 + p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136801*q**4 + 379507.\nAnswer: -547204*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -8040?\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203239 is divided by 67628?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-3)*(-3)\/(-2). Let i(p) = -f*p**2 - 6*p**2 + 9*p**2. Let y(o) = -o. Calculate y(i(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1359, -2695, -4035, -5385, -6751, -8139, -9555, -11005?\n\"Answer: -t**3 + 4*t**2 - 1341*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23.43 times 2\nAnswer: -46.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 113 + 172 + 179 + 9*n**2 + 173 - 893 - 10*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let d(r) = -658*r**2 - 1. Determine d(a(x)).\nAnswer: -2632*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(42)\/sqrt(2))\/sqrt(7).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -65\/2. Suppose 5 = -5*h + 10. Let y be h\/(2 - -1 - 6). What is the closest to y in -4, -3\/5, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-7)\/(-3). Let s be 10\/8 - 1\/j. Let v be (-8)\/(-40) - 28\/(-10). Which is bigger: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h + 13*h + 35*h - 66*h. Let d(p) be the first derivative of 0*p + 1 - 10\/3*p**3 + 0*p**2. Give q(d(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 5. Let j(s) = s + 1. Let u(a) = -6*j(a) + w(a). Let q = 5 - -1. Let r = q + -4. Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 5*a**2 - a**2 + 4*a**2 in the form n*a + d + b*a**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12 and (-1 - 14\/40) + 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933628.6l to millilitres.\nAnswer: 933628600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/36 - (-44157)\/8364?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 74 - 3*s - 74.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4330725 > -4330727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5404100 to the nearest 10000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 2) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcollcccco. What is prob of picking 2 l and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7441.394 millilitres in litres?\nAnswer: 7.441394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 136 = -4*s, -108 = 29*s - 33*s - 4*j. What is the remainder when 782 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 - 47\/(-9). Solve 0 = -5*o + 4*c - 19, 0 = -5*o + 5*c - r - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - 17*y - 15. Let v be j(5). Let p = v + 4. Solve z - 23 = 5*x + 1, -x - 9 = p*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 437\/5 - 87. Is k > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2.26, 7, 4, -5\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 0, -3*p + r = 6*r - 4. Suppose -z = -p + 4. Suppose c - 4*m = 21, 2*c + 0*c = -z*m - 6. Solve c = 3*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -161*h**2 + 3326*h + 1155. Calculate r(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(2809 + 155*j - 2809)*(14 + 65 + 10).\nAnswer: -27590*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 293 = -329 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1255, -3, -19 in descending order.\nAnswer: -2\/1255, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2))**2*-6 + (sqrt(128)*-1)\/sqrt(4).\nAnswer: -192 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 3. Let h(j) = -3*j - 6. Let n(u) = 2*h(u) + 5*t(u). Let y be n(6). Let i(b) = 114*b + 4. Let o be i(0). Sort o, y, 7.\nAnswer: y, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by 3010788.\nAnswer: 17\/752697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241680862*-3.\nAnswer: -725042586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132444026 * 0.5.\nAnswer: -66222013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/8 + (-3)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/7 - 2822*t**3 - 12995460*t**2\/7 - 2940287800*t\/7 - 223556458000\/7 = 0.\nAnswer: -9187, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = y + 3*y. Let t be (28\/21)\/(y\/(-6)). Suppose -19 = t*p - 51. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 + 2)*(-13)\/(6 + 33)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(2*sqrt(640)))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22477 and 49.\nAnswer: 157339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l**4 + 0*l)*(-3 + 0 + 4)*(-3 + 0 + 1)*(7 - 75 + 1).\nAnswer: 268*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 30100 = 28*r. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 1248\/17 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0)*149 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423309 is divided by 70550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*v - 2, -3*y + 4*v = 1 + 1. Are -2\/17 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15402925.4 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8042, 16077, 24122, 32183, 40266?\n\"Answer: g**3 - g**2 + 8031*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**3*l**3 - j**3*l - 2*j**2*l**2 + 34285*j*l**3 - 141*j*l**2 + 8*l**2 + 8*l wrt l.\nAnswer: 24*j**3 + 205710*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1005162 or -1005157?\nAnswer: -1005157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8748.4*0.314\nAnswer: 2746.9976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k**2 - 158*k - 6. Calculate g(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153.4889 nanograms to tonnes.\nAnswer: 0.0000000000001534889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/(-81))\/4*(-1685327633)\/308. Let l = j + 46992372344\/57969. Let z = -2\/6441 + l. Calculate the common denominator of z and -73\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let p = o - -1.00008. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 times -0.198\nAnswer: 0.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icpc when four letters picked without replacement from {p: 7, i: 5, c: 2}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 1 - sqrt(567) - sqrt(7)*1*-6)*2)**2 + (sqrt(42)\/sqrt(2)*6)\/sqrt(768).\nAnswer: 387*sqrt(7)\/8 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*v**2 - 33*v**2 - 34*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19929 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 11\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*a**2 + 3 with respect to a.\nAnswer: -86*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17))**(-7)\/((x**(-36)\/x*x)\/x**(-17)) assuming x is positive.\nAnswer: x**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 7. Let s be (-6)\/2 - (f + 1). Let i(v) = -v**2 + 4*v - 6. Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vssbsvssbbbvsvsss?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -10\/9 (c) 1\/2 (d) 0.3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71754744446585 less than 1?\nAnswer: -71754744446584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 242.353681?\nAnswer: 247.353681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1102 - 878 = -495*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4598 and 6154214?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80696 or 80695?\nAnswer: 80695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -21 + -30 + -5 + 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (-8)\/(-6)*3. Let f be (-912)\/(-1064)*7\/(-4). Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25665455 to the power of 1\/2, to the nearest integer?\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1343?\nAnswer: 5\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 8*v - 9. Let k be c(6). Suppose -6*a = -k*a. Suppose a = -5*q + 8 + 7. Solve m + 11 = 3*l, -q = -7*m + 8*m + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5596 is divided by 71.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 9*n)*(0 + 0 + 3*n) - n**2 + 4 + 3*n**2 - 5 + (-3*n**2 - n**2 + 2*n**2)*(0 - 1 + 3) - n**2 + n**2 + n**2.\nAnswer: -28*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10\/z*z**(-2\/23)*z**(5\/3)\/z**(4\/9) assuming z is positive.\nAnswer: z**(2098\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 477 = 4*r - r - 400, 4*t = -23*r - 41 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*1\/(14\/(-20)). Let q be 4\/((-10)\/(z\/(-2))). Solve l + 4*k + 10 = 0, -k - 3 = q*l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 4\/9 (c) 3 (d) 104 (e) -2\/15 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - 52 - 2767*h**2 - 2769*h**2 + 5534*h**2 - 2*h**3 in the form z*h + j*h**2 + p + b*h**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**3 - 3*b**2 - b + 3. Let i be o(2). Suppose -26*f = -27*f + i. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 9*m**2 + 5*m + 6. Let r be y(6). What is the units digit of r\/(-42)*14\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 180 - 180.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 737410021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -17. Suppose -4*f = -o - 28, 2*f - s = -o + 11. Does 18 divide (24\/f)\/(1\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -h - 7*i + 258, 0 = -2*h + 2*i + 498. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 72842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let j(l) be the second derivative of 2*l**7\/315 - 49*l**4\/12 + 19*l - 3. Let v(t) be the third derivative of j(t). Calculate -12*k(z) + v(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -1.6 (c) -1.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2531.7466 - -2520.762871. Let g = 12.7837268 + k. Let o = 1.8 - g. What is o rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*u - 3 + 3 + 218*u - 448*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1640*l**3 - 47*l**2 + 19*l - 68. Let n(j) = 328*j**3 - 10*j**2 + 4*j - 14. Calculate 19*n(g) - 4*o(g).\nAnswer: -328*g**3 - 2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 42)\/(52\/(-16731))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 4. Let d be y(-8). Suppose 2*q + 12 = 4*f, 3*f + q = -q + 9. Let c = d - f. Let v(u) = 6*u**3 + u**2 - 2*u + 1. Give v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/9 (b) -4\/7 (c) 6 (d) 10 (e) -1 (f) 0.3 (g) -236\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579 - 568 - z - 602 + 2318 - 569.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101459 to the power of 1\/2, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.426 or -1.08866?\nAnswer: -1.08866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*t - 17 = 0, 2*s + 3*t = 2 + 7. Let n = s - -2. Suppose -12 = 4*m - 32. Solve -2*i + n*p - 8 - 18 = 0, p + 11 = -m*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - (9 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - -0.03. Let g = 1.147 - 1.107. Let r = g - o. Which is the fourth smallest value? (a) 0.2 (b) r (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4601072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 620 = -v + 49*x - 99*x + 43*x, -16*v + x + 73 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaskmjs. Give prob of sequence jak.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8305199049 to the power of 1\/2, to the nearest integer?\nAnswer: 91133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10)*1935\/(-3). Let n be 4\/(1 - o\/393). Suppose -3*s + 0*f = 2*f - n, -2*s + 188 = 4*f. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4510.9928 - -4519. Let c = 0.07 - 8.07. Let d = q + c. What is d rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3\/7 (c) 1\/3 (d) 2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 18 = 4*l, -5*l - 2*i = 24. Let y(k) = -4*k - 4. Let j be y(l). Let f = 139\/7 - j. Sort 3\/4, 2\/7, f in descending order.\nAnswer: 3\/4, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 11:11 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 * -5.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogos when four letters picked without replacement from {b: 4, e: 1, o: 11, s: 1, g: 1}.\nAnswer: 11\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 29 = 22*t - t. Suppose -4*j = -13 + 1. Suppose t = j*h + 3*h - 90. What is the remainder when 25 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a5bc2 (base 13) in base 2?\nAnswer: 1001000111001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 1. Let f(k) = -3*k - 8. Let r(v) = f(v) + 4*x(v). Let q be 0 - 2\/(-2)*26. Let t = -19 + q. Determine r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4211756014 to the power of 1\/2, to the nearest integer?\nAnswer: 64898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-24 - (-28 + 8 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 12. Let c(j) = -j - 4. Let r be (1\/(-2) - (-153)\/(-34))*7. Let m = r - -10. Let b be 4\/10 + (-190)\/m. Give b*c(w) + 3*v(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 48. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*l**3*n**2 - l**3 - 2*l**2*n**5 + 25*l**2*n + 2*l - 8*n**3 + 15*n wrt n?\nAnswer: -34*l**3 - 40*l**2*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, b: 2}. What is prob of sequence bhbh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 - 21*d - 359. Give s(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 1. Let d(s) = -23*s + 1. Determine -2*d(a) + 4*z(a).\nAnswer: 38*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 8*n**2 + 4*n - 9. Let b be v(4). Suppose -5*s - b + 47 = 0. Suppose 3*k = -3*g + 51, -2*g - k = -31 - s. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/125 and 109\/20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Differentiate 11 + 7*l + 5 + q wrt l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 419\/12. Let t = -22\/3 + 7. Which is the second smallest value? (a) u (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2361081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210324?\nAnswer: 2, 302581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2745 - 2739. Solve 5 = -x*i + 2*i - 5*n, -2*i = -5*n - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341736487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 33 = 5*j - 42, 0 = -5*j + 4*x + 75. Solve -5*l + j = -r, 2*r - 12 = -2*r - 4*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29631550 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12188619 is divided by 6028.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, n: 2, l: 3, x: 4}. Give prob of picking 1 p and 1 x.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let o(k) = 11*k**2 - k + 1. Let x(y) = -11*y**2. Let s(u) = 2*o(u) + 3*x(u). Let p(l) = -l**2 - l + 1. Let v(r) = -2*p(r) + s(r). Give z(v(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -123*t**2. Let u(l) = 2*l + 73. What is u(m(z))?\nAnswer: -246*z**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 26. Which is the second smallest value? (a) 0.2 (b) 2\/17 (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -4*a - 3*i + 59, -3*a + 108 = 24*i + 333 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -263, 0.259, 2, 4, -5?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 2*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 274 (b) 14209 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 85\/333, -16, -0.8 in descending order.\nAnswer: 5\/4, 85\/333, -0.8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/11))**(-31)*(q*q\/(q**0*q)*q)\/q**(-1))**19 assuming q is positive.\nAnswer: q**(2983\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44283 and -1.3?\nAnswer: 44284.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 659*f + 14. Let p(j) = -657*j - 11. Calculate 3*p(y) + 2*v(y).\nAnswer: -653*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288937 is divided by 1049?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 76. Suppose -6*o = 7*o - 3*o. Solve o = u*f - f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 535083185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 3:44 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1905\/4*t**2 + 477\/2*t**3 + 238*t - 1\/4*t**4 + 0.\nAnswer: -t*(t - 952)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 8*v - 32 = 0. Suppose 2*y = -4, -8 = -l - 5*y + v. What is the highest common divisor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5868453 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4, -11 in descending order.\nAnswer: 1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444.9475 + 1.1825. Let p = g + -451. Round p to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - j)*(-3137 - 4*j + 3137 + 7*j**3).\nAnswer: 14*j**4 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 22*f**2 + 6*f + 6. Let s be j(11). Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37097*o**3 - 254*o - 17.\nAnswer: -222582*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 11454\/(-10)*(-140)\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (36000\/180)\/(-50)*(-10)\/8*(-33)\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(3 + -1*(0 + sqrt(1008)) + sqrt(1008) + sqrt(1008)*1 + -5 + sqrt(1008) + (0 + sqrt(1008) + sqrt(1008))*-4 + sqrt(1008)) + 3)**2.\nAnswer: 1680*sqrt(7) + 100849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b - 1. Let y(v) = -3*v**2 - 27*v + 6. What is -5*k(f) - y(f)?\nAnswer: -2*f**2 + 22*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1856844 and 147258?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + g + 3194 = 0, 5*j - 10*j - 5*g = -5310. What is the highest common factor of 2280 and j?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = g + 3 - 1, -5*n + 4 = -4*g. Let q(y) be the second derivative of -4*y**2 + 0 + 4*y - 1\/6*y**3. Give q(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 + -246. What is the third biggest value in -1\/5, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -190, -190, -188, -184, -178, -170?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109567 is divided by 602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:31 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2344*x + 2624. Is q(2) a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 142*n - 1. Let u be k(3). Let y be u\/150 + (-25)\/30. Factor 1\/5*l**2 - y*l + 9\/5.\nAnswer: (l - 9)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z. Let o(a) be the first derivative of -31*a**3\/3 - 259. What is s(o(k))?\nAnswer: 124*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -461551 (base 7) in base 10?\nAnswer: -82258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271439779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*j**3 - 7*b*j + 116451*b - 2*j**3 + 11429*j**2 - 67*j wrt b?\nAnswer: -2*j**3 - 7*j + 116451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 12. Suppose m = c - 1. Is 8 a factor of -1*48\/(m + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 0.5 (b) -4 (c) 1.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let a = -1.6 + 3.5. Let v = 2 - a. Sort m, v, 2\/19.\nAnswer: v, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = -15. Let q(b) = b**3 - 4*b**2 - b - 2. Does 16 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26527686 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1559, -1637, -1751, -1907, -2111, -2369, -2687, -3071?\nAnswer: -3527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -42. Suppose -2*k = -7*k + f. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -167*a + 550. What is the lowest common multiple of p(2) and 30?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 15*y**4 - 15110*y**3 + 3860035*y**2 - 27535000*y + 8750000 = 0?\nAnswer: 1\/3, 7, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 2745*m.\nAnswer: m*(m + 2745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -154\/13*h**4 + 0 - 588\/13*h**3 - 1\/780*h**6 - 17\/78*h**5 + 5*h**2 + 0*h. Factor r(y).\nAnswer: -2*(y + 1)*(y + 42)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 17 = 2*c, -179117*c = -179114*c + 7 + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 3. Let t(b) = -17*b + 8. Let p(u) = -3*t(u) + 8*z(u). Let y(s) = 16*s. Calculate y(p(c)).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 - 2*h + 3. Let j be s(2). Suppose -p + 0*p = -j. Let t be (653 - p)*12\/(-2). What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 2. Calculate w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*u + 2*l, 4*u + 3*l = 13 - 6. Suppose -5*v = -3*v - u. Sort -5, v, -4.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let z = -29703381.99999992 + 29703378. Let t = l + z. What is t rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 187 = 43. Suppose -3*k + 11 = -2*y, -2*k - y + 5 = -0. Suppose j = a - 7 - n, 0 = k*a + 2*j - 38. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + -7.91. Let z = s + 12. Let m = 0.08 + -0.08. Which is the nearest to 0.1? (a) m (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -21 + 25 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*q + 5859 = -572*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39750135 to four dps.\nAnswer: 0.3975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1148536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -65*n + 61*n. Solve 0 = t + 3*p - 3, 0 = -4*t - 4*p + n - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481 - 480.6. What is the biggest value in -41, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(5)*2)*-3)\/(-2*sqrt(44)\/sqrt(4)*-5) + -4.\nAnswer: -4 - 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(14) + sqrt(126))*6)\/(sqrt(72)*1*-6 - sqrt(72) - sqrt(72)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 33. Let z be u(-15). Solve z*f + 9 = 0, 5*f + 0*f = -3*k - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**41\/g*g)\/g)**(-50)*(g**37\/g)**(-26) assuming g is positive.\nAnswer: g**(-2936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.63 + 9.47. Let r = -41.9 + 52.94. Let z = r - u. Round z to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -321, 46, -5 in decreasing order.\nAnswer: 46, 2, -5, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5420\/13008*2\/(-45)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4414?\nAnswer: 39726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 6*a**2 - 3*a - 14. Calculate s(6).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n - 137. Let i be g(-10). What is m in -2\/9*m**2 - 1\/9*m**i + 1\/9*m + 2\/9 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*b + 80*b + 92*b - 50*b in the form x + r*b and give r.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -319 (b) -2.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36630874 is divided by 18315425?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + i + i)*(-2*i + i + 3*i)*(2 + 0 + 1) + ((3 - 2 + 1)*(0*i - i - 2*i) + i + 5*i - 5*i)*(6*i - 4*i - 8*i) as n*i**2 + r + q*i and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(72) + sqrt(72) + -1 + sqrt(72)) + 4 + sqrt(8)\/sqrt(4) + sqrt(18)*5)**2.\nAnswer: -496*sqrt(2) + 30756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 25, 549 - 3001 = -2*i - 4*k. What is the derivative of -i*r - 79 + 6*r**4 + 1216*r + 7*r**2 + 16 wrt r?\nAnswer: 24*r**3 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 3. Let s be -2 - -4 - (-2 + 1). Suppose 0 = 5*d + u + 19, s*d - 1 = -4*u - 9. Let f = d + 2. Calculate a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9\/(-2)*(-176)\/(-66)*-2 and 348.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 13*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y - 4. Suppose 0 = d - 4*d. Solve d = -z - x + 3, y*z = -3*x - 7 + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6*v + 1520*b**3*v + 162*b**2*v + 4*v - 2 wrt b.\nAnswer: -240*b**3*v + 9120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**5\/5 - 7*i**4\/2 + 91*i**3\/3 - 3820*i + 2323. What is the derivative of y(d) wrt d?\nAnswer: -8*d**3 - 42*d**2 + 182*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 12*s**2 - 14*s. Is o(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 70*j**2 + 247*j**3 - 34 - 69*j**2 + 34 in the form x*j**2 + l*j + d*j**3 + r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuvuvuuuuuuuuuuuu.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-2)\/(-4) - 0). Let c = -1255.81 + -54.29. Let b = c + 1310. Sort -0.3, b, k in decreasing order.\nAnswer: k, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611854 (base 10) in base 2?\nAnswer: -10010101011000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341191\/278 or -1227?\nAnswer: -341191\/278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = 21. Let i be 3\/a*(-10)\/6. Let x be 3*((-2)\/(-32) + (-100)\/(-8640)). What is the closest to -1\/2 in -0.2, x, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*y - 16 = 0, 8*i - 4*y - 42 = 5*i. Solve -82*q + 77*q - i = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-533)\/(-39))\/41)\/((-550)\/44*(-8)\/(-210)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 42*c**2 - 121*c - 77. Is x(-44) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 25 = 7*w. What is the greatest common factor of 4 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1176*z - 12. Let r be h(52). Suppose -12*d = -164520 - r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2226 equal to -2227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -477, -718?\n\"Answer: -241*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 690623699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/183, -9, 0.4.\nAnswer: -9, -2\/183, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*p + 2 - 22, 2*p + 2*y + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 3373392*w - 40481280 = 0. Calculate w.\nAnswer: -12, 843360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.13 - 0.13. Let o = -3.5 + s. What is the closest to -2\/7 in -0.3, o, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1371, 816, -103, -1380, -3009, -4984, -7299, -9948?\n\"Answer: i**3 - 188*i**2 + 2*i + 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244.9 - 245. What is the nearest to 9 in v, -5\/4, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - -10101110?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-5 - -10 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004723717 to 6 decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2.2. Let w = d - 4. Let q be ((-4)\/6)\/(323\/(-57)). Which is the nearest to w? (a) -0.1 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z + 27. Let v be f(-3). Which is the smallest value? (a) -3 (b) v (c) 1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - k = 52 + 170, 5*k + 560 = 5*s. Let d = 116 - 68. Suppose -4*w + 3*m + d = -m, m + 22 = 2*w. What is the highest common factor of w and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174383622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 4) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.695 less than or equal to 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.2 (c) 298922\/159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)\/sqrt(4)) - (sqrt(3) - sqrt(12)\/sqrt(4))*4)**2 - (sqrt(243) + -2 + -3).\nAnswer: -9*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 13. Let j(a) = a - 9. Let g(d) = 8*j(d) + 5*y(d). Let l be g(6). Do 45\/4 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslwllwlwlqlslslls. What is prob of sequence lql?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5932.\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - k)*(-5*k + 0*k + 3*k)*(0 + 0 - 2*k) to the form r + m*k + o*k**3 + d*k**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 28. Let x(a) = -a**3 - 8*a**2 - 14*a - 42. Let y be x(k). Is (y*1)\/((-173)\/29 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b - 1. Let s = 600 - 624. Let h be 30\/s - (-30)\/(-40). Give r(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4924900 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-427)\/(-13) + (3 - 37\/13) is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -126. Let p = w - -44. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -2994 in descending order.\nAnswer: 3, -3, -5, -2994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1478 - -3071. Let z = j - 12771\/8. Let x = 330 + -2315\/7. What is the common denominator of z and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08256 to three dps.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 22877100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4150 + 8345 - 3940)*(0*w - 1 + w + w).\nAnswer: 2*w**2 + 509*w - 255","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.311 plus -4.7093948?\nAnswer: -4.3983948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -28.9. Let s = y - -1.2. What is the biggest value in 2\/21, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53044307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5.3.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 161384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-360)\/(-16)*(-6)\/(-5). Let c = d + -24. Solve -c*u - 5 - 7 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.5 (c) 418 (d) -5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13316?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, -4204 in descending order.\nAnswer: 0.1, -2\/5, -4204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. Let w be s(5). Let y(f) = 0 - 5 - w*f + 4. Suppose -3 = 2*l + l. Determine y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1744?\nAnswer: 3\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 57*q = -3*j - 33819, -3*q + 4*j = -20287. What are the prime factors of q?\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 39*b + 63. Let o(l) = l**2 + 19*l + 31. Let w(c) = -4*n(c) + 9*o(c). What is the units digit of w(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 * 573\nAnswer: 40683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 66*q**2 + 1381*q + 2490.\nAnswer: -(q - 83)*(q + 2)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 45 = 6*b. List the prime factors of 4\/(-18) + (-281)\/b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1092429 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/(-140)*14\/(-60). Is 0.18 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-2))\/(1016\/254)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w - 10. Let l be r(-4). Let u(x) = 6*x**2. Let c(s) = s**2. Let h(v) = l*c(v) - 2*u(v). Let q(f) = f**2 - 1 + 1 + 4*f**2. Calculate h(q(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) -32 (c) 2\/3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 491947 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023225 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + (sqrt(180) - -1*sqrt(180)) - -5*(sqrt(180) - -3*sqrt(180)))*2)**2.\nAnswer: -696992 - 4224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331378 is divided by 1080.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -232*y**3 - y**2 + 4*y + 4. Give a(-1).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.06. Let k = f + -0.01. Let w = 7.45 - 7.85. Which is the closest to 2? (a) w (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 180510\nAnswer: 1\/36102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 3*m - 10 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 (base 12) in base 8?\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggx when three letters picked without replacement from ggeeereuxr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q. Let o = 10 - 5. Let v(z) = -z + 4*z - o*z. Give v(u(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -191. Let k = u - 143.5. Let i = -13 - k. Round i to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1275, -0.5, 0 in increasing order.\nAnswer: -0.5, 0, 5, 1275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u + 0*u**2 + 3*u**2 + 6 - 2*u**2 + 0*u. Let s be z(-12). Let x = s + -10. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 27. Find the first derivative of 6*n**3 + 2 - 4*n**q + 0 + 11*n**3 wrt n.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/48*8 + 34636.\nAnswer: 3, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 156459249 + 78229625 + 78229624.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127373 divided by -1127373?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 902.8912 years?\nAnswer: 0.9028912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -5, 5, 59, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 3*v**3 - 3*v**3)*(23968 - 30253 - 31177 - 29602 - 6532) in the form l*v**3 + p + z*v**2 + y*v and give l.\nAnswer: 73596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -69. Suppose -1303 = -33*o + 3614. Put -0.2, q, o in descending order.\nAnswer: o, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10148 + -162267\/16. Find the common denominator of -1\/72 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 126. Suppose 13*r - l = 10*r. Calculate the remainder when 41 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 606118, 1212188, 1818244, 2424286, 3030314?\n\"Answer: -7*k**2 + 606091*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l - 59*l + 9*l + 15*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 9*c**2 + c + 12. Let u be z(-9). Sort u, 1, 2 in increasing order.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2625 and 8\/(-18)*(-85249)\/(-20920)?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 + -228. Suppose 426 = 2*t - v*d - d, -t + 219 = d. List the prime factors of t.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(-12*u + 11*u - 27*u) + 68*u + 18*u - 14*u.\nAnswer: 184*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7623))\/(sqrt(9) - sqrt(81)*-3).\nAnswer: -11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 254*f - 1564 + 60 + 5*f**3 + 2*f**2.\nAnswer: 2*f**3 + 2*f**2 + 254*f - 1504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3516815453 to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.81 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 8*x**2 + 0*x**2 + 5*x**2. Let o(i) = 191*i**2. Determine a(o(n)).\nAnswer: -36481*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -864 (base 10) in base 6?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 5) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/13*(-355)\/(-45). Is -24 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)\/k)**(-2\/11) assuming k is positive.\nAnswer: k**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*h**4 - 5*h**3 - 2*h**2 + 13828?\nAnswer: 56*h**3 - 15*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20 + 20*u**2 - 3*u**3 + 108*u**3 - 101*u**3 - 4*u.\nAnswer: 4*(u - 1)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 + -281. List the prime factors of (7785\/r)\/(2\/8).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -179, -300, -475, -722, -1059?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*c - 2*y, 5*c + 0*y - 49 = -4*y. Let t = 12 + c. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102287 and 1165?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4328047*f**3 + 9382750 with respect to f.\nAnswer: -12984141*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wffw when four letters picked without replacement from ffwfwtwfwwwtwfwwlwbl.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-6 - -2 - 2)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 20. What is the closest to 1\/2 in -2, a, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccel when four letters picked without replacement from {e: 2, c: 5, l: 7}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 381 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20708*j**3*t + 9*j**2*t**3 + 3*j**2*t + j*t**2 - 81*j + 8256*t**3 wrt j?\nAnswer: -124248*j*t + 18*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/50208 and -109\/1900.\nAnswer: 23848800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*x + 6*a + 24, 5*a + 12 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:48 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -6 - 14, -5*x + 37293 = 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-6)\/(-15) + (-36)\/15. Suppose i*r - 81 = 213. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 0.5 (c) -0.3 (d) 5 (e) -1.6 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*j*l**2 + j + 2*l + 10 wrt l.\nAnswer: -88*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 9*b - 8. Let x be i(8). Let w be 4*-1*(-6 - (-77)\/14). Suppose w*t = -6*t + x. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(2\/5)*p)\/p))**(-4\/9)*p**5*p**5*p*p)**(-23) assuming p is positive.\nAnswer: p**(-12604\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:36 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 132*t**2 - 722*t + 1. Determine b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 967424027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*((sqrt(1008)*-3)**2 + sqrt(1008)) - ((2 + sqrt(1008))*1)**2))*-2*2*5.\nAnswer: 1680*sqrt(7) + 564580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 370500 times -0.1?\nAnswer: -37050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3217915ml in litres?\nAnswer: 0.0003217915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112 (base 3) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3312)\/(-32))\/3*4\/6 - 6. Which is smaller: 18.7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 39*c**2 + 26*c - 60. Does 14 divide a(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 37*z - 17. Let c be b(-18). Let t(p) = 15*p**2 + 2*p. Let f be t(c). Solve -12 = 14*m - f*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2386 - -2245 - (-40 + 0)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(0 + -14) - 12232\/(-616). Solve 0 = -56*m + 61*m + c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8331*a + 50000. What is c(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100110001110101 (base 2) to base 10\nAnswer: 19573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -0.4, 0.05, -7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12240 and 221472.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1658230, -1658220, -1658210?\nAnswer: -1658200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115952 + 1159563\/10. What is s in -q*s**2 + 1 + 2\/5*s**3 + 29\/10*s = 0?\nAnswer: -1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 31. Give t(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622a85 (base 12) in base 8?\nAnswer: 34516605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Put 2\/11, 5, c in increasing order.\nAnswer: c, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.139 + 0.161. Let w = -0.13 + 0.53. Let a = 0.4 - w. What is the fourth smallest value in -0.5, d, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 6) to base 3.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*b + 19*b**5 + 24*b**5 + 28*b**5 - 9*b wrt b.\nAnswer: 1420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1788231143553716 - -1788230954243194.99999175. Let d = -189310557 - k. Let n = 36 + d. Round n to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c5 - 16b41?\nAnswer: -1696b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*s + 30 = 3*s, -2*k + 3*s + 26 = 0. Is 10 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:41 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-2 + sqrt(45) + (sqrt(45) - -4*(sqrt(225)\/sqrt(5) + sqrt(45))))\/(sqrt(63)\/sqrt(63) - sqrt(9)*2*5).\nAnswer: 6*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - t = -21, 40*t - 43*t = g - 13. Let k(v) = -v. Let d be k(-3). Suppose 2*n - 25 + 21 = 0. Solve 0 = n*f + d*f - g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + o**3 + 3*o**3 + 18*o + 3*o**3 - 8*o**3.\nAnswer: -o**3 + 54*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + 2*l**2)*((-1 - 2 + 5)*(-4*l - l + 3*l) + 0*l - l - 2*l).\nAnswer: -14*l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86349 + 11799 = 585*a + 125*a for a.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.44851 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, z: 3, g: 2, i: 4}. What is prob of picking 1 z and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 - 173. Let r = s + -58. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2. Let w = -5 - -3. Let v = -2 + w. What is the biggest value in -1, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -3 - (5 + 0). Let z be (12\/9)\/(1\/q). Let o = z - -137\/12. Which is the smallest value? (a) o (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20075 is divided by 3339?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57870, -56718, -54798, -52110, -48654?\n\"Answer: 384*t**2 - 58254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-482)\/482*(-94)\/((-4)\/(-2))*1\/1\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254885.\nAnswer: 5, 19, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -649*k**3 - 5*k**2 + 212*k + 217. Give o(-1).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*z**2 + 3\/4*z**3 + 0 - 3\/4*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*t + 286 = -3*t, 0 = 5*z + 4*t - 307. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(-n + 2*n + 3*n) + 2*n + 2*n - 6*n + (0 - 3 + 4)*(-3*n + 1 - 1))*(-4 + 2 + 1).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 2*g**2 + 2*g**2 + (0*g - 2*g + 4*g)*(-3*g**2 + 4 - 4) + g**3 + g**2 - g**2)*(1 + 0 + 2).\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6, 5*a + 664 = -t + 2396. Suppose 132 = 2*z - a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8 - 3 - z - z. What is the remainder when y(-18) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 326 + (-1 - 4)\/5. Let t = 528 - c. List the prime factors of t.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11734361 is divided by 2071?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 = 5*b + 9. Suppose -3*s + b = -40. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mspy when four letters picked without replacement from pypbymms.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**4\/24 + h**2. What are the prime factors of o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 2*k**2 - k - 2. Let o be u(-2). Let b(a) be the second derivative of a**5\/20 + a**4\/12 - a**3\/6 + a**2\/2 + a. What is the units digit of b(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 + 12346*r**3 + 4*r + 2*r**4 - 12348*r**3 - 2 as a*r**2 + d*r**3 + w + k*r + u*r**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768102 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 8 = 0. Let w be 39\/(-65) + m\/(-10). List the prime factors of 15\/5 - w*14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 11*m**2 + 6 to the form q*m**2 + p + c*m and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 4*z + 10 + (0 + 0 - z)*(-1 - 3 + 1).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -31677479 and -158387398\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/125 (b) 0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 61*m - 17*m + 630 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -1\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 5*y + 5. Let d be q(5). Let k be 46\/d - (-5)\/(-25). Let 2*l**4 - 2\/3 + 2*l - 2\/3*l**5 - 4\/3*l**3 - k*l**2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + 56 - 28*c - 54 to b*c + d and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*(-16)\/(-320).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -87, -2, 3\/2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 2, j: 1, g: 1, i: 5}. Give prob of sequence gi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*f = 55, 2*f = -3*g + 5*f + 42. Suppose 5*h = -2*x + 29 - g, 0 = 2*h - x - 1. Suppose 279 = h*k + 25. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 13, j: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*2*300\/100?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (44 - 98) + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*r + 30 = 5*j - 13, 41*j = 49*j - 7*r - 43 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 29*a - 19041. Calculate s(124).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:00 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*n + 3*d - 5*d, -2*n + 116 = 2*d. Is n >= 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1005*r**3 - 11*r**2 + 10*r + 2. What is c(1)?\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -0.04 (c) -23 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153671437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46265*f*x**2 - 18998*f - 3*x**2 - 24 with respect to x.\nAnswer: 92530*f*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 2 + (-5 - -2). Suppose -4*v = -3*i - w, v + 3*i - 1 - 8 = 0. Let r = 6 - v. Calculate the least common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1513.3 - -1490. Which is the closest to -0.2? (a) -3 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 2. Let p(o) = 166*o + 44. Let j(l) = -33*l - 9. Let k(s) = 11*j(s) + 2*p(s). Give 11*f(n) - 2*k(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**2 - 9*h + 2*h + 6*h + h**2 - 1. Let q(s) = -3*s**2 - 1. Let u be (3\/(-9))\/((-6)\/18). Suppose -u = -4*t + 3. Determine t*q(o) + 2*w(o).\nAnswer: -o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 + 2 = -4*x, w + 9*x = -41. Let u(a) = -2*a. Let o be u(-1). Solve 2*h + 7*m + 6 = 2*m, -w*h + o = 3*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*c + 63, 3 = -3*c + 4*c. Suppose 8*z = 12*z - k. Suppose d - 221 = 2*h, -z*h = 5*d - 4*h - 1123. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -232, -458, -680, -898, -1112?\n\"Answer: 2*k**2 - 232*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p + 1. Let w be l(-7). What is the units digit of w*(24\/9 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10520871 divided by -198507\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0)*(15 + 28 + 51 + (-2 + 2 + 1)*(0 - 1 - 1) - 1 - 2 - 3).\nAnswer: 172*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2739635 millennia to decades.\nAnswer: 27.39635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 903*v - 3038. What is z(6)?\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -6*j + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.275 and -0.074.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + -1.9. What is the nearest to -2\/5 in t, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 5*l - 1. Suppose 0 = 2*c - 0*c - 4. Suppose -c*u + 24 = h - 0*h, -5*h = -3*u + 10. Let w be (-2)\/10 + 52\/u. Calculate f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85571733 divided by 2194147?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 2, c: 1, e: 1}. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*n + 3*n + 2, 0 = 2*l - 2*n + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9368924 to the power of 1\/2, to the nearest integer?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o - 120*o - 415 - 3813 = -4 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12952 - 0?\nAnswer: 12952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93600 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2 + 1 + 6*r - 2 - 10. What are the prime factors of j(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23320112103 (base 4) in base 2?\nAnswer: -1011111000010110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Suppose 34 = d*k - 46. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -28c7?\nAnswer: -28be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255.1 - -255. Let k = 6 - 6. Which is the closest to o? (a) k (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 109*q - 113*q. Suppose q + 55 = 10*z. Solve o = -o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.0119 and -2286.\nAnswer: 18315.2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 27. Let h be t(-9). Let m = h - -274. Factor 0 + 0*a**2 + 0*a**3 + 0*a + 5\/3*a**5 - 5\/3*a**m.\nAnswer: 5*a**4*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*p = -9, -f + 1 = 2*f + 4*p. Let s(u) = -7*u - 1. What is the remainder when 15 is divided by s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**5\/5 + 76*x**4\/5 - 232*x**3\/5 + 208*x**2\/5 = 0.\nAnswer: 0, 2, 26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*h - 28798, -y + 2320 + 3438 = -2*h. Suppose -3*r = -0*r + 5*b + y, 7680 = -4*r + 5*b. What is r rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/s**(-2\/3))\/s*s*s*s)\/(s*s*s**(-2\/9)))\/((s*s*s**(-1))\/s)**(1\/15))**(7\/6) assuming s is positive.\nAnswer: s**(91\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 + -203. What is the third smallest value in 1.3, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4530278?\nAnswer: 2, 31, 89, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - 7*m - 7. Suppose -5*f + 81 - 61 = 0. Let x be c(f). What is the greatest common divisor of x and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, -0.3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19625 - -35564. List the prime factors of l.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(2\/(-2)). Let a = -4.412 - -0.012. Let j = a + 0.4. Sort 5, j, z in ascending order.\nAnswer: j, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13418 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 12*u**2 - 9*u + 23. Let d be g(-11). Let c = 7961\/62 + -3870\/31. Let z = c - 2\/31. Is z bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14494068119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3822 is divided by 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 - -375. Calculate the greatest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307540495 to the power of 1\/2, to the nearest integer?\nAnswer: 57511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10181972 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - -3) + (0 - 3) + -2. Suppose s*c - 7*c = -3*l + 37, l = 2*c - 21. Let u = 13 - c. Solve j + 23 = 4*j + 4*q, 18 = 3*j + u*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 43. Let w(v) = c*v - 20*v + 0 + 0. Let b(d) = -d**2. Calculate b(w(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 - m**4\/3 + 5*m**3\/6 + 5*m**2\/2 - 2*m + 8. Let n be (1 - 6) + (-2 - -2). Calculate w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -0*j + 2*j. Let u = -45 - -191. Suppose 4*n + y - 249 = -n, 4*y - u = -3*n. Calculate the remainder when n is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 + 13 = 0. Let r(t) be the first derivative of 0*t - 1\/4*t**2 - 1\/10*t**5 - 3\/8*t**n + 1 - 1\/2*t**3. Solve r(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*(-21)\/7*6\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w**3 + 5*w**2 - 5*w + 1. Let f be a(2). Suppose 0 = 9*g + 807 + f. Let i = 180 + g. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - i - 5, -2*u + 3*i + 14 = -1. Let x = 2 + u. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -568365 divided by -189455.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s + 1. Let p be c(-2). Suppose 5*z - p = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 12 = -2*l, -d = 2*l + 21. Let q be (-102)\/d - 2\/(-9). Suppose 4*f + q = 6*f. Solve -f*a + 7 = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*w + 95 - 50, 3*w = -5*q - 11. Sort 918, q, -5 in ascending order.\nAnswer: -5, q, 918","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 22*c**2 + 6*c - 7. Determine d(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.1345 + -0.1265. Let m = 6 - x. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3005835\nAnswer: 9017505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 7:09 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -767*a**2 + 6*a**3 + 30*a**6 - 298*a**2 + 11*a**3 - 275*a**2 wrt a.\nAnswer: 3600*a**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/29, -42 in decreasing order.\nAnswer: 4, -2\/29, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - n**2)*(-980*n + 980*n - 3812*n**2)*(3*n - 3*n + 2*n) + 0*n - n**5 + 0*n.\nAnswer: 7623*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*w - 102*w**2 - 87*w**2 - 102*w**2 + 302*w**2.\nAnswer: 11*w**2 - 109*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 196, 396, 596?\n\"Answer: 200*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -10 in ascending order.\nAnswer: -10, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-7 - (-55 + -9)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 2. Let z(c) = -c**2 + 25*c - 11. Let y(q) = -11*s(q) - 2*z(q). Find the second derivative of y(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*l = -p - 12, 4*p + 2*l = 8. Suppose 9*i - 11*i + 110 = 5*b, 0 = -b - p*i + 40. What is the remainder when 638 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 - 39*u**2 + 15*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36618 (base 10) to base 2.\nAnswer: -1000111100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/((-308)\/363))\/(99\/(-132)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -22 + -28 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -599, -1980, -4673, -9116, -15747, -25004?\nAnswer: -37325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljljllljllllll. Give prob of picking 3 l.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281\/2 or -15?\nAnswer: -281\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/28 - (-3)\/2. Solve g**5 - 2*g**3 + g - 1\/2*g**4 - 1\/2 + g**s = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*t + 6. Solve -2 = -5*y + 3*u - 0*u, t*y - 5*u = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18, 114, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, 5, 95, 20535 in increasing order.\nAnswer: -5, -2, 1, 5, 95, 20535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c + 30*c + 105 = 0. Solve -c*b = -z - 5, -1 = -3*z - 3*b + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3741674 (base 12) in base 11?\nAnswer: -60a725a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 4546108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9095228*k - 294 + 299 - 9095231*k.\nAnswer: -3*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 615335 = 2*h + 75409, -539908 = -2*h + 5*i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7*i + 3*i + 14 = 0, 0 = -5*l + 3*i + 1. Let h = -41\/8 + 303\/56. Find n such that -h*n + 0 + 2\/7*n**l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 4*(0 + sqrt(304)) - sqrt(304)) + sqrt(304))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - -22. Suppose -j = -5*q - 10. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 71412585?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 7559.\nAnswer: -10\/7559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - 327*r**2 - 8*r + 13*r as w*r**2 + b*r + q and give w.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211221000211 + 2?\nAnswer: -211221000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -40?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/4320*30*(-9)\/(-14)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -9.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2441 (base 6) to base 2.\nAnswer: 1001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ossiiossosss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-7)\/63*-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13399 and -0.14?\nAnswer: 13398.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:30 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 6. Let q = 32.87 + -32.57. Put 5, j, q in decreasing order.\nAnswer: j, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Suppose 152 = 4*z - 5*y, -4*z + y + 103 = -z. Calculate the least common multiple of t and 6\/z + (-75)\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -144*o + 526. Is 33 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5))**15*(l**(-21)\/l)\/(l\/(l**(-16)\/l)))**(-6) assuming l is positive.\nAnswer: l**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6*z + 6. Suppose i = -3, -z*i + 343 = 4*a - 8. Suppose 0 = -89*v + a*v - 5471. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144563 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o + 16. Suppose -3*p + 6 = -0. What is the least common multiple of p and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -1. Suppose 20 = -4*c + g*c. Solve s = c*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -369332 (base 14) in base 3?\nAnswer: -10111222012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**3 - 5*g**2 + 4*g - 2. What is z(2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 99. Solve w*v + 2 = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 > -1414\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 128. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = -5*d + 10, -2*d = 4*n + 14. Suppose 0 = 3*b + d - 138. List the prime factors of ((-4)\/3)\/((-6)\/b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -86 (b) -0.1 (c) 0.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 6 (c) 8.9 (d) -4\/7 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5551523327 from 2.\nAnswer: -5551523325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 262\/9 + -29. Put -1\/3, l, 6 in increasing order.\nAnswer: -1\/3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 64*u**5\/11 + 960*u**4\/11 + 884*u**3\/11 - 178*u**2\/11 - 138*u\/11 + 28\/11 = 0?\nAnswer: -14, -1, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4212221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 3 - 6 - (4 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -80\/183?\nAnswer: -80\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 58*b**2 + 430*b + 950 = 0. Calculate b.\nAnswer: -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41\/672 + 5\/32. Let j = 0.5 + -0.3. What is the closest to j in 0.4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51642 divided by 3?\nAnswer: 17214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 273 and -111.\nAnswer: -30303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/11)*c*c**(-1\/16)*(c**(1\/2))**(2\/27) assuming c is positive.\nAnswer: c**(3767\/4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -758*g**3 + 262*g - 721*g**3 + 64*g wrt g.\nAnswer: -8874*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1945890, -3891748, -5837604, -7783458, -9729310?\n\"Answer: n**2 - 1945861*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/(-27)*3*6\/(-138).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 3. Let g(n) = -4*n + 6. Let p(d) = -d**3 - 73*d**2 + 4*d + 297. Let z be p(-73). Determine z*w(t) + 3*g(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (-2 - -3) + -10 + (-143 - -164).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/4 - -2)*-4. Suppose f - x = -2*f - 4*n, 4*f = 4*n. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*m**4 - 2*m**3 - 14*m**2 + 2805*m wrt m.\nAnswer: -504*m**2 - 12*m - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -7. What is the nearest to 1 in -2, y, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*k - 24. Let r(x) = -x - 5. Let j be r(0). Let b = j + k. Solve 3*l + 3 + 3 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 25, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*z + 178*z + 65 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 5 + -9 + (-41 - -38)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011.4290639 take away 50?\nAnswer: -1061.4290639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 70*q + 3. Suppose -7*b = -2*b - 4*x - 2, 4*b + 2*x - 12 = 0. Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((180\/(-75))\/(90\/(-200)))\/(4\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1343187.2 from -190.\nAnswer: 1342997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -53. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -92*p**2 - 245*p + 1388. Give y(-6).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -97, -237, -433, -685?\n\"Answer: -28*r**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 114320 (base 6) to base 5\nAnswer: 310211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 3)*(y + y - 6*y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63a95 + -1dc?\nAnswer: -63c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 7. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -533917.749 + 24.749. Let n = -533886.19973 - p. Let m = n + -6.8. What is m rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9228*c - 9652 = 9190*c. What is the remainder when c is divided by ((-1)\/((-3)\/(-111)))\/(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.32816m?\nAnswer: 8328160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -90*-0.1378\nAnswer: 12.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1884)\/56*(-4308)\/(-153765). Let j = -1\/3417 + r. What is the common denominator of 34\/5 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 22*v - 232\/3.\nAnswer: -2*(v + 4)*(v + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10396 - 10395.7. Let m = -0.105 + 4.405. Which is the closest to 1? (a) m (b) i (c) 2\/13 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 1515. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42516445 * -4.\nAnswer: -170065780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - -4022435?\nAnswer: 4022153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2713 not equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqoqhzzv. What is prob of sequence gzo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -959\/8. Suppose -3 - 13 = -4*m. Suppose -1 = -m*c - 5. Are c and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -484 and -3.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240115 is divided by 30014.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let g(i) be the second derivative of 13*i**3\/2 + 5*i**2\/2 + 3*i. Let m(f) = -g(f) + 6*t(f). Is 24 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 6*n + 5. Let l be i(6). Let p be 816\/14 - (-4)\/(-14). Is p\/l - (-14)\/35 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17*c**3 + c**2. Let o be m(1). Let b be -3 + 1 - (2 + -6). What is the greatest common factor of o and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let l(z) be the first derivative of z**3\/3 - 12*z + 8. Let g(m) be the first derivative of l(m). Give q(g(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1637 - -1636.9999317. What is d rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aassisqsviiinnis. Give prob of sequence avaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/681, 0.1, -3?\nAnswer: -2\/681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*g - 6, k + 14222*g - 14225*g = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -28) + -13 + 1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, f: 4, p: 5}. What is prob of picking 1 l and 3 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(-2*m**4 + 6*m**4 + 0*m**4) - m - m**4 + m + 0*m**4 + 0*m**4 + 4*m**4 - 2*m**4 + 4*m**4 - m**4 + (1 + 0 - 3)*(-2*m**4 - 3*m**4 + 3*m**4).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-8) + 12\/(-8). Let z be (-2)\/(-3)*12 - t. Solve j - 25 = -z*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47504*g - 2291 = -47583*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -0.05 (c) 1 (d) 15 (e) -135 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1410211210 (base 5) to base 11\nAnswer: 203a37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113699*j - 113699*j + 6567*j**4)*(3*j - 4*j + 2*j).\nAnswer: 6567*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 34*x + 3. Let s(b) = -18*b**2 + 0 - 29*b + 2 + 52*b + 21*b**2. Give -5*l(d) + 7*s(d).\nAnswer: d**2 - 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 811*t**2 - 5*t + 2 - 1521*t**2.\nAnswer: -2332*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2195 and 10975?\nAnswer: 10975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -35*c + 1. Let l be q(-1). Suppose 0 = -5*y + 353 + 97. Calculate the highest common factor of l and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -13 + 1\/3*f**3 + 0*f + 0*f**2. Let j(g) = 8*g. What is j(y(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 8*x + 14. Let i(f) = f. Let p(k) = 6*i(k) - w(k). Suppose -5*n - u - u = 23, -5*n - 7 = -2*u. Let z(v) = v**2 + v + 5. Give n*p(s) - 8*z(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a44682 - 4?\nAnswer: -a44686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8722 and 356.\nAnswer: 17444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -2465713.\nAnswer: 135\/2465713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36325.\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:19 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 159 = 3*a - 53, 5*a = 2*m - 228. Let c = -72 + m. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48026659 and -7530.\nAnswer: 48019129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 20*x**2 - x. Let l be j(-1). Let c = -1165\/444 - 1\/888. What is the common denominator of c and (9\/l)\/(4 + -5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 12*b - 35. What is the units digit of (-2)\/b - 2364\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - (-11 + 3) - -4 - (-1 - 2). Calculate the highest common factor of 991 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.85378 rounded to 1 dp?\nAnswer: 668.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160.2 + 160.2. What is the fourth smallest value in -4, 1.7, k, 1, 4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 1, f: 3, i: 2, d: 2, r: 2}. Give prob of sequence ldli.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-32815737.\nAnswer: -65631474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -795 - -1142. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(125) - 2*sqrt(125)) + 5)**2 + -2)*-6*6.\nAnswer: -7344 + 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c - 172*c + 5006 = -166*c - 894 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Suppose -g*j + 5 = -5*f, -4*j + 16 = -4*f + 4. What is the units digit of 4 - (-43 + f) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-18)\/(x**7*x\/(x*x**(-3\/7)*x*x)) assuming x is positive.\nAnswer: x**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*1\/21)\/(3*1)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 7 + 43 + (1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -12*y**4\/11 - 798*y**3\/11 + 15348*y**2\/11 + 7872*y\/11 = 0.\nAnswer: -82, -1\/2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7638.\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121201120211101 + -12?\nAnswer: 1121201120211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + (-8 - 3) + 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -188, -4, 0.068275, 0.05, 0.1?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r + 15*r + 56. What is the remainder when r is divided by 6\/9 + (-4)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9231 or 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 288*p + 79. Let s(j) = 50*j. Give s(b(m)).\nAnswer: 14400*m + 3950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221496654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 579857135 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 0*t)*(t - 9*t + 14*t) - 36*t - t**2 + 41 - 80 + 23*t**2 + 38.\nAnswer: 10*t**2 - 36*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1281 (b) -43 (c) -1 (d) -2\/9 (e) -2 (f) 1\/3 (g) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -19*y**3 - 754*y**2 - 1219*y - 186. Determine j(-38).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 4*q = 15, 0 = -4*w + 2*q + 32. Let m = 330 + -274. Suppose 3*j + m = w*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*(6\/(-3) - -2). Solve -5*y - 19 - 6 = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 146 = -5*f, -2*b + 7*b + 110 = -5*f. Suppose -4*h + 2*h - 6 = 0, -2*h = -4*u + 122. Let q = u + f. Solve 4*l = -3*j - 1, 7 = q*j - l - 3*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 15. Let h be 1\/2 + 6\/s. Which is the nearest to h? (a) -1 (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1599 - -1609. Solve 52 - 42 = -k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -44.4. Let s = n - -0.4. Which is the closest to 0.7? (a) -0.1 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 401348*b**2 + 1296557 wrt b?\nAnswer: 802696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -13251, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = -15, 0 = -4*l - 2*n - 22. Let y = 6 + l. Let g = 1 + y. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/5 + -11\/5. Suppose 8*p = 5*p + 9. What is the closest to -0.1 in j, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -10 + 4 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20249.04 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 + 9\/2. Solve -3*j + 5 = -4*j + 4*v, d*j = -5*v - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -8*q**3\/9 - 23120*q**2\/9 - 23114*q\/9 - 642 = 0.\nAnswer: -2889, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*w - r - 1, -1 = -w + 2*r. Let m be 6\/(-2*w\/3). Let z(y) = 5*y - 3. Let x be z(6). What is the highest common factor of m and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*84\/(-144)*5\/(-1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**2*l**2*n + 116*g**2*n**3 + 27*g*l**2*n**3 - 2*g*l**2*n + 3*l*n**2 wrt n?\nAnswer: 696*g**2 + 162*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/((sqrt(252)\/sqrt(4))\/sqrt(7)))\/(sqrt(100)\/(1*sqrt(40)\/sqrt(4))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -15, -0.5, -0.3, 5 in decreasing order.\nAnswer: 5, -0.3, -0.5, -15, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 10057 - 1503. Let q = -668 - h. Put -2, q, 2, -1\/3 in descending order.\nAnswer: 2, -1\/3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65836202 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -529 less than or equal to -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -46678 < -46674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -627 - -749. Suppose i = d + t, -45 - 227 = -2*i - 5*d. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uss when three letters picked without replacement from {u: 5, s: 3, l: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.94 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 59.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2)*-1 + sqrt(2))**2 + (sqrt(18)*1)**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.096 - -74. Let v = -0.196 - k. Which is smaller: 1\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 1, -2, 14, 0.1, 0.34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpprlpffnllpqfp. Give prob of sequence prfp.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3*w**3 + 3*q**3 + 1372*q**2*w**3 - 106845*q**2*w**2 + 25*w**3 wrt w?\nAnswer: 12*q**3 + 8232*q**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsxw when four letters picked without replacement from {s: 1, t: 3, z: 1, x: 8, y: 2, w: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -0.08, 0.08, 0.5, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 1 g when three letters picked without replacement from {d: 1, l: 1, g: 1, f: 1, p: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 23, 37, 51, 65?\n\"Answer: 14*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/21)\/(2\/(-6)) - 203. Let z = v + 387. Suppose 2*d - 3*r = 176, -5*d - 3*r + 297 + z = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*k + 3*k + 1012 = 0, 0 = -g - 3*k + 1012. Does 44 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 10*i - p - 322, 0 = 2*i - 4*p - 228. What is the remainder when i is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85681000 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a96 (base 15) in base 5?\nAnswer: 141031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 2. Let f be g(4). Let d(j) = 0 + 13*j**2 - j**3 - j - 1 - 2*j**2. Is d(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011010011101011001 + 100?\nAnswer: -1010011010011101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000444 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*l = -9, 5*t + 4*l - l = -65. Let w be (24 - 3)\/((-2)\/t). Suppose -y - 3*y + w = 0. Calculate the greatest common factor of y and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202075859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632780 to the power of 1\/2, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 5*f - 3*f + 9*f. Let u(n) = -n + 2*n**2 + n. Calculate u(a(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 7*k + 5. Suppose -4*v + 3*v + 2*c - 2 = 0, -2*v = 5*c + 22. Let r be ((-2)\/v)\/((-2)\/(-24)). Let n be (-1)\/r - (-34)\/8. What is t(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from moomwmnoqomnnmn?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 26 = 4*v, -v + 3*n + 2 = 13. Let x = v - -12. Suppose -a + 44*o - 42*o = -2, -2*a - 4*o = -12. What is the greatest common factor of a and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592339.7ns to milliseconds.\nAnswer: 0.5923397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 - 280 - 22*k**3)*(-6 - 5*k + 19*k + 8) + 2*k**4 - k**4 + k**4.\nAnswer: -306*k**4 - 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (-8)\/(56\/(-21)). Let g be (z\/45)\/((-28)\/21). Which is the second biggest value? (a) 5 (b) g (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*r - 1164 = 0, -4*r = -4*h - r + 1580. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55140073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40831 * 2816.\nAnswer: 114980096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19*(h\/h**(-15))\/h)**(-2\/3) assuming h is positive.\nAnswer: h**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2205 = 27*a + 176*a + 1043 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -339 and -43.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -76957*a + 59256884. What is p(770)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 - 43*z**2. Let m(f) be the third derivative of f**5\/12 - f**2. Determine b(m(a)).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 2*t + 4*t**2 + t - 3*t to the form s + h*t**2 + f*t and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 10) + 11 - (-88)\/14. What is the biggest value in y, -1\/2, -5, -4, -0.11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/24 - 26*h**2. Suppose 2*x + 15 = -x. Let u(v) = 5*v. Let g(z) = 5*z. Let m(s) = x*u(s) + 4*g(s). Calculate m(r(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 69.2. What is the closest to 1 in -12, k, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18601*m + 796042 + 747841 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258252?\nAnswer: 2, 3, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70330 + -35571. List the prime factors of w.\nAnswer: 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (7 - -1) + (3 + 34 - 36)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.9 + 7.9. Let g = f + 49.9. Let o = -5 + g. Is o bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d + h, d + 4*h + 8 = h. Let q = -29 + 33. Let g(n) = q - 8 + 0. Let y(a) = -a + 5. Determine d*g(m) + 3*y(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.128199 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)*((c\/c**(-1\/42))\/c)\/c assuming c is positive.\nAnswer: c**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 46. Let v be o(-11). Does 4 divide (-1967)\/v + (-12)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 + 180. Let z = u - -278. Calculate the remainder when 159 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 3*r - 11, 19 = -2*z + r. Let t(u) = -5*u**2 - 7*u + 13. Let n(o) = 4*o**2 + 8*o - 13. Let x(h) = 4*n(h) + 3*t(h). Give x(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 0*f + 0*f**2 + 3*f**3 + 0*f**4 + 0*f**6 - 19\/7*f**7 + 0*f**5 + 15. Find the third derivative of m(q) wrt q.\nAnswer: -2280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (8 - 61) + 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(-4)\/16*170\/(-366) and -41\/48.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f (base 16) to base 14.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 4265059?\nAnswer: -2132529.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12646811 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59059 and 6864.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.51 and 19.42784507?\nAnswer: 17.91784507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508436 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230131 (base 4) in base 12?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8073 from -207.\nAnswer: -206.1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -738 by 369.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.951143 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/15 - 23\/5. Factor -m - 56\/3*n - 98\/3*n**2.\nAnswer: -2*(7*n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 9*o - 132. Let v be r(16). What is the hundreds digit of (v\/18)\/(6\/(-7506))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -219, -499, -855, -1293, -1819, -2439, -3159?\n\"Answer: -u**3 - 32*u**2 - 177*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, v: 7, k: 3, f: 2}. What is prob of sequence kd?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615530 rounded to the nearest ten thousand?\nAnswer: 6620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-7) - (-6 + 426\/84). Let d(w) be the second derivative of 5\/6*w**3 + w - h*w**2 + 0 - 1\/12*w**4. Calculate d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(n**2 - 3*n**2 + 11*n**2) + (-n - 2*n**2 + n)*(-2 + 3 + 0) + 3*n - 3*n - 2*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -86*t + 83*t. Which is the third smallest value? (a) 0.3 (b) t (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1400672)\/272)\/(-13) + (-6)\/51. Solve -8*w + x = 436 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-493)\/(-29)*3\/(-39) and -19\/169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114859, 229625, 344221, 458563, 572567, 686149?\nAnswer: 799225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 729 and 3510729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/4 - (1127\/(-2) - (5 + 2))?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m - 3. Let c be p(-2). Let v = -10 + c. What is the highest common divisor of v and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + v)*(2*v + 2*v - 2*v + (-181 + 144 + 94)*(5*v - 6*v + 0*v)).\nAnswer: 110*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40354, -161158, -362460, -644230, -1006438, -1449054, -1972048?\nAnswer: -2575390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 54. Let k be t(-14). Solve -6 + k = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 33. Suppose 4*n + 4*h - 7 = 25, 4*n - m = h. Solve 2*y = -3*y + n*z + 5, -4*z = -2*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jujjrjjurjj?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d + 4. Let y be q(6). Let l = y + 0. Find the first derivative of 5 + 2*o - l - o wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 8*p + 2. Let u be t(-8). Solve 0*a - u*k = -2*a + 4, -4*a = 3*k - 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 1. Let l = m + -0.1. Let t = 7425 - 7423.5. Which is the second biggest value? (a) -2\/17 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-10527)*-29)\/(1*13\/(858\/126))\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -334. Suppose 2*f - 140 = -4*h, 4*f - 3*h - n = -2*h. Suppose -b + f = 4*b. What is the smallest common multiple of 8 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -8 + (-12)\/(-2). Let m = 1.018 - 0.018. What is the closest to m in 0.3, i, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-295)\/(-767) - 13920\/2730?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*h + 37, h + 8 = 4*x - 88. Let n(d) = 933*d - 3615. What is the remainder when n(4) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 2. Let d be z(-3). Let v be ((-4)\/(-4))\/((-14)\/4). What is the second biggest value in -0.3, v, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 0.1. Suppose -5*r = -j + 6, 0 = -5*j - r + 2*r - 18. What is the biggest value in j, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 2.7?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (951\/317)\/((-3)\/14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**5 - 11 + 10*a**2 + 11\/2*a**6 + 0*a**4 + 0*a + 0*a**3. Find the second derivative of b(v) wrt v.\nAnswer: 660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 3*m**2 + 6*m - 19. Let i be o(0). Solve -25 = s - i*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 178.1\nAnswer: 712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.4 (b) -19\/11 (c) 0.11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(112) + 0 - (sqrt(112) + -1)*3) + (sqrt(112) + 0)*-6 + 2*(sqrt(112) - -2*sqrt(112)))*-6 + -1.\nAnswer: -14 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, -3*o + 0*o + 10 = -p. Let h(n) = -4 + 4 + 6*n. Let u(v) = -38 - 39 - 5*v + 77 + 4*v. Determine p*h(d) - 5*u(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.023 or -1\/269?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19060799.3 rounded to the nearest 1000?\nAnswer: 19061000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10)*(-24)\/(-36)*-50. Suppose -a = -2*y + 5*d, 2*y = -d + 14 + 6. What is the highest common factor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.3 + -5.15. Let o = -0.03 + -0.12. Let y = o + f. What is the nearest to -1\/2 in y, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/2, 3, -737, -14\/65?\nAnswer: -14\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 4*l + 6*l)*(-2 + 2*l**2 + 2) + 0*l**3 - 2*l**3 + 0*l**3 - 83*l**3 + 128*l**3 - 73*l**3 + (-5*l**3 + 3*l**3 + 0*l**3)*(-3 - 1 + 2).\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2121511 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(25\/4)*v*v)**43\/(v**(-32\/3))**(2\/151) assuming v is positive.\nAnswer: v**(643063\/1812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11954 - -11956. Sort f, -1, 36 in ascending order.\nAnswer: -1, f, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - -3. Let s = -508\/5 + 102. Let m = 57\/47 + -533\/517. What is the nearest to m in s, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*l - 18. Let w(d) = 4*d**3 - 2*d**2 + 3*d - 3. What is the remainder when 402 is divided by w(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1060.22 - 1332.5. What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*2*160\/(-3600)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -9 + 3 + -2 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c. Let i(k) be the second derivative of -k**7\/840 + 55*k**4\/12 + 62*k. Let g(p) be the third derivative of i(p). Give g(q(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8161700 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = -54*o - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-9)\/3)\/6)\/(2\/(-12)). Suppose 21 = -5*v + 2*t, -i*t + 6 = 2*v - v. Let b = 11 - 6. Sort b, 3, v in increasing order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:52 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(10\/9))**(20\/3)\/((l*l\/l**(-2\/3))\/l*l**(-1\/3)*(l**0)**(2\/13)) assuming l is positive.\nAnswer: l**(-436\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1223)\/310 - 2. Let u = -166\/31 - o. Calculate the common denominator of u and -1\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4110 (base 6) to base 7.\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = l - 6, -3*l + 4*g = -24 + 28. Let v = -1\/213 + 49\/355. Which is the nearest to 1? (a) -1 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.46577, 0.2, 3, -1\/3 in descending order.\nAnswer: 3, 2.46577, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709928101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340527 + 36?\nAnswer: -340471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-47)\/(-1377523)*53?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(-x - x + 4*x) + x + 0*x - 3*x + 14*x + 6*x - 6*x to k + d*x and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246597155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -0.3. Let x = w + -0.31. What is the second biggest value in -0.6, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5901)\/(-105) - 36 - (1 - (-45)\/(-25)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870317214 a multiple of 1786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -110*b - 5523. Give q(-50).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 124, 4, -5 in decreasing order.\nAnswer: 124, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*v - 5*v. Suppose h = v - 7. Calculate the lowest common multiple of 36 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-763)\/28 + 1\/4. Let c = 2 - n. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from cgcgocoooooco?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:20 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2246 = -28*n + 19846. Is n at most as big as 787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 64*l**2 + 69*l + 1705. Does 17 divide h(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 234738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -1999, -6102, -13655, -25702, -43287, -67454?\nAnswer: -99247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -437\/6 - -73. Calculate the common denominator of 3\/(-4) + (-329)\/(-84) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03779 * 94.\nAnswer: 3.55226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.159 + 0.361. Round t to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a**(-2\/9)\/a)*a*a*a**(1\/4)*a*(a**(-6)\/a)\/((a\/(a**(-2\/23)*a))\/a) assuming a is positive.\nAnswer: a**(319\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345538 divided by -2501?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1664*3\/(-9)*3. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(76)*1)**2*-2 + -4.\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6)\/((-4)\/18). Is (3 + p + -2)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*o**2)*(1 - 2 - 1) - 2*o**2 + o**2 - 1 + 3 in the form i + x*o + l*o**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.96569 grams to nanograms.\nAnswer: 35965690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2243432 + -3?\nAnswer: -2243440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*v + 19*v + 11*v + 16*v - 6*v + v + (-4*v + 2*v + 5*v)*(-2 + 5 - 2) + 0*v + 3*v - 2*v + 2*v + 2*v - 3*v.\nAnswer: 71*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -50. Let d = r - -16. Suppose -2*o + 8 = 2*o. Solve -o*c - 4 = d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13173570 times -0.18\nAnswer: -2371242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/4 - 28\/2. Let f be 2\/(-2) + (-15)\/i. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*118.64016.\nAnswer: 830.48112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/120)\/(4\/(-10)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*4*7\/(-56)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**2 + 162 - 3*n**2 + 119*n**3 + 152*n**3 wrt n.\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (24 - (57 + -29))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8789 + 8139. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -7752?\nAnswer: 7751.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3))**2*-1 - (0 + sqrt(500)).\nAnswer: -10*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + a - a + (-39 + 6 + 18)*(3*a**3 - 5*a**3 + 0*a**3) as w + n*a + r*a**2 + o*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) 1\/6 (c) 0.1 (d) -103\/7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1120*-0.38\nAnswer: 425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2\/37)*w)*(w\/((w**(-9)*w)\/w))\/w*w)\/((w*w**(2\/27)*w)\/(w**(-7)*w)))**16 assuming w is positive.\nAnswer: w**(15664\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2299) + 4 + (sqrt(2299) + 0 - sqrt(2299)) + sqrt(2299)) - (((sqrt(2299) - sqrt(2299)*-1)*1 - sqrt(2299)) + -5)) + 5)**2.\nAnswer: 4004*sqrt(19) + 388727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 4*b**2 + 4*b + 3. Let g be u(-2). Let a = -25 + 26. Let t(c) = c**2 - 1. Let w(m) = 6*m**2 - 5. Determine a*w(h) + g*t(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 - 6 - (266 + -276)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 - q**4\/12 + 41*q**2. Determine j so that m(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51573703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 8*z. Let n be b(-3). Suppose n*w = 8*w - 60. Calculate the highest common factor of w and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 20, -l = r - 26 - 17. Let i = 90 - l. Suppose -2*w - 14 = -2*x + 2*w, -3*w = -4*x + i. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060375859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 + 18 = 0. Suppose 0*w + 6 = 3*o + 3*w, o - 22 = 4*w. Let x be (10\/15)\/(2\/o). Solve -5 - f = x*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:12 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -1\/5*f**5 - 1\/18*f**4 + 4\/3*f**2 - 4 + 32\/27*f**3 + 7*f + 1\/27*f**6. Let o(t) = 0. What is t?\nAnswer: -1, -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -73.29.\nAnswer: -73.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.05 + -0.97. Let m = 102.98 + -103. Let l = t - m. Which is the biggest value? (a) 2\/5 (b) 4\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9511919 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*l**2 - 49*l**2 + 42*l**2)*(4*l**2 - 2*l**2 - 3*l**2).\nAnswer: -43*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-45)\/(-604)) + (-11)\/99. Calculate the greatest common factor of p and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -42*k + 254. What is p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*m**3 - 18100*m**2 - 85616*m + 19920.\nAnswer: -4*(m + 5)*(m + 498)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 250577830 and 3340.06.\nAnswer: 250581170.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19272 is divided by 876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by (-6)\/10 + 1 + (-1602)\/(-45)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = 0, 3*r - 5*v - 3 = -3*v. Suppose -5*u = r*u - 40. Let g(y) = 4 + 0*y**2 - 3 + 4*y**2 - u*y**2. Calculate g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + (-102)\/(-18))\/((-4)\/3). Which is the third biggest value? (a) -0.03 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-16)\/924)\/((240\/36)\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13766460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035204 to 6 dps.\nAnswer: 0.000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.11, -2\/21, 1\/9, 0.08?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 30 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 2*r + 4. Let x(l) = -7*l**2 - 3*l - 5. Let p(s) = 3*s**2 - 30*s + 5. Let u = 109 + -99. Let o be p(u). Determine o*t(j) + 4*x(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 + 48*i**4 + 116*i**3 - 48*i**2 - 112*i = 0?\nAnswer: -2, -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 394319928 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 471253*n + 4*n**2 - 471253*n. Let z(s) be the third derivative of -7*s**5\/60 + s**2. What is y(z(v))?\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)\/(r**(-4)\/r))**(-46) assuming r is positive.\nAnswer: r**(-1886\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 120811*98.8\nAnswer: 11936126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32556)\/195 + (-8)\/(-10). Let g = p + 166. What is the second smallest value in g, 2, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10219, 40887, 92001, 163561, 255567, 368019, 500917?\n\"Answer: 10223*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3569 and 686581.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 63*x**3 - 6*x**2 + 23*x + 1760. Let u(p) = -187*p**3 + 16*p**2 - 65*p - 5285. Let g(l) = -11*a(l) - 4*u(l). What is the derivative of g(n) wrt n?\nAnswer: 165*n**2 + 4*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 + 663*l**2 - 12978*l - 13640 = 0. Calculate l.\nAnswer: -682, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/8*12\/(-10))\/((-27354)\/752).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -0.42. Let b(o) = o**3 - o. Let l be b(0). Let j = -64 + 62. What is the second biggest value in r, -3, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134903 divided by 134903.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.226 - -7?\nAnswer: 24.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m + 1040 = -136 + 112 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.77 + -9.67. Let w = r - -8. What is the closest to 1 in -2, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 2\/5, 1, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 50 = -5*c, 2*c + 64 = 74. Suppose -m*x = 3*o + 10752 + 9868, -4 = -x. What is o rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14330*h**3 - 779*h**2 + 2*h wrt h.\nAnswer: -85980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1907 + 1908. Let m(w) be the second derivative of w**4\/12 + w**3\/6 - w**2\/2 + w. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21850*o**2 + 15902*o**2 - 58886*o**2 - 47425*o**2.\nAnswer: -112259*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 131*j**2 + 69*j + 49. What is q(-66)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**14\/f))\/f)\/(f**(3\/10)\/f))\/((((f\/(f\/(f\/f**(-4))*f*f*f*f*f))\/f)\/f*f)\/f*f*f\/(f\/(f\/(f\/(f*f**(2\/11))))*f*f)))**(2\/81) assuming f is positive.\nAnswer: f**(-421\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.85216112 + -146.14776088. Let d = i - -147. Round d to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 7*v - 9. Let h be a(6). Let l be 68\/140 - (-5)\/(-25). Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.28? (a) -1.7 (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(605)*-3)\/(-2*sqrt(11)*5))\/((sqrt(30)*-5)\/sqrt(6) - (sqrt(5) + (sqrt(5) - 4*sqrt(500)))).\nAnswer: sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.714 - -0.094. Let n = d + 0.5. Round n to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*d - f, 20*d + 8*f + 14 = 22*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/108)\/(1\/6)*16\/(-172)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1840 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124210*y - 2064 = -124339*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:12 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(2) + sqrt(288)*2)**2*-6.\nAnswer: 7502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7004*c = 6999*c - 115, 3*c + 69 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30164694*i**4 + 109*i**2 + 71065.\nAnswer: 723952656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvlmlhl. Give prob of sequence vl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40440, -40439, -40438, -40437, -40436?\nAnswer: -40435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 - 169. Let b = d + 1090. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 52402\nAnswer: -104804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, -5, -9, -50 in descending order.\nAnswer: 36, 1, -5, -9, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*j**3*o - 11277*b*j**3 - 8*b*j**2 - b*j*o + 691*b*j + 5*b*o - j**3*o - 72*j**3 + 5*j*o wrt j?\nAnswer: -6*b*o - 67662*b - 6*o - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 309 = 3*i, -8*o = -12*o + 2*i + 1264. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/23 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h - 1. Let z(n) = 5*n**2 + 3*n + 3. Suppose -x = 5 - 2. Suppose 0 = -2*i + 4*i - k + 6, 2*i + 2*k - 6 = 0. What is i*z(r) + x*g(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -629*f**2 + 46575*f - 2109. Calculate w(74).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 131.398. Let d = s - -9.398. Which is the third biggest value? (a) -4 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-10))\/o**(-2\/35)*o**(-17)\/o*o**7 assuming o is positive.\nAnswer: o**(37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 539 and 16857?\nAnswer: 9085923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85022497 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*g = 4, -g = 5*w - 5 - 12. Suppose -4*u + 15 = -b, -5*b - w = 2*u - 4*u. What is the remainder when 18 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -21*x + 29448. Let t = x + -719. List the prime factors of t.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10367 at least as big as -10366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -10781354?\nAnswer: -161720310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(56)\/sqrt(7)))\/(sqrt(252) - ((sqrt(252)*-1 - sqrt(252)) + sqrt(252)))*-6.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*t = -0*s + 11, 0 = 4*s + 4*t - 12. Let i be ((-2)\/(-4))\/((-5)\/s - -3). Let v(q) = 2*q**2 - q. Give v(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 3*d**4\/2 - d**3 + d**2\/2 + d - 1. Let t be (-6)\/9*(-3)\/1. Does 14 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 7}. Give prob of sequence dyyd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 763 = 11*g - q, -4*g + 5*q = -1032. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41f5d2 (base 16) in base 14?\nAnswer: 8074d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Let t = 43 + -19. What is the smallest common multiple of t and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let c(l) = -9*l**3 + 9*l**2 + 16*l - 5. Let h be c(-3). Let r = 272 - h. Is r less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2. Let f(k) be the second derivative of k**5\/40 + k**3\/2 + 2*k. Let h(p) be the second derivative of f(p). What is h(z(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 - 2*x + 6. Calculate c(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051350245 to seven dps.\nAnswer: -0.0005135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -247*v - 408. Determine k(-10).\nAnswer: 2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 52*x**2 + 2*x + 1. Let t be l(-1). Suppose 1 - t = -5*h. Suppose 30 - h = -d + 5*w, -2*d - w + 15 = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 45*n**2 + 369*n - 1479. What is l(4)?\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-3 + 5)*1. Suppose -3*i + 2 = -c. Let o be i\/4 - (0 + -1). Solve 3*h + o = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 166198841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-30)*(-6)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 9. Let m(b) = -3*b + 8. Suppose -3*v + 16 = v. Suppose v*d - 3*k - 8 = 0, -2*d + 0*k - 3*k + 4 = 0. Let g(s) = d*o(s) + 3*m(s). What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/861 and 133\/738?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 752420879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 5 = o. Suppose 0 = -5*c + 5*l - 10, 2*c - o = -3*l + 8. Calculate the smallest common multiple of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -49197\nAnswer: 49171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 3. Let v be ((-3)\/(-2))\/((-12)\/(-16)). Suppose r = 4*r - 5*y - 20, -4*y = v*r - 6. List the prime factors of x(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-24))\/(((-35)\/(-175))\/((-2)\/5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44724359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*n**3*o**3*v**2 - 16*n**3 + n**2*o**3*v**2 + 19*n*o**2*v**2 - o**2*v**2 wrt o?\nAnswer: -1134*n**3*v**2 + 6*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/60 - 4*h - 11. Solve u(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/4 (b) 3\/16 (c) 3 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 2*f - 2. Let x(t) = -71*t - 22. Let q be x(2). Let o = q - -160. Let k(n) = -n + 1. What is o*k(j) - 2*h(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + 4 + 2*sqrt(704) + -1 + sqrt(704) + -1)*-6.\nAnswer: -144*sqrt(11) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -4*z**3 + 69*z**2\/2 + 18*z - 245. Factor i(n).\nAnswer: -3*(n - 6)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 1 + 1)*(664 - 1111 + 3694) - 2*b - 3 + b + 2*b in the form t + i*b and give i.\nAnswer: -6493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -949\/280? (a) -2\/19 (b) -0.3 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/30 and 5\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l + 3*x + 24, -15 = 5*x. Suppose 22 = 4*i + 2*t, 0*i - l*i + 3*t + 55 = 0. Solve 25 = -5*y, -5*u - 4*y + i - 33 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128684 or 128676?\nAnswer: 128684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113 + 2*a**3 + 123*a**2 - 123*a**2 + (5*a - 4*a + 2*a)*(3*a - 3*a - 2*a**2).\nAnswer: -4*a**3 - 113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h. Let f be x(-4). Let w be 0\/((-18)\/((-126)\/(-35))). Let i = 0.09 - -4.91. Which is the third biggest value? (a) f (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/45)\/(1\/(-6)). Suppose m*g + 17 = 45. Suppose 3*u + o - g = 4, 3*u + 4*o = 27. Calculate the highest common divisor of u and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 6*p + i, 565*i = -5*p + 563*i - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-47328)*-51*-1\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 964113058 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4072 is divided by 99?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597, -2376, -5343, -9498?\nAnswer: -14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 72909\/(-6)*(-72)\/54 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltstllwttwtltylytyst. Give prob of sequence twyt.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/7 - 10*y**4\/7 + 10*y**3\/7 + 10*y**2\/7 - 12*y\/7 = 0. What is y?\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 6*i**2 + 2*i**2)*(12*i + 3 - 3)*(10*i - 2*i - 2*i + (-5 + 4 - 1)*(5*i - 4*i - 3*i) - i - i + i + 2*i - 1 + 1 - i + 0*i + 0*i - i + 3*i - 3*i).\nAnswer: 216*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1346*p**2 + 6. Let t(n) = 1345*n**2 + 9. Determine -3*c(u) + 2*t(u).\nAnswer: -1348*u**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/19)\/r**2)\/(((r\/(r*r**4))\/r)\/r)**(-6) assuming r is positive.\nAnswer: r**(-723\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 w when four letters picked without replacement from {f: 9, w: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -182aaa5 + -57?\nAnswer: -182ab1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-60))\/((-1)\/(-4)). Suppose -72*g + 73*g + 2 = 0. What is the nearest to -0.02 in 3, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 27 = 27 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75351 and -0.2.\nAnswer: 75350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*i + 3*i. Let g be (-20)\/5 - 10 - i. Let k(f) = 2*f + 33. Let j be k(g). Solve -q + j = -0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6850)\/75350 + (-4)\/22*181?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i + 2. Let j(k) = 799*k + 85. Let h(d) = 2*j(d) - 85*r(d). Let c(x) = -x**2. Determine h(c(g)).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000462309 to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 7:13 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*t + 20, 35 = 4*p - 4*t - 5. Let x = p + -7. Let f = -18411 + 18415. Solve 16 + 12 = -f*d + 4*o, 0 = -o + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2632 + 3?\nAnswer: -262d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 542 - 82 = -37*r for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/((-2)\/6). Suppose 13 = -z*l + 70. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -0.1, 67, -1.8, -3 in decreasing order.\nAnswer: 67, 7, 5, -0.1, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 2*i - 1. Let v be p(-1). Let d be 16\/4 + v - 3. Suppose -d*m = -2*m - 70. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 36. Which is the second biggest value? (a) -1 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0319476765 to 5 decimal places.\nAnswer: 0.03195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 84 = 8*o. Let l = o - 33. Calculate the remainder when 13 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 41.8. Which is the third biggest value? (a) k (b) 1 (c) -18 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*o - 1 - 490*o + 0 - 489*o + 1464*o.\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 8*z**2 + 7*z + 10. Let w be r(7). Let f = w + -7. Suppose -n + 13 = 2*i + 2*n, f*i + 3*n = 24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 10111001010011?\nAnswer: 10111000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999*o - 1358*o - 21153 = 0 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190866297 rounded to 7 dps?\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 0.142\nAnswer: 0.01988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -66.066. Let u = m + -0.006. Sort u, 4, -2, -5.\nAnswer: -5, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 + (54\/(-9) - (-12 - 5\/(-1))) is divided by 2\/(-7) - (-366)\/7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4 - 7\/(-2))*(-26 + 12) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 174433?\nAnswer: -17442a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1480. What is the hundreds digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -52. Calculate the lowest common multiple of j and (4 - 2) + (-14)\/(-35)*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1439419515 and 1439419514 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16 - -0.96. Let h = 43 + -43.3. Put a, h, -0.4 in decreasing order.\nAnswer: a, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4767 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5234, -41442, -139578, -330602, -645474, -1115154, -1770602, -2642778?\n\"Answer: -5160*q**3 - 4*q**2 - 76*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*y**4 - 12*y**3 - 5708*y**2?\nAnswer: 3552*y - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -3*p**5\/20 + p**4\/8 + 11*p**3\/2 - 167*p**2. Find the first derivative of l(f) wrt f.\nAnswer: -18*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c + 24 = -149*c + 74*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(-6)*34\/(510\/(-315)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 558649.3 and -1617.5.\nAnswer: 557031.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkookkookkkkok?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one quarters of a hour?\nAnswer: 1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose -2*c + 4*v - 18 = f, -c - v = -4*c - 2. Does 17 divide c*18 + 2 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 f when four letters picked without replacement from {r: 2, f: 7, x: 2, k: 6, p: 1}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/864 and -125\/166646112?\nAnswer: 1499815008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19\/(-14)*-16 - (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.4. Let t = -23 + 38. Let k = 17 - t. Put k, 1, p in ascending order.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9723 - -7318?\nAnswer: 17041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:18 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445*-2330.\nAnswer: 1036850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195 times -3?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a10 (base 12) to base 13.\nAnswer: -879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11328?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 21 - 5*m - 21.\nAnswer: -m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*sqrt(320) - (4 + -1 + -1*sqrt(320)).\nAnswer: -40*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -859*g - 855. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 75 * -10.07\nAnswer: -755.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:05 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 884881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14299 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6172.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/(3\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/15, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 18*x**2 + 11*x**2 + 2*x.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11077248*s - 6. Let k be n(-4). Let q = -23008998 - k. What is q rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -635 - -635. Suppose -4*u + 2476 = p - 784, -4*p + 16 = q. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -199 + 0*s**2 - 2*s**2 + 197. Let t(w) = -4*w**2 - 5. Determine 2*t(p) - 5*x(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*n - 3*n. Let h = n + -7. Let p = 10 - h. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 0*s + 29*s**2 - 9*s**2 in the form k*s + y*s**2 + v and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c + 1\/30*c**5 + 0*c**4 + 0*c**2 + 0 - 1\/9*c**3. Factor f(a).\nAnswer: 2*a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -10. Let j = -11.7 + g. Let k = -4 + 3. Which is the nearest to 1? (a) j (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29234250 to the nearest one hundred thousand.\nAnswer: -29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 2378*p**2 + 3665*p**2 - 7248*p**2 + 4*p.\nAnswer: -5961*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + 6936. Is p\/(-8) - (-3)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 119165?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444437973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5*r**5\/12 + r**3\/6 - 346*r**2. What is m(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/4 - 47997*d**2\/4 + 2050839*d\/2 + 1037418 = 0?\nAnswer: -16084, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369297 is divided by 586.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 107*h - 113, 5*h - 63*b - 10 = -59*b + 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3*u**2 + 25*b**3 - 3*b**2*u - 3*u**2 wrt u.\nAnswer: 6*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -3*t - c, 16*t + 2*c = 21*t - 350. Calculate the smallest common multiple of t and 960.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11114510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2\/11 (b) 2\/69 (c) -0.04 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p - 3*p + (0 + 0 + 2*p)*(1 - 4 + 2) + 2*p + p - p + 206*p + 1147*p - 163*p.\nAnswer: 1191*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*v**2*z + 18036795*l*z + 2*v**2*z + v**2 - 337*v*z + 2*v + 6*z - 63 wrt l?\nAnswer: -v**2*z + 18036795*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-9\/10)*(u*u\/u**(-11)*u*u)\/u assuming u is positive.\nAnswer: u**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 34 = 5*y, 7*t + 2*y - 82 + 4 = -16*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1011000 (base 2) to base 10\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z - 13*z**2 + 4*z**2 + 19*z - 6 + z. Let r = 8 + 5. Let u(y) = 4*y**2 + y + 3. Determine r*u(k) + 6*c(k).\nAnswer: -2*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1340342 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + l + 4 + 3*l)*(l**2 - 3*l**2 - 2*l**2) to the form v*l**3 + r*l + u*l**2 + z and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 - 37. Suppose 5*p - y = 51. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -132, -15, 0.5, -21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1443.\nAnswer: -1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:59 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2068 by -2.\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5063 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 0.3 (c) 2 (d) -65 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/39)\/((-2488)\/(-32344))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869505?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 13. Let w(r) = r**2 - 4*r - 7. Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-8)*6\/40. Suppose -3*h = 5*l + 2*h + 25, 5*h + 20 = 0. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4) - 0)*(-3824576)\/672 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2405 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - (5 + -14 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309591 is divided by 51598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*p + 12. What is the third derivative of z**2 + 14*z**p + 12*z**2 - 27*z**4 + 14*z**2 wrt z?\nAnswer: -648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-28))\/(43 - 199409\/4636).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*f + 17, -5*s + 2*f = -2*f - 10. What is the tens digit of (-6704)\/(-32) + s\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 16155?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00251933 to 5 decimal places.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 5, 30, -16?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(78)\/(sqrt(384) + sqrt(384) + -1*sqrt(384) + sqrt(384) - sqrt(384)) - (4 + (sqrt(325) - (sqrt(325) - (sqrt(325) + -1)) - sqrt(325))))**2.\nAnswer: -589\/32 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 50*j + 6 - 218*j.\nAnswer: -268*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -587 + 587.9. Which is smaller: 2.5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2394 (b) -1\/6 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427905*-0.2.\nAnswer: -85581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 7. Let h(t) = -t**2 - 5*t + 56. Let n(r) = -5*r**2 + r. Let d be n(0). Let j be (-3)\/(-3)*(-12 + 2 - d). Let k be h(j). What is b(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5561, -5\/3, 199, -1\/3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) + (-11106)\/(-99). What is the highest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 22*s - 16. Let k be c(-8). Let i(p) = -4*p + 3*p - p**3 + 46 + 2*p**3. Is i(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.057 and -2.\nAnswer: -4.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)*(-110)\/6. Suppose -5*h + 145 = v. Calculate the lowest common multiple of 8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o - 12. Let w(d) = -d**3 + 5*d**2 - 9*d. Let x be w(o). Let i = x - -26. Which is smaller: i or 11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 1, n: 1, i: 1, b: 1, l: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/5 - 81\/35. Let g be 22\/12*(-480)\/1320. Which is the closest to s? (a) g (b) -1 (c) 0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 424 and -0.06?\nAnswer: -25.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 10*k + 3. Suppose 0 = b - 2*g + 13, 20 = -0*b - 5*b + g. Let h(j) = j**2 - 10*j - 4. Let x(r) = b*h(r) - 4*w(r). Factor x(p).\nAnswer: 5*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/46))*f\/(f**(1\/8)*f))\/(f**0\/(f\/(f\/(f*f\/((f*(f\/(f\/(f\/f**(-6))))\/f*f)\/f)*f)))) assuming f is positive.\nAnswer: f**(-763\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*r = 9, 3*x - r - 2*r + 6 = 0. Suppose 5 = -q - 6. Let g be q\/(-33)*3\/(-2). What is the closest to x in 5, 9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47433*z - 47431*z - 5*n = -19, 5*z + 3*n = 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 9*u - 10. Let y be w(-7). Suppose 5*p = 5*q + 15, 0 - y = -2*p + 4*q. Suppose 163 = p*g - 97. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -22 - 30. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1439 + -1438.999627. Round p to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/16*75\/(-900). Let j = -2 + 1. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.597 * 0.279\nAnswer: -0.724563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 187, 737, 1647, 2911, 4523, 6477, 8767, 11387?\n\"Answer: -v**3 + 186*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/(-344)*16\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1338 + -1337.8. Let i(d) = -d**2 - 5*d - 2. Let q be i(-4). Suppose 8 = -4*o + 4*j, -q*o - 7 - 7 = -4*j. What is the second biggest value in m, -5, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 53.\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -523, -1060, -1599, -2140?\n\"Answer: -w**2 - 534*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -5*l**4\/2 + 7*l**3\/3 + 7*l**2\/2 + 28*l - 235. What is the thousands digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (45 - 5 - (-61 - -75))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4324968 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:14 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y - 6. Let r be h(0). Is 17 a factor of (-29)\/(-87) - (-1)\/(r\/(-406))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2. Let w(f) = -16768*f**2 - 4*f + 8423*f**2 + 6*f + 8572*f**2. What is w(m(i))?\nAnswer: 11123*i**4 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -58. Suppose -3*p + d = 4*y - y, 0 = y - p - 13. Let i(v) = -v**3 - 4*v**2 + 6*v - 1. Calculate the remainder when i(-6) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/4, 2\/3, -1\/2, -1 in ascending order.\nAnswer: -1, -3\/4, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526 + 39*r + 117*r + 35*r - 227*r + 35*r.\nAnswer: -r + 1526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4327?\nAnswer: -4\/4327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7342*i - 374451. Determine t(-51).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 120734 and -27.2229.\nAnswer: 120706.7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(2))\/sqrt(2) + sqrt(13))*3 + -2.\nAnswer: -2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16798 - 0.11.\nAnswer: -1.27798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 1 - (-8 - -2). Solve 9*s**5 - 2 - 4*s**2 + 4*s**3 - 2*s + 6*s**4 - 7*s**u - 4*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, 30, -3 in increasing order.\nAnswer: -3, -0.5, 0.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v**2 - 5*v + 1. Let b be x(-4). Let p(y) = 5 - b + 2*y. Let d(f) = -2*f + 1. Let l = -81 + 84. Determine l*p(o) + 2*d(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 658 - 16459\/25. Let l be ((-4)\/(-250))\/(12\/(-20)). Let h = l - y. Are h and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17453, -17204, -16815, -16292, -15641, -14868, -13979, -12980?\nAnswer: -11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 2752*s**2 - 3 + 3 + 693*s**2.\nAnswer: 2*s**3 - 2059*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 460*z + 477*z - 952*z. Let d(q) = 2*q**2. What is d(v(c))?\nAnswer: 450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4018*z**2 + 2. Let d(f) = 548*f. Calculate d(x(b)).\nAnswer: 2201864*b**2 + 1096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.92 + 0.5. Let h = q - -0.22. Which is the closest to -0.3? (a) -0.5 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**2 - 4*t - 4. Let l be s(-3). Let i = l + -107. Suppose 73*o - i = 70*o. Solve 7*p = 4*p - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let s(a) be the second derivative of 26*a**3 + 66*a**2 - 4827*a + 1. Determine -264*p(k) + 2*s(k).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33446 - -5010?\nAnswer: 40456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34710450 divided by -575?\nAnswer: 60366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i. Let k be l(1). Find the third derivative of 11*m**6 + 132 + k*m**2 - 132 wrt m.\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3353419 divided by 6\nAnswer: 3353419\/6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express (r - r - 2*r**3)*(2*r + 0*r - 4*r) + 27 + 3*r**4 - 108*r - 26 - 7*r**2 - 1478*r**3 + 1477*r**3 as j*r**3 + i*r + z*r**4 + c + b*r**2 and give i.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2 - 6*b**2 - 5 - b**3 - 9*b - 3. Let c = -123 - -117. Is t(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**3 - 2*n**2 + 2*n - 4. Let y(c) = c**3 - c**2 + c - 1. Let q(w) = -i(w) + 3*y(w). Let b = 1 + -2. Is q(b) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -940 times 513\nAnswer: -482220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240199 is divided by 6360.\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757 by -26.\nAnswer: 757\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 1\/4, 3163, -0.2, -9, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 - r - 1. Let t be (0 + 0)\/(10\/10). Suppose 2*a + t = 4. Calculate the remainder when z(-3) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 27, 17, -9, -57, -133?\n\"Answer: -t**3 + t**2 + 4*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -103120020202?\nAnswer: -103120020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07089 and 26.5.\nAnswer: 26.57089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let b(s) = 154*s**2 - 47649*s. Determine t(b(f)).\nAnswer: 154*f**2 - 47649*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - (0 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 3 + (0 - -16). Let i be ((-12)\/z)\/((-4)\/28). Suppose 4*s = -i + 34. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*y - 138*y + 53*y)*(-32 + 321 - 236 + 281 + 333).\nAnswer: -98716*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 75 - 69 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oood when four letters picked without replacement from dhhdooodoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7 and -79\/807921?\nAnswer: 5655447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*m**2 - m**3 - 170*m**2 - m**3.\nAnswer: -2*m**3 - 410*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*w + 216 = 0, -10*w + 214 = 4*z - 13*w. Calculate the smallest common multiple of 120 and z.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 242 or 240?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 19488b?\nAnswer: -194883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 27 + 21 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 15148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*f = 18. Factor -1\/4*m + 1\/4 + 1\/4*m**4 - 1\/2*m**2 - 1\/4*m**5 + 1\/2*m**f.\nAnswer: -(m - 1)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/3 - 1450*o**3\/3 - 75*o + 2. Determine x, given that i(x) = 0.\nAnswer: 0, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - l. Let a be v(4). Let n be (-10)\/(-25) - a\/10. Put 2\/9, -0.5, n in decreasing order.\nAnswer: 2\/9, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -47?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239 - -241. Suppose -h*c - 446 = -2602. What are the prime factors of c?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170871 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -563395 times 1.5?\nAnswer: -845092.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380706617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394420 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 60, -9, -103, 1 in decreasing order.\nAnswer: 60, 1, -1, -3, -9, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3140.1 and -0.06?\nAnswer: 3140.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3014 and 9316?\nAnswer: 102476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 5*l - 10576 = -9*r, 2*r - 2*l = 7044. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*t + 37 = 115, -u + 2*t + 21 = 0. Solve f + 3*f = s - u, 5*f + 3*s = -11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271*-1.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - g + 49 = 0, -28 = 241*t - 237*t + 2*g for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9)*-3*(-2)\/1. Is (2 - 2) + x + 218\/2 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l*l**4)**(2\/11)*(l**(-2\/7)\/((l**(4\/5)*l)\/l))**(-1\/10) assuming l is positive.\nAnswer: l**(-491\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -58*9*22\/(-396)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 + 159. Let q be (z\/5)\/(76\/570). Solve 1 - q = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -40. What is the remainder when (-3)\/(-18) - 0 - 15632\/(-96) - 7 is divided by w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10320, 0, 1 in descending order.\nAnswer: 1, 0, -3, -10320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtstsc. What is prob of sequence gcss?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29475981 + 20934982. Let n be -10 + 87\/9 + q\/3. What is n rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -649 + 384. What is the common denominator of 119\/48 and p\/10 + (-21)\/14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 7. Let v(g) be the third derivative of -g**4\/6 - 4*g**3\/3 + 2*g**2. Let c(b) = 6*o(b) + 5*v(b). Differentiate c(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-31 + 22 + 22)*(3*d - 2*d - 3*d)*(6484*d**3 - 6484*d**3 + 93*d**4).\nAnswer: -2418*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 45 = -19. Let j be (3\/6)\/(4*6\/(-864)). What is the common denominator of (306\/u)\/(j\/(-24)) and -47\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 508505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:00 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1194\/(-199)*2\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.169 - 21.369. What is the closest to 1 in -0.1, s, -61\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793423 is divided by 657?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 5*t**3 + 13*t**3 + (3*t**3 - 3*t**3 + 2*t**3)*(-5 + 4 - 1) to the form s + l*t + q*t**3 + a*t**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 0*z + 44*z.\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210711804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.5 (c) -11 (d) 196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82766, -82761, -82756, -82751, -82746?\nAnswer: -82741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 + 0.18. Let a = r + 0.51. Sort a, 2\/9, 0.3 in decreasing order.\nAnswer: a, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(16)\/sqrt(72) + sqrt(98) + 1)*-5 + 4).\nAnswer: -220*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**2 - 1. Suppose 21*t = 22*t - 1. Calculate k(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -3695*a**4\/12 - 2029*a**3\/6 - 992*a. What is the second derivative of o(l) wrt l?\nAnswer: -7390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 6*z**2 + 141*z - 914. What is the remainder when 119 is divided by s(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -8*d - 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*j = 138*j + 1499*j + 709*j + 62700 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11241432 (base 5) in base 6?\nAnswer: -2111354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7 and 2\/258827.\nAnswer: 1811789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 2*k)*(16 + 23 - 569)*(k + 3*k + k).\nAnswer: -5300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34220 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 5. Let d = 20 - 11. Let q be p(d). Suppose 3 = 2*g - 1. Are g and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/77 - -1546\/8701. Let m = -6671\/452 + s. Find the common denominator of m and -41\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13856*d**2 - 110850*d + 12. Give x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 577488 and 560.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 1484, -4 in decreasing order.\nAnswer: 1484, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31373 + -31098. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5318484 is divided by 443206?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 160*o. Let u(j) = -700*j. What is r(u(d))?\nAnswer: -112000*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 + 4 = 0. Does 9 divide (-2)\/(-2)*(y + 17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 8. Which is the closest to -5? (a) -4 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 877113338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363) + sqrt(363) + -3 + sqrt(363) + 1 + 0)**2 - (1*(sqrt(18) + (sqrt(18) - sqrt(882))) + sqrt(18))\/((2*sqrt(54))\/sqrt(9)).\nAnswer: 2*sqrt(3) + 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i. Calculate the lowest common multiple of 1 and 11 + i + (-5)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.356412 rounded to two decimal places?\nAnswer: 352.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254.6 + -18.4. Let u = x + 272.9694. Round u to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -7 (c) 0 (d) 3\/25 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023354 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 40231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-249)) + 376\/282*15\/(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 + 15070*x**3 - 2644175*x**2 + 2629110*x = 0. What is x?\nAnswer: 0, 1, 186, 2827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*g - 74*g + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3179 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1419)\/(45\/5490). Suppose -3*v - 172997 = -2*j - 3*j, 5*j = 4*v + u. Round j to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**5\/9 - 4*f**4 + 16*f**3\/9.\nAnswer: -2*f**3*(f + 4)*(5*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-170)*-2*10\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13704 + 273983\/20. Calculate the common denominator of v and (1 - 0) + (-23)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Which is bigger: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -67*u**6\/180 + u**5\/60 - 143*u**4\/24 + 21*u**3 + 6*u. Let w(s) be the second derivative of k(s). Differentiate w(n) wrt n.\nAnswer: -268*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - 5*x - 12. Let a be v(7). Suppose 0 = 5*l - 3*j + 15, l + a*j - 10 = 5*l. Solve 17*r - 12*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/27340 and 131\/125539812.\nAnswer: 627699060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1592745028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/sqrt(192))\/(sqrt(96)\/(sqrt(8)*-2)) + 6*(sqrt(20) + -4)*-5.\nAnswer: -121*sqrt(5)\/2 + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3 + 50607*j**2 + 206777.\nAnswer: 3*j**2 + 101214*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 761, 1726, 3099, 4892, 7117, 9786, 12911?\nAnswer: 16504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12.67. What is t rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 5*x + 3*x)*(x**2 - 2*x**2 + 2*x**2) + 260*x + 5686 - 22*x**3 - 5686.\nAnswer: -24*x**3 + 260*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -5 - ((-4)\/(-1))\/2. Let s(a) = -a**3 - a**2. Let g(t) = -2*t**3 - 1. What is l*s(n) - g(n)?\nAnswer: n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123 + 123 - 25*c to g + v*c and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 16, a: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -226.54 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -217*i**6\/30 - 23*i**5\/10 + i**3\/6 - 639*i**2. What is the third derivative of a(t) wrt t?\nAnswer: -5208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5*(-132)\/60\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 5400*f**2 + 48746*f - 43344 = 0 for f.\nAnswer: -2709, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32595.85 nanometers to millimeters.\nAnswer: 0.03259585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/11, -4\/27, -0.3?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5363093147 to the nearest one million.\nAnswer: -5363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47258 = -15*f + 48068 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505666219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -8*w**3 - 130*w**2 + 104*w + 34 = 0.\nAnswer: -17, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-22 + -27)) + -46 + 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*d**2*k**4 + d**2*k - 124*d**2 - 3*k wrt k?\nAnswer: -2868*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154695.12ms in minutes?\nAnswer: 2.578252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/10)\/(3\/(-15)). Let u be 394\/11 - 40\/(-220). Does 27 divide ((-27)\/d)\/((-3)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.013 (b) 1 (c) 9 (d) -2 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let t(g) be the third derivative of 2*g**2 + 0*g**3 - 18 + 7\/30*g**5 + 0*g + 0*g**4. What is h(t(i))?\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 51. Let b = 15.99928 + m. Round b to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16182?\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -h + 5, 4*s - 13 = 7*s - 5*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:18 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204 + 210. Let i be (3\/(-4))\/(k\/(-768)). What is the highest common divisor of i and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 7. Let b(p) = 3*p + 15. Let v = 28 + 1. Let h = -32 + v. Calculate h*b(z) - 7*r(z).\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = 3*r. Sort -0.1, r, 3\/10 in increasing order.\nAnswer: -0.1, 3\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 21\/(-4). Solve 4*y + s*l = 15, -y + 2*l = -0*l - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b42 (base 12) to base 3.\nAnswer: -100100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 16 + -17 - -28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*m - 45. Suppose -m*u = -4*c - 6 - 18, -3*u = -5*c - 24. What is the second derivative of -u*f + 11*f + 3*f + 6*f**3 + f**3 wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3179177\/28 - -113513. Let u = -115\/4 - h. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:27 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3266 - -5364. Suppose 16*v - k + 130 = 0. Calculate the remainder when v is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/423 and 83\/636.\nAnswer: 89676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 153296600 to the nearest one million.\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 2. Let f(m) = 150 + 3*m - 463 + 157 - m + 154. What is -6*d(l) - 7*f(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + t + 24, -2*s - 3*t - 2 = -7*t. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 145*i**2 - 15*i + 266. What are the prime factors of u(-15)?\nAnswer: 2, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -124. Is (c\/(-12))\/(((-24)\/(-53433))\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247789760 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = x + 29, 2*x = 4*x + 8. Suppose b*q = 4*r - r - 288, -4*r + 5*q + 384 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58445 (base 13) to base 14.\nAnswer: -42a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 735560891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79752829 is divided by 1650.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = 0. Suppose f = -a*f. Suppose 2*v = -f*v + 30. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-40)*(-7)\/((-140)\/25)*-186. What is the highest common divisor of 1023 and q?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 10, -4*s + p = -74 - 16. What is the lowest common multiple of s and 1\/(-4) - (-33)\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138 * -15.\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 - 33*y - 31. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 46. Let y be 9175\/8*(-42)\/(-16821). Let w = 9\/356 + y. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p - 236. Let z be o(23). Suppose 0 = z*g - 95*g - 28. Solve -4*a - g*v + 6 = 0, 4*v = 2 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**2 + 0*n**2 + 9*n**2 + (-3 + 1 + 1)*(2*n**2 - 2 + 2))*(-5*n + 5*n - 6*n**2) + (1 - 1 - 2)*(3*n**4 + 0*n**4 - 4*n**4) + 3*n**4 - n**4 - 3*n**4.\nAnswer: -149*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5616 + -5608. Is 161 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 71?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35884.6 millimeters in micrometers?\nAnswer: 35884600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8317.15 decades?\nAnswer: 831.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/185, 7\/3, -7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 45*g + 198 - 33 = 0. Put g, -1, -79, -6 in decreasing order.\nAnswer: -1, g, -6, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*t - 83 - 11 + 12 - 12.\nAnswer: -528*t - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -18211499.\nAnswer: -1821149.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1334 (base 5) to base 12.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/247 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 23. Let j(a) = -a**3 + 4*a**2 + 3*a. Let g be j(4). Let c be ((-15)\/6)\/((-1)\/g). What is the highest common factor of c and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1690 + 1560*f - 255\/2*f**4 - 3115\/2*f**3 - 5\/2*f**5 + 3635\/2*f**2 = 0 for f.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnnnnnmnnmnnnmnmm. Give prob of picking 3 m.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 88\/13, -4.3, 0.1, 4\/3, -4, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:47 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = 3*l. Let h(o) = -o - 1. Let m(t) = -17*t - 11. Let s(b) = -8*b - 5. Let d(q) = 3*m(q) - 7*s(q). Determine l*h(j) - d(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/z**(11\/4)*z*z))\/z**15 assuming z is positive.\nAnswer: z**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1896? (a) 2\/13 (b) -0.1 (c) -0.8 (d) -0.5 (e) -4 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a1602 - 5?\nAnswer: -3a1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b + 6*u = -77*b - 30, b - 2*u = 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4534 minus 217?\nAnswer: -4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let x(v) = -v**3 + 30*v**2 - 30*v + 31. Let u be x(29). Suppose 4*c + c + 10 = 0. Let k be c + (4 - 1) - u. Calculate s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30044 divided by -30044.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 170.\nAnswer: 7820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 6*s - s**2 - 4*s**2 - 9 - 8*s. Let l be j(-15). Let i be (20\/(-30))\/(1\/l). What is the highest common divisor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -883 + 888. Let x(u) = -14*u**3 - 15*u**2 - 14*u + 5. Let j(s) = 12*s**3 + 16*s**2 + 16*s - 4. Let v(z) = o*j(z) + 4*x(z). Factor v(w).\nAnswer: 4*w*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.7369 + 56?\nAnswer: 155.7369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + -1 + 0. Suppose -8 = -o - 2*c, o - 4*c + i*c = -4. Is o < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-3*(-2)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*v + 4*j, 20*v + 2554*j - 62 = 2552*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 3:11 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:56 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/12 - 2\/6. List the prime factors of h + (-2)\/2 + 136.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 26*q - 7. Let n be l(14). Let v = -17 + n. Suppose 2*t - 10 = -4. Solve v*j = -o - 2*o - 1, t*o = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from ataoetaka.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/35 + (-171)\/1491\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s**3 - s**2 - s + 1. Let r be b(1). Let k be 2\/r - (-6)\/39. Suppose 0 = f - 3*w - 14 - 16, k = -f - 3*w. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*((-15)\/12)\/(5\/(-14)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/(-52))\/5 + (-704)\/2717. Let l = 8 + -8.2. Suppose -2*h + 5*y = -3*h + 7, 0 = -3*h - 2*y + 8. Which is the closest to h? (a) r (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1129850980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353783\/498 - -23\/249. Let c = 7811\/11 - d. Find the common denominator of c and 59\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4271, -4274, -4277, -4280, -4283, -4286?\n\"Answer: -3*j - 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:57 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25648*m = 25711*m + 5*f + 955, -3*m - f - 23 = 24 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-23)*(-4)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 308*y**2 + 4525*y - 8. What is l(14)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284061*d + 197 - 284061*d - 2*d**3.\nAnswer: -2*d**3 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 559 - 2053\/4. Let x = 46 - i. What is the closest to -2 in x, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -9. Let o(v) = -3*v**2 - 7*v + 1. Let g(l) = 3*l**2 + 8*l - 1. Let q(t) = y*g(t) - 6*o(t). Suppose q(b) = 0. Calculate b.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let t(d) = 2600*d - 9 + 2*d**2 - 2600*d. What is a(t(j))?\nAnswer: -2*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003656 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11776.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*l + 217. Let v(n) = -13*n - n - l*n. Is v(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8 + 9*u**2 + 10*u**2 + 11*u - 27*u**2 - u**3 + 15*u**2. Let p be d(8). Find the second derivative of -56*f**4 - 15*f + 10*f + p*f**4 wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*m + 77. Let i(y) = 9*y - 8. Let f(l) = 17*l - 15. What is m*i(v) + 6*f(v)?\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6820542.9 microseconds?\nAnswer: 0.00189459525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35625 + 35617. Let l(g) = 4*g - 24. Determine l(q).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -19. Let p(y) = y. Let c be p(1). What is the biggest value in c, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:23 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4*u)**2*u\/(u**0*u)*u*u**(-7) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -450 - -921. Suppose 0 = 8*l - 1097 - a. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*d - 2*d = -2, -4*d = -2*b. Let u = 1601 - 1601. Solve r + 1 - b = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-5) - (-28)\/(-35). Suppose r = -13*b + 2209 + 49596. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/5 - 5429182*x**4\/5 - 7369009726453*x**3\/5 - 14737959731944*x**2\/5 + 10316594071996*x - 5895199094480 = 0. What is x?\nAnswer: -2714590, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 6055 = 13*n. Suppose n = 69*q - 64*q. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198867 is divided by 137429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/((-2)\/(-1))*(-19)\/38\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + 2)) + -1122 + 1119?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5755 (base 10) to base 12.\nAnswer: 33b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 216\/3*(-28)\/(-6). Suppose 0 = -2*x - 140 + c. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7)\/6*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385888 is divided by 337?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p - 15. Let s(n) = 4*n. Calculate s(z(q)).\nAnswer: 28*q - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = 3*p, -4*p = -4*m - 0*p - 40. Let j be (8\/80)\/(m\/(-10)). What is the nearest to 0.1 in -2\/7, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * -2887.31.\nAnswer: -8373.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = 2 + 21. Let v be (-1 - a) + (-8)\/32*2. Is 0 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from -3031554015.\nAnswer: -3031554050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -1)\/(30\/(-250)). Solve 2*q - 23 = -t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5850 and 2301?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*p - 3*a, -21405*p + 21407*p = -5*a + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, -8, -4\/7, 0.01, -1\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 + 21504*k**3 - 60163704*k**2 + 50452740352*k - 100664997888 = 0. Calculate k.\nAnswer: 2, 1904, 6942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 160 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.90180184 to 2 decimal places.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -295\/21 and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 2*x**2 + 46)*(0*x - 2*x + 5*x) - 3*x**2 + 3*x**2 + x**3 + (-3*x - 2*x + 7*x)*(-3 + 3 + 2*x**2) + 0*x**3 + x**3 + 0*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -268*s + 1083. What is q(6)?\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/87350475 and -32\/5250575.\nAnswer: 960855225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1895 + 5638. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkknknknknkknkknkkn. What is prob of picking 2 n?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 365926.5g?\nAnswer: 365926500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280427371.\nAnswer: 7, 4373, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - (2 + -5 + -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25115621, 50231251, 75346883, 100462517, 125578153?\n\"Answer: k**2 + 25115627*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 + 27. Let x be a(0). Is (-1 - -2) + (x - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c07 (base 15) to base 16.\nAnswer: -139cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-429)\/(-21450))\/((-25)\/98750)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 247*s + 1602. List the prime factors of z(31).\nAnswer: 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.63 + -0.03. Let l = -6.3 + 7. Let j = v - l. What is the closest to j in 0.3, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {j: 3, d: 7, k: 1, h: 1, x: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -6)*(-2 - -3). Suppose 13*y - 28 - 37 = 0. What is the third derivative of -41*w**y + 14*w**2 + 74*w**5 - 38*w**n + 0*w**2 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 + -2395\/8. Let d(h) = -7*h + 5. Let s be d(2). Let g = -12 - s. What is the second biggest value in g, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 42*o**2 - 42*o - 51. Calculate f(-41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000 (base 2) in base 5?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82724 and -0.03.\nAnswer: -2481.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*h + 162*h + 5337 = -228*h - 1607 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17475*z - 16980*z = 58410 for z.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/220 and -59\/2205020?\nAnswer: 24255220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421.8 - -1301.236161.\nAnswer: 879.436161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -105*m**2 + 9. Let l(p) = -7*p. Give c(l(r)).\nAnswer: -5145*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-172)\/(36\/8 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/24 + i**3 - i**2\/2 + 3. Let b(x) be the second derivative of g(x). What are the prime factors of b(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -515539059?\nAnswer: 515539073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 3, v: 5}. What is prob of picking 2 i and 1 v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 3 = -o. Calculate the lowest common multiple of 385\/42 - (-1)\/(-6) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16048 = 254*j - 250*j, -3*j - f = -12017. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 6. Let j be b(-3). Find s such that 7*s**2 + 4*s**2 - 25*s**3 + 9*s**j - 6*s**4 - 3*s**2 + 18*s**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**2 - 11455*z + 8580.\nAnswer: 5*(z - 572)*(4*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 5*b**2 + 4*b - 6. Let n(a) = 3*a**3 - 4*a**2 + 3*a - 5. Determine -6*n(u) + 5*z(u).\nAnswer: -3*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Suppose y*h - h - 66 = 0. Let v(a) = a**3 - 4*a**2 + 3*a - 4. What is the lowest common multiple of h and v(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 64*g**3 - 156*g**2 + 16*g + 208.\nAnswer: -4*(g - 1)*(g + 2)**2*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 3 + (-2 + 2 + 1)*(-95 - 65 - 160))*(-7*x**2 + 2*x**2 + 3*x**2) to the form k*x + d*x**2 + o and give d.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -222022?\nAnswer: 222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51)\/sqrt(3) - sqrt(17))*-2 + 2 + sqrt(425))*-5 - -3*(-1 + 2 + sqrt(34)\/sqrt(2))*-6)**2.\nAnswer: 2408*sqrt(17) + 32217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - 8, -4*v + 5*w + 420 = 0. Suppose 0 = -2*g + 6*g - v. Let z = 41 - g. Calculate the smallest common multiple of 18 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:37 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0813 * -0.02\nAnswer: 0.001626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/8 + 5*y**5\/12 + 5*y**4\/12 + 2*y**2 + 138. Factor s(z).\nAnswer: 5*z*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - -0.1. Which is the closest to -0.1? (a) -1\/3 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, -174, -783 in increasing order.\nAnswer: -783, -174, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40059 is divided by 413.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 2*g. Let p(c) = -28*c - c**3 - 55*c**2 - 2 + 7*c**2 + 9*c**2 + 23*c**2. Let n be p(-14). Let q(y) = y. What is n*q(l) + v(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s - 4. Let p be w(0). Let g = -0.89 - 10.51. Let l = -12.4 - g. Which is the second smallest value? (a) p (b) 0.2 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/60))\/z**(24\/5) assuming z is positive.\nAnswer: z**(-227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 + -596 + (-1 - (4 + 14))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 5 - 20) + 6 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4795561.263 - -46.\nAnswer: -4795515.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -49*j**3 + 17*j**2 - 30*j - 17. Let h(s) = -8*s**3 + 3*s**2 - 5*s - 3. Let a(f) = -34*h(f) + 6*o(f). What is the second derivative of a(z) wrt z?\nAnswer: -132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 21, -0.4, -154, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 1)*(-4*i + 3*i + 0*i) - i + 7 - 7)*(-6*i - 25*i**2 + 60*i**2 + 4 - 32*i**2) as b + y*i + r*i**3 + p*i**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxxxnxxxx. What is prob of picking 1 x and 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 160 = -r, -720 = -4*r + 35*y - 31*y. Let z = r - 175. Solve 2*a = -z*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5*u**2 - 2 + 4 - u**2 as f*u**2 + l + q*u and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2. Let x(i) = -2*i**3 - 14*i**2 + 15*i - 21. Let r(a) = -3*p(a) - x(a). Let f(j) = -j**2 + 6*j + 13. Let h be f(6). Give r(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -62. Suppose -o = -17*b + 15*b. Differentiate -9*c**3 + 27 + b - 7 with respect to c.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-8)\/(360\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 131, -3, -265, -697, -1341, -2239, -3433?\nAnswer: -4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let r(t) = 131*t**3 + t. Let s be r(1). Suppose 0 = 4*n + 108 - s. Sort m, n, -5, -1.\nAnswer: -5, m, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(8\/41))\/((1\/(-20))\/((-227)\/1135)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -86. Solve o*v - 31 = 4*c, 3*v - 23 - 12 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1\/608 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:29 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 + i**2)*(i + 0*i + 0*i)*(-7*i**2 - 6*i**2 + 7*i**2) - i**5 + 2*i**5 - 2*i**5 + (0*i + 0*i + 2*i)*(3*i**4 + 2 - 2).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 5. Let f be 42\/(-24)*(-4)\/1. Let j = 5 - f. Let y be -1*(j + -3) - -1. Give b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282629 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from qzatwkq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by 3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208 - -212. Solve d + 4 = -8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716726.\nAnswer: 2, 23, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 32. Let l = k + 21.9. Let o = -1.7 - l. Which is the smallest value? (a) o (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m + 0*m)*(5 - 5 + 3*m)*(2 - 4*m - 2 - 4*m + m + 5*m + m + 3*m - 3*m + 0*m - 3*m + 0*m + (3*m + 4*m - 2*m)*(1 + 3 - 5) + 2*m + 3*m - 3*m).\nAnswer: -84*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27131835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9611.159 litres?\nAnswer: 9611159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 - 15*d + 5. Let a be j(-11). Factor 6*t**2 - 1 - 41*t + 5 - 2 + a*t.\nAnswer: 2*(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 495, 2183, 4765, 8241?\n\"Answer: 447*s**2 + 347*s - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4450, -8868, -13286, -17704, -22122?\nAnswer: -26540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:51 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 805\/2, 2\/17, -12\/7.\nAnswer: -12\/7, 2\/17, 805\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 36470256?\nAnswer: 36470260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -1247*m**2 - 2437*m - 10994. What is the derivative of k(w) wrt w?\nAnswer: -2494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/4 + -12)\/((-10)\/20). Let i = -2 + 1. Let x = i - -4. Solve o*s = m + 22, x*s - 8*m = -4*m + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*-5*(-36)\/(-30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 12. Let h(t) = 88982*t + 2. Determine z(h(r)).\nAnswer: 88982*r - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, x: 1, j: 1, q: 1, i: 1}. Give prob of sequence qix.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x = -5*n - 14, 0 = -5*x - 5*n. Let j = 1 + 9. Solve 0*c = x*c - 5*l + 5, -5*c + 5*l = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3432*r**2 + 855 with respect to r.\nAnswer: -6864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vxff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 = -0*q - 3*i, -2*q - 3*i - 11 = 0. Suppose 4*n + 20 = 0, -q*h = -7*h - 3*n + 45. Solve -2*k + h = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -132. Solve 2 + 2 = w*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.5, 3\/5, 0, -1\/19 in increasing order.\nAnswer: -1\/19, 0, 0.5, 3\/5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-276)\/15)\/2)\/((-1)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1247 divided by 33203\nAnswer: 1247\/33203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*z - 1 = 0, 24*q - 20*q + 22 = -5*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k**4*r**2 - k*r**2 - 213*k - 1032*r**2 - 37*r wrt k.\nAnswer: -24*k**3*r**2 - r**2 - 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17028 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*x + 434, 0*g = 2*g - 5*x - 425. Let c(t) = t**3 - 3*t**2 - 6*t. Let v be c(5). What is the highest common divisor of g and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.32 and -153509470494.\nAnswer: -153509470492.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -50136*t - 1253361. Calculate q(-25).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3466 and 45205?\nAnswer: 45206.3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -369.7 - -367. Let f = 12.7 + r. Which is the closest to f? (a) 0 (b) -4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212548955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {k: 4, p: 1, c: 3, d: 4, n: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429305 divided by -185.\nAnswer: -85861\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:19 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((604044\/67915)\/(-378))\/(1\/(-5)*-3).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 17*u - 10*u + 63*u - 18*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(88) + sqrt(88))*-6*-3)\/(2*sqrt(1152)*1*-5).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + 70 + 71 + 19*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6881871*g**3 - 25219572*g**2?\nAnswer: -41291226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 12, -9, -48, -111?\n\"Answer: -k**3 - 2*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493 - 467. Let g = 43 + z. Calculate the remainder when 481 is divided by g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13604 <= -95233\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 0. Let p(o) = -o - 10. Let j be p(s). Let k = 20 + j. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 19 - 35 - x)*(0 - 6 + 0).\nAnswer: 6*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 1. Let p be a(-2). Let c(t) be the second derivative of t**4\/12 + 2*t**3\/3 + 2*t. Let i be c(-4). Solve 4*z + p + 3 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 335984744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8.9. Let v = -0.1 + p. Which is bigger: 0.5 or v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007176849 to seven dps.\nAnswer: -0.0000718","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/73046 - 146089\/219138. Let q = -730 - -48912\/67. Let g = q + -77\/335. Which is the nearest to i? (a) g (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1033\/6 in 0.3, -0.4, -67.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10990 - 13118 = -221*d - 28086 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137624 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at most as big as -606\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q)*(-2*q**4 + q**4 + 12*q**4).\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4089*-11\nAnswer: -44979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21680, -44447, -67214?\n\"Answer: -22767*u + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 10*a. Let j(f) = f + 2. Let n(c) = -c - 1. Let t(d) = -j(d) - 2*n(d). Let q(u) = -10*t(u) - w(u). Let m(l) = -2*l + 23. What is m(q(h))?\nAnswer: -4*h**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 19 = -4*v + 45, g = 4. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*q = -7, -1 = -5*g + 4*q - 11. Let c(o) = -o**g + o**2 - 2*o**2. Let i(k) = k. What is i(c(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.311 + -18.311. Which is the closest to -2.6? (a) -2\/11 (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 11}. What is prob of sequence yy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -645*d - 15708*d + 441531 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 26?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 25888 + 25888.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**7\/2520 + k**6\/144 - k**5\/20 - 115*k**4\/24 + 90*k**2. Let l(b) be the second derivative of h(b). Give l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, 107, -4, -2\/5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 5.1. Let o = -6 + 5. What is the second smallest value in -0.4, o, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 17. Let k = 22723\/11 - 2066. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 108 - 31*p.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126752 is divided by 21049?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, -0.12, 2\/9 in decreasing order.\nAnswer: 3, 2\/9, -0.12, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = u - 20, -4*m - 683*u + 682*u + 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - 437\/3. Which is the nearest to -1? (a) -1 (b) 4\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -425113*g*p**3 - 3072*p**3 - 11*p**2 + 5*p wrt g.\nAnswer: -425113*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*m - 28, -4*p - 2*m - 2 = -6*p. Let u be -2 - (14 + 3\/p). What are the prime factors of (u - -3)\/(-3)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.1 (b) 1\/3 (c) -0.0587 (d) -16 (e) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g + 1. Let l(n) = 2*n + 1. What is -2*c(j) + l(j)?\nAnswer: 2*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:27 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-22)\/4 + 4). Let a = -25 - -29. What is the third biggest value in j, -0.3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2 + 12*d**3 + 2*d**2 + 3*d**2 - 2*d**2 wrt d.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-208)\/(-585)))\/(11\/(396\/9))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, -5, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231 is divided by 201.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36045?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(37\/(-6) - 12\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2553, -5240, -8481, -12552, -17729, -24288, -32505?\nAnswer: -42656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6306*g + 81974. Calculate a(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389007910\/87423 + 2302\/12489. Let u = -4452 + c. Find the common denominator of 73\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*w + 2*l - 18, -2*l - 6 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21817 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/4 + -1. Let v = 7\/12 - m. Solve 2*i - 2\/3*i**2 - v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 86*g**2 - 41*g**2 - g - 6088 + 6089.\nAnswer: 45*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 4*m**4 + 10*m**3 - 11*m**3 + 197*m - 1 - 408*m + 205*m in the form d*m**2 + n*m**4 + o*m**3 + h + w*m and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/40)\/(406\/145)*1024\/(-12).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 2*y - 4 - y + 3*y + y. What is v(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (-66 + 15)) + -34?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*q + 26*q + 4*q - 3*q as j + k*q and give k.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3200*d = -1088*d + 1090*d + 19212 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -2\/15 (b) -12 (c) -5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.1827 tonnes to kilograms.\nAnswer: 519182.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-84)*1\/3)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176261441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315629206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:19 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 455667893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 = -3*v + 2*v, 2*v - 5*l - 19 = 0. Calculate the lowest common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*3*(-190)\/969?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lil when three letters picked without replacement from {f: 1, r: 1, l: 1, k: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12405603829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:31 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.095992 - -0.137531. Let b = u + -0.0425. What is b rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:42 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/171 + 332\/855. Which is the nearest to k? (a) 5 (b) -7\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2787737 by -19.\nAnswer: 146723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612440304 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.046 + -37.046. Let w = 15 + m. Let p = w + 21.9999845. What is p rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219888?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t - 119. Determine s(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59 - (30 + (-38 - 25))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 5*q - 1. Let o be n(-6). Let f(z) = z**3 - 6*z**2 + 6*z - 10. Determine f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4)*3 + -9 + 5889\/572. Factor -2\/11*b**2 + l*b - 4\/11.\nAnswer: -2*(b - 2)*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 1. Let z(u) = 6*u**2 + 9*u + 6. Determine 4*b(m) + z(m).\nAnswer: -2*m**2 + 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12273 = -2313. Let x be (-4)\/(-32) + s\/16. What is the greatest common factor of 38 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3298000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from eeeaeexeqvee?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**2*u - 13*h**2 + 49*h*u - 2*u wrt h?\nAnswer: -10*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 51*y + 100 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.2. Let a be 20 + -3 - (-1)\/1. Suppose 0 = -a*u + 20*u + 28. Is u greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c = 171*c - 101*c + 760 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553530 is divided by 539?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 686254*z + 2745008. What is l(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Suppose 88*f = 74*f + 42. Let q = -11 + 11. Solve q = -f*w - i + 8, i - z + 8 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 470*n - 139*n**4 - 944*n + 474*n + (n**2 + 5*n**2 - 2*n**2)*(n**2 - n**2 - n**2).\nAnswer: -143*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79555.\nAnswer: 5, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyaaaayyyyyyya. Give prob of picking 1 y and 1 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/5))\/(s**21*s))\/(s**(-2\/33)*s*s*s\/s**3) assuming s is positive.\nAnswer: s**(-3224\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.67926 millilitres to litres.\nAnswer: 0.04167926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12752*q*s**3 - 22*q*s**2 + 5*q*s - 10*s**2 wrt s.\nAnswer: -76512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -212 and -3.5?\nAnswer: 208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.21169 millimeters to nanometers.\nAnswer: 9211690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413.99 + 417. Let d = t - 0.01. Let i = -4.1 - -4. Is i < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 97, 106, 93, 52, -23?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1967 + 1969. Solve b + 1 = 3*n, b + y*b - 7 = -n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220388 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 - 131. Suppose 11 + 16 = 3*l + 3*r, 3*r = g. Sort l, -1, -2 in decreasing order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8.04583656\nAnswer: -7.04583656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 172 = 58*w - 188 - 144 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 890 - 886. Suppose u = 3*n - 4*s + 18, -2*n = 5*s - 6. Suppose 2*p - p = 0. What is the biggest value in -1\/4, p, -1, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*a + 6 = 2, -3*j - 2 = 4*a. Let r(l) = 2 + 3*l - 2*l - l**j + 1. Let n be r(3). Let h(x) = x**2 + x + 4. Give h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sws when three letters picked without replacement from sttswss.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350654655.\nAnswer: 3, 5, 13, 257, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 - 6 + 3*o + 6. Let d(t) = -t. Let i(y) = c(y) + 6*d(y). Let j(f) = 3*f**2 - 5. Let g(z) = z**2 - 1. Let m(v) = 5*g(v) - j(v). What is i(m(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 25*g - 16. Calculate x(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277831 divided by 4.\nAnswer: 277831\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 - 2*f. Let x = 10 + -6. Let g(t) = 2*t**3 + 2*t**2 + 3*t. Let b(u) = x*g(u) + 7*m(u). Suppose b(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 77 = 4*d + 2*s, 4*s = 2*d - 6. Let r be (-2)\/((12\/658)\/1). Let g = r - -122. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.5, 2.6488 in descending order.\nAnswer: 2.6488, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - 2*x**2 + x**2)*(-603912*x**2 - 2*x + 617196*x**2 + 2*x) as y*x + f*x**2 + a*x**3 + v*x**4 + t and give v.\nAnswer: 26568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-1131)*52)\/((-2)\/9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from {z: 2, o: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 53, 45\/4, 0.2, -7\/4 in increasing order.\nAnswer: -7\/4, 1\/6, 0.2, 45\/4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2 - 11*r - 3. Let n be f(4). Calculate the highest common factor of 783 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/4 + 19*s**4\/4 - 8*s**3 - 59*s**2 + 2. Factor p(o).\nAnswer: 3*(o + 8)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p + 7. Calculate v(-7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*d - 19 = 0, -5*n + 3*d = -3 + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026101802 rounded to four dps?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66715011*q**2 + 344*q + 49938 wrt q.\nAnswer: 133430022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -84. Let n(l) = 4*l**2 - 2. Let p be n(2). Let m be (40\/p)\/(8\/28). Calculate the greatest common factor of m and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z + 312 = -3*j, 5*z - 5*j - 770 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*d**3*k**3*o**2 - 2*d**3*k**2*o**2 - 2*d**3*o - d**2*o**2 + 147*k*o wrt k.\nAnswer: -510*d**3*k*o**2 - 4*d**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 8*s + s**4 + 0*s**2 + s**2 - 607 + 607 to the form f*s**2 + u + h*s**3 + j*s**4 + c*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3150*m - 721. What is the remainder when g(-1) is divided by 603?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310 - -323. Let k = d - 10. Solve k = -2*b + 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 41*b**3 + 2*b**2 + 18*b**3 + 0*b**2.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -12. Let q = x + 3.8. Suppose -2*b - 2*u + 6*u = 18, -2*b = -3*u + 14. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3945976*y**2*z + 91*y**2 + 5*y + 5422 wrt z?\nAnswer: 3945976*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2))\/(-2)*0*1. Which is the smallest value? (a) 3\/7 (b) -9 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1062 divide 653013173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07383 - -0.92617. Which is the closest to 1? (a) -0.1 (b) 0.99 (c) r (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 36. Suppose -3*x + 12 + j = 0. Let q = -2 - -4. Solve 4*g - 2*y + x = 0, 0*y = -q*g + 5*y + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320130 + -233220?\nAnswer: -1220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-110)\/(-14) + 54\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(2) + 3))**2.\nAnswer: 360*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 26*l**2 + 30*l - 20. Let o be y(27). Suppose 7600*h**2 + o*h**4 + 2500*h - 125*h**4 + 67*h**4 + 301*h**3 = 0. What is h?\nAnswer: -50, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164375*y**3 - 694770 wrt y.\nAnswer: -493125*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/5 + 43426*f**2 + 1172642160*f - 325769004000 = 0. Calculate f.\nAnswer: -54420, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 4. Let b(v) = 18*v**2 - 9. Determine 4*b(k) + 9*u(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118735546 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r**4 + 2*r + (-2 + 2 + 2)*(2*r**4 + 3*r**2 - 3*r**2) + (2*r**3 - 2*r**3 + 2*r**3)*(4*r - 5*r - r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n - 604. What is the smallest common multiple of b(88) and 324?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4)*(-11 + 3). Let d(h) = h**2 + 1. What is d(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2918 - -5145. What is a rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**2 - h + 1. Let s be f(1). Suppose 12 = -3*g, -o = -2*g - 24 + s. Let y = o - 2. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25*r. Let h(n) = -3*n. Let q(w) be the third derivative of 17*w**4\/12 - 2*w**2 + 24. Let f(t) = -22*h(t) - 2*q(t). What is j(f(z))?\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 45*l - 27. Let v be w(23). What is the tens digit of 24\/14*(464 - 6 - v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/24 + 45*u**2. Let y(s) be the second derivative of 0 - s - 3\/4*s**4 + 0*s**3 + 0*s**2. What is v(y(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1408.128 litres to millilitres.\nAnswer: 1408128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**18\/u*u*u**(-17))**(-14\/9))**(3\/13))**(-2\/111) assuming u is positive.\nAnswer: u**(28\/4329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1626.5938 to the nearest 10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*q = 3*q - 198, 2*q + 140 = 3*m. What is the remainder when 1486 is divided by m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/805*-427*-5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 73. What is the third derivative of 126*l**2 - 102*l**3 - 11*l**2 - 26*l**3 + m*l**2 wrt l?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72433.79g?\nAnswer: 72433790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -929 - -929.3734. Let r = 2.4 - 2.77. Let n = i + r. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 447 = -133. Let m be (-2)\/9 - n\/(-45). Factor -3*q**5 + 5*q**5 + q**5 - 4*q**3 + q**m.\nAnswer: 3*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 + -0.06. What is the nearest to 0.1 in -0.2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*b + 10, 0 = 3*b + 3*z - z - 2. Let q be (-1 + 0)*(-9)\/(6\/b). Suppose q*n = 329 + 304. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 30 = -3*b, 3*b - 12 = -4*i + 15. Solve -i = 5*v - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.25 + 3.15. Put -1, 1.6, o in increasing order.\nAnswer: -1, o, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-8)\/24*(-12)\/4). Suppose -3*g + g + 10 = 4*d, d + 1 = 3*g. Which is the nearest to x? (a) -4 (b) d (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 - 4*f + 1. Let u be d(5). Suppose 4*c + 40 = u*c. Let h be (-15)\/c - (-3)\/4. Solve -4*n = -t - 4 - 4, -n + 5*t + 21 = h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**3 + 2*c**2 + 17*c**3 - 2*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389019904.\nAnswer: 2, 7, 13, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3148*x - 753*x = 96232 + 1293 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, j: 8}. Give prob of picking 3 a.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 99543150?\nAnswer: -99543150.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4295, 2, 25.\nAnswer: -4295, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -703 - -707. Suppose -19*r - 3*z = -17*r - 3017, 3038 = 2*r - x*z. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g**2 - 5 + 5)*(4 - 4 - 2) + 4 - 4 - 2*g**2)*(0*g**2 + 0*g**2 + g**3).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 477.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.5294l in millilitres?\nAnswer: 358529.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213.89 - 211. What is p rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*q*y**2 - 61*j**2*t + 4*j**2*y**3 + 15*j*q*y**3 - 2*j*t*y - q*t - 7*q*y**3 wrt j.\nAnswer: 2*q*y**2 - 122*t + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8522663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/798 and -61\/26.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*m + 1652 - 13491 + 256. Solve 218 = m*f + 704 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x + 31 = 5*p, -4 = -2*x. Let l(h) = 2*h + 1. Let j(s) = 5*s + 3. Give p*l(g) - 2*j(g).\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*t + 14, -5*i = -4*t - t + 5. Suppose -i*x = -4 - 20. Suppose 0 = 6*s - 10*s + 64. Calculate the highest common divisor of s and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101010010 (base 2) to base 10.\nAnswer: 11602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*l + 375*l - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3025574*r - 4803939 wrt r?\nAnswer: -3025574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*v - 93. Sort 4, 2, v in descending order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/7)\/x*x))**(11\/4) assuming x is positive.\nAnswer: x**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 - 10*b - 21. Calculate f(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + -6 + 2 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3\/3 + 1340*t**2 + 39836*t\/3 + 11940 = 0.\nAnswer: -995, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-27)*(-10)\/40*6*(-79)\/158?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -154*x**3 - 2*x**2 + 1. What are the prime factors of q(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*g + 8 = -4*g, -5*g = -5*v + 20. Solve v = -8*y + 3*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*y + 2*i - 46, 2*y = -i + 54. Let j be -4*((3 - 2) + -30 - -4). Suppose -4*q + j = -124. Calculate the greatest common divisor of q and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/19, 116, 122, -1\/8.\nAnswer: -1\/8, 0, 2\/19, 116, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 979306.9+2955.733\nAnswer: 982262.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/8 and -23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14*21\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0*w**5 - 1 + 0*w**6 + 7*w + 0*w**3 - 3\/7*w**7 - w**2 - 5\/4*w**4. What is the third derivative of b(l) wrt l?\nAnswer: -1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1700) + (0 + sqrt(1700))**2).\nAnswer: 60*sqrt(17) + 10200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + b**2)*(195*b - 440*b + 174*b + 1).\nAnswer: -71*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 2062\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose 0*i + 3*i - 36 = f. 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: Calculate the remainder when 64 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*h - 86*h = 5258. Is h a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 3*j = 2*v - 54, -1979*j - 3*v - 23 = -1981*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*f, b - 5*f + 10*f - 42 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Suppose 0 = -5*u - 2*g + 8, -14 + 3 = -o*u + 5*g. Let m(v) = -72*v - 3 - 5*v**2 + v**2 + 2*v**2 + 76*v. Give m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2518 - 2523. What is the third biggest value in -3\/53, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001408466 rounded to five dps?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -23 + 6 - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 0.16 (c) -2\/11521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 8*r - 11. Let h be t(-5). Let o = -11\/47 + -20\/517. Do o and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 17086 = -l - 0*a, 5*a - 85445 = -5*l. What are the prime factors of l?\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsb when three letters picked without replacement from {s: 4, e: 6, v: 3, b: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003675 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-24)\/32 + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4313 + 32433?\nAnswer: 42301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829*v + 2360 = 947*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {p: 3, k: 1, j: 2, s: 3, i: 2, q: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*m + 293 = 269, 4*m + 15 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/9 - 50*d**3\/3 - 334*d**2\/9 + 674*d\/3 - 1540\/9 = 0. What is d?\nAnswer: -5, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232013033\/18 + 12879691. Let v = 9925 + j. Find the common denominator of v and -125\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 24*t + 2. Let j(z) = -21*z**2 + 97*z + 6. Let d(g) = -3*j(g) + 13*x(g). Determine d(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 5*i + 10 = 5*a, -a = 4*i + 15. Put -3, 9, 5, i in decreasing order.\nAnswer: 9, 5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)\/(32\/(-15) - -2). Let l(y) = y**2 - 13*y - 13. Let a be l(p). Solve -2 = 4*g - d + 15, -a = 5*g + 3*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b\/b**(-1))\/b**5)\/(b\/(b*b**(-2\/5)))**(-13) assuming b is positive.\nAnswer: b**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in -1.1, -0.5, -2\/9, 1\/7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -63)\/(-4 + (-13)\/1). Let u = -259\/34 - h. Find the common denominator of u and (17\/(-8))\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let a = p - -65. Suppose -4 + 2 = t, -4*s - t = -a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -66*c + 10*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 7*i**2 - 4*i - 5. Let x be h(4). Let q(k) = 14*k - 12. Let b = -38 - -21. Let p(v) = -5*v + 4. Let w(c) = b*p(c) - 6*q(c). Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 31*m - 1360. Let z = m - 68. What is the least common multiple of 10 and z?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/11 - 2*v**2 - 52*v\/11 = 0. Calculate v.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/31 + 1\/(-4) + (-51)\/24*-18?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 2*l + 2. Let v(q) = 10*q**2 + 7*q - 5. Let o(u) = 7*s(u) + 2*v(u). Differentiate o(r) with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11422386889*o**2 + 5*o**3 + 11422386889*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 37. Differentiate 12*o**2 - 35 + j - o**2 wrt o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose -3*s - p + 12 = -9, 4*s = -3*p + 28. Determine j, given that -5*j**3 - s*j**4 + 12*j**4 + 5*j - 2*j**4 - 2 - j**o = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1814, 1806, 1792, 1772, 1746?\n\"Answer: -3*r**2 + r + 1816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*a + 215*a - 74*a + 2921 = 24026 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1021 (base 3) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2609b0a9 - 5?\nAnswer: 2609b0a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000232550331 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/3 - 5*m**3\/3 - 7*m. Find the second derivative of o(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 4*h**4 + 7*h**4 - h**4 + (2*h - 5*h + h)*(-h**3 + 4 - 4).\nAnswer: 4*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*r**3*s*w**2 - r**3*w - 7*r**2*s*w**2 - 8*r**2*w - s*w wrt w.\nAnswer: 22*r**3*s - 14*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 236 = 12*x, -3*x - 215 + 391 - 230 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -19145*c + 76575. Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -122*s + 57. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253743271 to the power of 1\/2, to the nearest integer?\nAnswer: 15929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24786 - 31*x**3 - x - 24788 + x.\nAnswer: -31*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15)*10\/(-18). Suppose 0 = 7*z - z. Does x = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 4*b - 25 - 4*b + 12*b**2 - 74*b**3.\nAnswer: -74*b**3 + 15*b**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/308 - -151\/924. Let l(s) be the first derivative of 1\/3*s**3 - 2\/3*s + 3 - t*s**2. Factor l(q).\nAnswer: (q - 1)*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 30*g**7\/7 - g**4\/2 + 1079*g**3\/3 - 2550. Find the third derivative of w(u) wrt u.\nAnswer: 3600*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + b**2)*(2*b**2 + 5*b - 5*b) - 82*b**2 + 82*b**2 - 39*b**4.\nAnswer: -37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1.5, 2, -3, -0.05 in ascending order.\nAnswer: -3, -1.5, -2\/13, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2322.45 micrometers?\nAnswer: 0.00232245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 1\/10, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 5*l, -2*l - 2*l = -4*o - 12. Suppose l = v - 25 - 12. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/(j**23*j))\/j)*j)\/j*j**5\/j*j)\/((j**14\/j)\/j*j*j**(-1\/23)) assuming j is positive.\nAnswer: j**(415\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527*z - 532*z + 12*z**3 + 108*z**3 + 50*z**3 + 1066*z + 5 wrt z?\nAnswer: 1020*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2. Let q be w(1). Suppose 0 = 5*g - 5*n - 11 + 116, 51 = -2*g + q*n. Let r = -4 - g. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312164473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -43. Suppose 45 = -r*c - 11. Let i = c - -47. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d. Let a(k) = k + 1. Let l(h) = -1. Let m = 5 + -1. Let c(i) = m*a(i) + 4*l(i). Calculate c(g(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-27) + (-45)\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -c - 4*c + 18, 4*h + 7 = c. Suppose 2*o - 1 - 3 = 0, -c*q + 19 = 2*o. Solve 0 = 8*s - q*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 162, 175, 182, 177, 154, 107, 30?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750 and 8?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 40 = y. What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2503536965, 2503536964, 2503536963, 2503536962, 2503536961, 2503536960?\n\"Answer: -m + 2503536966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(612) + 1)*3 - (0 + sqrt(2448) + -2 + (sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))) + -3))**2.\nAnswer: 1980*sqrt(17) + 137821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -250780 and -250780 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2472.37 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 - 682 + 225 - 67*j + 231.\nAnswer: -67*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 419112564 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5049 or 14?\nAnswer: 5049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1112 - -13002?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 144, 247, 350, 453, 556?\n\"Answer: 103*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) 514873 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + j**2 + 3*j**2)*(-j + 0 + 0)*(-2 - 3 + 4).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2798 = -135. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 + 12645*y**4 - 49815*y**3 - 1729145*y**2 - 1215780*y + 9544500 = 0. What is y?\nAnswer: -9, -3, 2, 14, 2525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**2 - 28*s**2 + 13*s**2 + 2*s**2 - 2*s**2 + s**2 + (2 + s - 2)*(2 - 2 - s) - s**2 + 3 - 3 + 3*s - 3*s - 5*s**2 + (-10 + 15 - 15)*(-2 + 2 - s**2).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let a be 15\/10*s\/(-3). Let j = 966 + -969. Is j < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 take away -5502.449?\nAnswer: 5665.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {l: 6, q: 1, b: 4, z: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*t - 1, -5*t + 3*r + 2 = 5*r. Let j(o) = -o**2 + o + 7. Let g be j(t). Let q = -9 + g. Which is smaller: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 2\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209.7 - 201. Let a = 3.7 - n. Put a, 0.04, -2 in decreasing order.\nAnswer: 0.04, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32413741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-13) - ((-3 - 22\/(-6)) + (-1456)\/(-9464)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 3*x = -5*x. Suppose -16*y + 21*y - u - 205 = 0, x = 3*y + 4*u - 100. What is the remainder when 199 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46304 by -3.\nAnswer: 46304\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*r**3 - 2*r**2 + 867*r**2 + 1568*r**3 + 38*r**2 wrt r.\nAnswer: 8472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.014 and -39.\nAnswer: -38.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 1 + sqrt(637) + 2.\nAnswer: 3 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 228*f - 109*f = 117*f - 34, -4*k - 11 = -f - 46 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)*y\/y**4*(y*y**1)**(-6\/5)*((y\/y**(-1)*y)\/y)**(-4\/9)\/(y**(-6)*y**(-2\/13)) assuming y is positive.\nAnswer: y**(-2419\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15519, 13984, 12449, 10914, 9379?\nAnswer: 7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 56*h**2 - 81*h**2 + 3)*(-4 + 4 - 2 - h) in the form q*h**2 + r + l*h + b*h**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 3292*l - 14901238.\nAnswer: -2*(l - 9053)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vtvtvvttvv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -291, -797, -1513, -2439?\n\"Answer: -105*i**2 + 19*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -12. Let i = q - -11. Is 0.1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = 0, -4*g = -g - 4*z - 706. What is g rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 10}. Give prob of picking 1 h and 2 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-3)\/5)\/((-4)\/(920\/(-23)))).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3 + 10*m - 23 + 17\/2*m**2. Solve t(z) = 0 for z.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - r**4 + r**2 - r**4 - 3*r**4 - 5*r**4 + (-r**3 - r**3 + r**3)*(0*r - 3*r + 5*r).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*i - 25 = 0, 1 = -0*z + 3*z - 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6574.516l?\nAnswer: 6574516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175 - 0 - (9245 + -9144)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -78. Let d = x + -29. Let m = -2714 + 2765. What is the remainder when m is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3497625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 13*u**2 - 6*u - 2. What is s(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a**4 - 26*a**2 - 668*a - 4.\nAnswer: -240*a**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*y = -30, 4*l - 10 - 54 = 4*y. Solve w - b = -6, -64*b = -3*w - 62*b - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.3059448 to three dps.\nAnswer: -22.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 40*s**2 - 13*s - 77. Suppose 3*f = 5*z - 199, -2*z - 4*f + 79 = -5*f. What is the remainder when c(-20) is divided by z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/115135?\nAnswer: 6\/115135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106463246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**(6\/7)*((t\/(t**(1\/2)\/t*t))\/t*t)**(2\/7) assuming t is positive.\nAnswer: t**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 24 = -29*z. Solve z*s = 4*d - 0*s + 9, 3*s = 3*d + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. Let p = a + 4. Let n = -1.2 + p. Put n, -0.1, -3\/2 in ascending order.\nAnswer: -3\/2, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u - 20*u - 38*u - 1. Suppose 16*p = 20*p - 60. Calculate the remainder when l(-1) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 9*a**6\/80 - 9*a**5\/40 - a**4\/4 + a**3 + 3*a**2. Find n such that o(n) = 0.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/11 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 6031756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 80426*o - 562884.\nAnswer: -2*(o + 7)*(o + 40206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbdlddndwdddkdwdw. What is prob of sequence dbd?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21616 and 34175668.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**2*r**4 - 48103957*o**2*r**3 - 2*o**2*r + 638290*o**2 + 3*o*r**2 wrt r?\nAnswer: -24*o**2*r - 288623742*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 177853 = -3302147. What is j rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735411571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:30 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*b - 25. Let k(r) = 4*r**2 + r - 6. Let n be k(b). Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/54 - (-40)\/18. Find the third derivative of -4*h**4 - 2*h**4 - 59*h**2 + 39*h**r wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3 - 1. Let q be 0\/(i*(-3 + 1)). Solve 3*h = u + 3, 2*h - 2 = -4*u - q*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 - 4674738 + 4674750 - 3*j**2 - 8*j. Determine u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(80) + sqrt(20) + sqrt(20))\/sqrt(4) + -4)*-3 + 5)**2 + 2.\nAnswer: -6052 + 2448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + w**2 + 37*w + 35.\nAnswer: -(w - 7)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 940 + -6156.\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, k: 2, p: 1, y: 1}. Give prob of sequence bp.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46119306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 484?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3369, -3465, -3561, -3657, -3753, -3849?\n\"Answer: -96*s - 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(7*p - 12 + 12) + 10 - 10 + 10*p + 3*p + p - 2*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50935, -50903, -50871?\nAnswer: -50839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6529, -11883, -16059, -19057, -20877, -21519?\n\"Answer: 589*a**2 - 7121*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*((1 - -1) + (-48)\/15). Suppose -g = -4*c + 5*r, 5*c - 44 = r - 2*r. Suppose -2*w - 48 = -c*w. What is the greatest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3458 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10907147 or 10907107?\nAnswer: 10907147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -30. Suppose 0 = 5*b - 3*s - 24, -b = -0*b - 5*s - c. Suppose 0 = -5*w + 4*a + 3, 2*w + 3*a = 4*w + b. Solve -m - w = -0*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x**3)*(0*x + 0*x + x) + (11*x**3 - 8*x**3 + 4*x**3)*(-2*x - 2*x + 5*x).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8677391.\nAnswer: 8677391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 236*g - 231*g - 10 = 0, -13 = -2*k - 5*g. Which is smaller: k or -29\/1019?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/51? (a) 4 (b) -1 (c) -2\/11 (d) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 85 = -0*v. Suppose -4*k + v = -k + 4*g, 2*k + g = 55. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/28 and 59\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/306)\/5)\/(18\/27)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -29*r + 27*r - 14*r - 5*r. Let i(t) = -5*t**2. Calculate z(i(p)).\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:38 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.235 to one decimal place.\nAnswer: 148.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**8\/50400 + u**7\/4725 + u**6\/1350 - 7*u**4\/12 - 12*u. Let m(c) be the third derivative of n(c). Find i such that m(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*z - 2272 + 960 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*l**4\/7 - 122*l**3\/7 + 872*l**2\/7 - 1192*l\/7 + 288\/7 = 0. Calculate l.\nAnswer: -9, 4\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 9137\nAnswer: -45685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 31050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1626 and 1245744.\nAnswer: 337596624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 336 = -9*v. Does 36 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c + 5. Let w(z) = -9*z + 6. Let b(v) = -v**2 + 8*v + 5. Let x = 77 + -69. Let t be b(x). Determine t*w(m) - 6*j(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -58, -94, -130?\n\"Answer: -36*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/5, 4\/9, 3, -0.4, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113\/3 + 38. Let c be ((-368)\/240 - 54\/(-45))\/((-1)\/2). What is the nearest to 2\/39 in 1, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 17*n**3 - 1 + 18*n**3 - n**2)*(6 - 1 - 3).\nAnswer: 2*n**3 - 2*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 38*r**2 - 7*r - 15. Calculate s(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vzvvvvvzvv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -6. Let f = -27 + 48. Let i = o + f. Solve -7*u - i = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l + 50. Let j(m) = 4*m + 17. What is -8*j(i) + 3*p(i)?\nAnswer: i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + -9 - (1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + 7 + 1*14\/(-1). Solve -p - v = -5*o, -6*p + p + 5 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-2))\/4*(-460095)\/(-24870)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137829816 by -68914908.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13873125 (base 9) to base 4\nAnswer: -122110003232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1939 + 1938. What is the nearest to g in 3\/13, -3, 8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908722565 a multiple of 1477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -16b8?\nAnswer: -16bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 - 465 = 5*t, 2*a + 257 = -3*t. Let q = t + 198. Calculate the remainder when (0 - 1)\/((-3)\/q) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5076 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*a + 15*a + 476 + 560 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.052 + -0.82. Let v = t + 9.068. What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 921 - 919. Suppose 5*u - 2*t - 34 = -t, 2*u - 4*t = 28. Suppose 0 = -3*h + q*b + 14, h - b = u. Solve 0 = 3*n + h*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n + 2. Let r(k) = 4*k**2 - 9*k + 7. Give -r(s) + 5*x(s).\nAnswer: s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + ((-104)\/28 - (-2)\/(-7)). Suppose 5*o = 3*n + 2 - 36, q*n + 6 = -3*o. Let z(t) = 10*t**2 - t - 5. What is the units digit of z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4 in increasing order.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.568 decades in months?\nAnswer: 79988.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -35 - 19. Solve -5*r - y = o, -2*o - 3 - 5 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-140)*(-14)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 1\/7, -2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - (-10)\/(-55). Suppose -2*v = -3*t + 5*t + 16, j = -5*v + 10. Is t > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 294?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 4*z - 147. Suppose 2*q = -22*b + z*b - 534, -3*q + 509 = b. List the prime factors of b.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/1 + 174139\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 13*y - 3. Determine j(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 5) to base 3.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1071 (b) 14 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/10 + (-7)\/((-35)\/20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000623 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253\/3 - -1783\/21. What is the nearest to -0.1 in m, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/(-2) - -61. What is the units digit of (q\/24)\/(1\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-3)*s*s*s**(-1\/2)*s*(s**(-2))**24 assuming s is positive.\nAnswer: s**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**6 - 17\/30*u**7 + 0*u**3 + 0*u + 0 - 1\/6*u**5 + 18*u**2 - 5\/24*u**4. Find the third derivative of j(v) wrt v.\nAnswer: -2856*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185 + 189. Let h = 9 - 14. Let f = 29 + h. Calculate the highest common factor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 128. Let c(f) be the third derivative of 0 - 4*f**g + 1\/6*f**4 + 1\/6*f**3 + 0*f. What is the first derivative of c(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 + 1122*c**2 - 3*c + 626. Calculate g(187).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1 (c) 0.5 (d) 15312 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 0*z - 160. Let q = -187 + 265. Calculate the remainder when q is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 73 = -137. Solve -5*j + h = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = c + 3, -4*v - 6 = -0*c - 2*c. Let y be ((-3)\/(-1))\/((-1)\/c). Suppose 0 = -t + y*t. Solve t = -4*f + 7 - 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134221 times 8?\nAnswer: 1073768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 7758 = 22388. Suppose -a = -16*d - 3*d. What is the highest common divisor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2143+-1228164\nAnswer: -1228164.2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1035 and 70891635?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = 3*k + 8, 19 = -3*m + 4*k. Let g = 1 - m. Sort g, -0.4, 0.\nAnswer: -0.4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/34)*a*a*a**13)\/((a\/a**(1\/7)*a)\/((a\/(((a*(a**4*a)\/a*a)\/a)\/a))\/a)))**(3\/11) assuming a is positive.\nAnswer: a**(7221\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*(17\/119)\/(12\/7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*f - 19209 = 9613, r = 3*f + 28862. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:42 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1017*a + 2018 - 560 + 1047*a + 757 with respect to a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -13. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(1*sqrt(3)) + -4)**2 + (sqrt(2) + (sqrt(24)\/sqrt(2))\/sqrt(6) - (sqrt(2) + 1)*-5).\nAnswer: -sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*f + 45, 2*f - 4 = f. What is the remainder when 114 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*-6*(1071\/(-884))\/21.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -57*q**4\/4 + 153*q**2 - 148*q - 69. Let s(m) be the first derivative of u(m). What is the derivative of s(t) wrt t?\nAnswer: -342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i - 3908 + 116444 = 0. List the prime factors of i.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37264 + -2355. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 0.66 (c) 30 (d) -1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3108 + -3089. Solve 0 = -21*u + l*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4140, 4141, 4144, 4149, 4156, 4165?\n\"Answer: y**2 - 2*y + 4141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*g = -53, 9*k - g = 7*k + 17 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 144*l**2 - 315 + 144*l**2 - 935*l**3.\nAnswer: -935*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -708461792 from -2.\nAnswer: 708461790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - ((-1 + sqrt(475))**2 + sqrt(475)))*1 + (5*-3*sqrt(57))\/sqrt(3))*1*-4.\nAnswer: 20*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d + -21?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77489 = -5*j - 4*b, 115*j - 61991 = 111*j - 3*b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {x: 2, u: 1, i: 4, h: 3, c: 8, f: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 14}. What is prob of picking 3 t?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 0 + 3)\/(-1). Suppose 4*p - m*x = 2 + 1, 9 = 5*p - 2*x. Suppose 4*t + t**2 - 5*t**4 - 3*t - t**p + 2*t**4 + 2*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j + 14. Let k = 44 - 28. Let v(h) = -4*h + 5. Let t(y) = k*v(y) - 5*w(y). Differentiate t(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9.2 (b) -1074 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7601557 and 39515?\nAnswer: 266054495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121405541, 121405543, 121405545, 121405547, 121405549?\nAnswer: 121405551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -0.09 (c) -3\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.05 - -4.65. What is the third biggest value in -3\/4, z, 0, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1469062 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4212 + 8027. List the prime factors of r.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 144, 2, -225, -8 in decreasing order.\nAnswer: 144, 3, 2, -8, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186038 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221112210 (base 3) in base 8?\nAnswer: 112643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*36\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-6)\/(-4). Suppose 4*k - 16 = 4*b, -6 = -4*k + b + 1. Solve 0 = 3*p - n - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 29. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 266.8 - -0.2. Let d = k + -267.000274. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740 divided by -350.\nAnswer: -74\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19032190241500\/7 + 8745519801866560105\/3216584. Let z = s + -2\/57439. Let k = -120 - z. Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18 = -5*a, -2*a + 4*s - 14 = -2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000011100 (base 2) to base 14.\nAnswer: -7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6652*v + 5. Let p(c) = -9971*c - 8. Give 8*n(b) + 5*p(b).\nAnswer: 3361*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5\/4, -2\/5, -1.16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1546164?\nAnswer: 1546156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 553819 and 428010?\nAnswer: 182760270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 44\/1769 (b) 2\/15 (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 4)\/2 - (-44)\/110*(-235)\/(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, 16, -4, 5 in increasing order.\nAnswer: -22, -4, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 9. What is the greatest common divisor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.8 + -0.8. Let n = -17\/9 + 5\/3. Sort -0.3, n, d in descending order.\nAnswer: d, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4250, 5859, 7468, 9077?\n\"Answer: 1609*r + 2641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262031, 262026, 262021, 262016?\nAnswer: 262011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*p, 3*w - 3*p = -2*w + 9. Suppose 3*n + 5*d + 1 = w, 4*n - 5*d + 6*d = 27. Solve -4*g - n = -2*l, -7 = -l - 3*g - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 60*c + 7. Let i(r) = -1950*r**2 + r + 4. Calculate x(i(n)).\nAnswer: -117000*n**2 + 60*n + 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 40, 67, 104, 151, 208, 275?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165577 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 41*r + 4. Let m(w) = -122*w - 14. Calculate -14*b(t) - 4*m(t).\nAnswer: -86*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from tmmvhzx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + 5*sqrt(171)*1 + sqrt(171))\/sqrt(9) + -2)**2*3*4.\nAnswer: -384*sqrt(19) + 14640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/54 and -57\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154112319 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(5) + sqrt(5) + (sqrt(120)\/sqrt(8))\/sqrt(3) - (sqrt(40)\/(2*sqrt(512)) + 5).\nAnswer: -65*sqrt(5)\/16 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -18 - 8 - -13 - -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 11*a - 6. Calculate the remainder when 107 is divided by c(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/101, -2, -46, -6, -1\/7, 4\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119) + sqrt(119) + sqrt(119))\/sqrt(7) + sqrt(17) + sqrt(68)*-1.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-1*302\/(-4). Let t be (9\/(-4))\/3*(-9 + d). Suppose -25*m = -27*m + t. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**2*q**3 - 3716*m**2 - 137*m*q**3 + 30*m*q wrt m.\nAnswer: 28*q**3 - 7432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -223549, -223545, -223541, -223537?\n\"Answer: 4*c - 223553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 61*b - 303. Let c(t) = -2*t**2 + 30*t + 150. Let i(f) = 5*c(f) + 2*o(f). Factor i(j).\nAnswer: -2*(j - 18)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -75572*z**3\/3 + 25204*z**2 + 50368*z - 80\/3 = 0. What is z?\nAnswer: -1, 10\/18893, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 - -191. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 6\nAnswer: -139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 7. Suppose 0 = -0*m - 2*m + 4*j, 2*j = 6. Let p be y(m). Let c be (-6 + 9 - -4) + -3*p. Put c, -6, 2 in ascending order.\nAnswer: -6, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2*4 + 5 + sqrt(112) + 0)*-5)**2*6.\nAnswer: -42000*sqrt(7) + 826950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -30997\nAnswer: 4\/30997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*y**5 + 1050*y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 14, 5, -6?\n\"Answer: -b**2 - 4*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z - 8*z + 4*z + 8*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 7*k + 3. Let h be n(-7). Let v(w) = -3*w - 8. Let r be v(-4). Suppose -h - r = -4*c. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 564.3193 tonnes?\nAnswer: 564319300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Suppose 5*w + f = -114, -5*f - 1 = -4*w - 98. Let h = -24 - w. Let p(s) = 1. Calculate h*z(k) - 5*p(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856607 a multiple of 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/11 + 8*f\/11 = 0 for f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n. Let x(g) = -1853*g + 17. Determine x(r(v)).\nAnswer: -18530*v + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(10\/3)*(-30 - 1422\/(-54))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37250?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216527.\nAnswer: 293, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.70112 - 12.7. Round j to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**14*s)\/s*s**7\/s)\/(((s**(-1\/14)\/s)\/s*s)\/(s**(4\/5)*s)) assuming s is positive.\nAnswer: s**(1671\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by 350.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 + 7*w + 7. Let m(z) = -2*z**3 - z**2 - 7*z + 6. Let p be m(0). What is y(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -240?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*v - 41, 2*q = 6*q + 4*v - 224. Suppose -o - 25 = -116. Let n = o - q. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, o: 7}. Give prob of picking 3 o.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13277, -26548, -39817, -53084, -66349, -79612?\n\"Answer: t**2 - 13274*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o + 234 = 3*x, 3*o + 4*x = 238. Suppose 5*z - 3*z = o. Suppose 0 = -3*d - 5*c + z, 2*c - c = -5*d + 91. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(1 - 5 + 5) + 0 + 1 + 3)*(-3*i**2 + 2*i**2 + 0*i**2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 31. Suppose -13*j + 10899 = -4675. Suppose 0 = 27*t - 4519 + j. Calculate the remainder when t is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 - 117*x**3 + 53*x**2 wrt x?\nAnswer: 60*x**2 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 803427*u**3 - 803405*u**3 - 4 + u**2.\nAnswer: 22*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 936*d**3 - 8208*d**2 - 24408*d - 24300 = 0. Calculate d.\nAnswer: -225, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + m + 12, -5*l - 24 + 9 = 5*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 43 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2313*-71.\nAnswer: -164223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12320826 divided by -93?\nAnswer: 132482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 7\/100*o**5 + 1\/50*o**6 + 0*o**2 - 7\/30*o**3 - 45*o + 0 - 1\/20*o**4. Find a such that q(a) = 0.\nAnswer: -7\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2. Let g(k) = 7*k**2 - 6. Give g(o(m)).\nAnswer: 252*m**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*i - 93, -2*p + 26 = 4*i - 2*i. Let s = 0 + 3. Suppose -3*t + 6*t - 26 = 2*k, -s*t - 5*k = 2. What is the remainder when i is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476080 is divided by 654.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -353*f**3 - f**2 - 735*f - 736. Determine t(-1).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1. Let x(k) = -k**2 + 6*k + 1. Determine x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -21 - (9 + 0 - 8) - 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*p**2 + 2 + (-2*p + 3*p - 2*p)*(p + 1 - 1) + p**2 - 2*p**2 + 2*p**2 + (0*p + 2*p - p)*(3*p - 1 + 2 - 3).\nAnswer: 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348216080 and 10.\nAnswer: 348216080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -0, 5*m - 24 = 3*c. Let k be 2\/c - (-1425)\/45. Find the second derivative of 25*n**5 - k*n + 6*n**4 + 5*n**4 - 11*n**4 wrt n.\nAnswer: 500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 19 = 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 194. Let z(q) be the second derivative of 1\/6*q**3 + 0*q**4 + 3*q + 1\/6*q**6 + 0*q**p + 0 + 0*q**2. What is the second derivative of z(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 141?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*-2)*1)\/(2*sqrt(81)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/8*(-13)\/(-4576)*-11\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 527140 and 3162840.\nAnswer: 3162840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23*(-3 + 4)\/1. Suppose -3*w = 2*w + 10, -5*g - w + z = 0. Factor 14*v**2 - 2*v - 2*v**2 + 6 - g*v - 8*v - 3*v**3.\nAnswer: -3*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 6 - 14*d**2 + 6.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -89. Let t = -0.215 - 0.226. Let y = t + 0.041. What is the third smallest value in r, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -926 (base 12) to base 4\nAnswer: -110232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by -7343?\nAnswer: -325\/7343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693471956 to the power of 1\/3, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40065 - 40050. Sort h, -1\/2, 3\/4, 2\/33 in descending order.\nAnswer: h, 3\/4, 2\/33, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3228*c**2 + 218*c + 3. Let s(k) = -3230*k**2 + 214*k + 2. Let l(u) = -5*i(u) + 6*s(u). What is the second derivative of l(p) wrt p?\nAnswer: -6480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 141*o - 155. Let l(r) = 33*r - 38. Calculate 25*l(h) - 6*p(h).\nAnswer: -21*h - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u + 3. Let d(q) = -4*q**2 + 4*q - q**3 - 3*q**2 + 8 + 2*q**2 + 4*q. Let s be d(-6). What are the prime factors of v(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, 5, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38760*-0.2\nAnswer: 7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-7)*c)\/c)\/c)\/c*c*c**1)**(-47) assuming c is positive.\nAnswer: c**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/11)*g*g)\/g**6)\/(g**(1\/3))**0*g\/(g**(-9)\/g)*g*(g*g**(-9))\/g*g*((g*g**(-9))\/g)\/g**(-9) assuming g is positive.\nAnswer: g**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221\/645 - 2\/215. Which is the nearest to r? (a) -5 (b) 1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*b = -25, -b + 1 = 3*i + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*c**2 + 113*c**2 - c + c - 153*c**2)*(8*c + 0*c - c).\nAnswer: -1365*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*-72845687\nAnswer: 218537061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m - 4. Let o be b(-4). Let t(a) = -a**2 - 13*a - 12. Let f be t(-12). Solve f = -4*r - 8 - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -83*i**6\/6 - 688*i**2 - 2*i - 2850. Find the second derivative of u(b) wrt b.\nAnswer: -1660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.131 - 0.169. Sort v, -3, -6 in ascending order.\nAnswer: -6, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-264)\/2*8\/16. Let q be (-3)\/3*1 - (7 + b). Let w(p) = q*p**2 + 57*p**2 - 112*p**2. Let n(k) = -2*k. What is w(n(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a - 379*a - 54*a + 1 - 45*a - 306*a.\nAnswer: -830*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -3*q, 5*y - 13 = -4*q - 0. Suppose 5*r - 25 = -5*f, 16 = 6*f - 2*f + 3*r. Let p(i) = -y - 5*i - f + i**2 + i. What is p(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1116\/6*(-51)\/(-34). Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 9*q**2 - 8*q + 2. Let x be u(-8). What is the tens digit of (17\/34)\/(x - 523\/262)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 7*c**4\/12 + c**3 - 15*c**2 - 96*c. Find the first derivative of o(p) wrt p.\nAnswer: 14*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Let y(f) = -417022*f. Determine r(y(c)).\nAnswer: -1251066*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyyxoyyeyyeyyxnxyxx. What is prob of sequence oye?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let k = 24.5 + -20. Let i = k + -5. What is the second smallest value in i, 1\/2, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3298044 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57150361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225359 is divided by 240?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 2*l - 6. Let f be a(1). Solve f*v = -5*h - 7 + 16, 3*v = 2*h + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000150863178 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -53 + 1\/3*n**3 + 2*n - 5\/2*n**2. Suppose -16 = -4*c - 0. Calculate p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.9. Let j = n + 1.9. Let u be ((-4)\/(-6))\/((-2)\/3). Which is the closest to -0.1? (a) j (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2\/2 - 3*v - 49. Let c(a) = 2*a - 3. Let r be 9\/(-6)*8\/3. Give r*o(d) + 5*c(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1613\/1012 - (-15)\/(-60). Let r = u - 10\/23. What is g in 2\/11*g**2 - r*g + 12\/11 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {i: 2, w: 1, v: 2, s: 1, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:22 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -10*a + 1785. Suppose -5*d + 169 - a = 0. Solve 0*t + m = 3*t + d, 3*m = 2*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**4 - 281927*d**3 + 5876189*d**2.\nAnswer: 240*d - 1691562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93310 or -93309?\nAnswer: -93309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489943563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 280460.73 to the nearest ten.\nAnswer: 280460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 77668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:51 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-21)\/6. Suppose -2*z = y*z - q + 2, 4*z - 4*q - 8 = 0. Let r be ((-2 - z)*1)\/(-8). What is the second smallest value in 2, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -67*f**4\/12 - 112*f**3 - 10*f**2 + 4*f - 1003. Suppose l(u) = 0. What is u?\nAnswer: -10, -2\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/13 and 121\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4)**(24\/7))**(8\/19) assuming y is positive.\nAnswer: y**(768\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56625 = 5*u - 519*f + 524*f, -2*u = -4*f - 22626. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11103863 to five decimal places.\nAnswer: 0.11104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*p**2 + 2408*p - 2408*p)*(p**2 - p**3 - p**2) + (-5*p**3 + 5*p**3 + 6*p**3)*(-2*p + 0*p + 0*p)*(-3*p + 0 + 0).\nAnswer: 59*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137543169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245.1 + -245. Let r = 0.42 + -0.02. Which is the smallest value? (a) r (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670007 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -34384, -17, -4 in descending order.\nAnswer: -4, -17, -34384","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -241*c**7\/210 - 271*c**5\/60 + 68*c**2. What is the third derivative of t(q) wrt q?\nAnswer: -5784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.43 - 19.43. Let d = -32 - v. Let b = -13.004 - d. Round b to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19808 bigger than -0.185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 210776363 to the power of 1\/2, to the nearest integer?\nAnswer: 14518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2971 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 215, -1, -63628?\nAnswer: -63628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 570.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3)*((1 - -1) + -9). Suppose 0 = j*w + 2 - 16. Solve w*k + 11 = -4*a - a, 8 = 4*a - 4*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-15))\/((74740\/5757)\/(-185)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 11*k - 2. Suppose -24*j + 14 = -r - 21*j, 4*j = 12. Calculate the smallest common multiple of 29 and f(r).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 8815966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 995*m + 43890 = 0. Calculate m.\nAnswer: 66, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -11. Let q be 9\/(-6)*(1 - 3\/5). Which is the nearest to 2? (a) q (b) d (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5901 (base 16) to base 15\nAnswer: -6b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.095078\nAnswer: -0.47539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - s = 8, 5*s = -f - 7 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 359650141\nAnswer: -359650149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1295, -4744, -10489, -18530, -28867, -41500, -56429?\nAnswer: -73654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 divided by 1188?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + -14 - (15 - 30).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*o + l, 23 = -4*o + 138*l - 141*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 - 3. Let x(n) = -n**3 - n**2 + 1. Suppose -13*o = 9 + 30. Calculate o*x(h) - g(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**3\/2 + 180*g. Let o(t) = -t - 129. Calculate o(v(c)).\nAnswer: 3*c - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -12 (c) 2\/9 (d) -3\/7 (e) 104 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-132))\/(4\/(-12)*2). Sort 5, 0.4, d, 2\/45 in increasing order.\nAnswer: d, 2\/45, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:31 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/(h*h**(1\/2)*h)*h\/(h*h**(-1)\/h)*h\/(h*h\/((h*h**(-1))\/h)*h*h)*(h*h**0*h*h*h)**32\/(h**(-2\/7))**(-17\/2) assuming h is positive.\nAnswer: h**(1723\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18930178029.3 minus 0.22?\nAnswer: -18930178029.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-864)\/(-90))\/(114\/(-380))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/66 + 3 + 68\/(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 - 41*h**2 - 5*h + 5. Let w be n(-5). Solve 0 = -2*i - 2*r, -w*i = -6*r + r - 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -114. Let h = w - 153. Let q = 233 - h. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -16*h - 122 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose -i*j - 40 = -j. Let p be -1 + -7*2\/j. Which is the smallest value? (a) 3\/7 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 576\/63 - 81\/9.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + a - 122 = 0, 316 = 9*u - 4*u - 3*a. Suppose 7*t - 138 = -u*t. Solve -h + t = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 + -188. Suppose -z*d - 998 = -6*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017251 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-9))\/(-4))\/(((-28)\/320)\/(7455\/(-1420)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (1 + -2 + -22). Suppose -20 = 5*p, -3*n = -p + 6*p - 241. Suppose -5*b + n = -m, 5*b + 3*m = c + 54. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 162 (b) 2\/15 (c) -6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2256.961, 2\/3.\nAnswer: -2256.961, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53461 - -3?\nAnswer: -53455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 6*t**3 + t**3 + 31*t**2 - 31*t**2 - 8*t**3 + (4*t**2 + 0*t**2 - 5*t**2)*(t + 0*t + 4*t) + 3*t**3 - 2*t**3 + t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25590 (base 10) in base 14?\nAnswer: -947c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2762 - -2761.4. Let f = -0.75 + 0.7. Let v = f + -0.05. What is the closest to 1 in v, -5\/4, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 72. Let w = 42 - n. Calculate the lowest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1053248 by -4.\nAnswer: -263312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbo when three letters picked without replacement from {b: 9, s: 1, x: 5, f: 2, o: 1}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174*f - 1176*f + 3*q - 25 = 0, -5*f - 6*q + 32 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2601486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 145525001 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwy when three letters picked without replacement from wqbyuywqqwy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/396 and -103\/220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + (sqrt(180) - sqrt(180)*-2)\/sqrt(10) + (sqrt(24)\/(sqrt(108)\/(sqrt(36)\/sqrt(4))))**2)*-3 + -5).\nAnswer: -108*sqrt(2) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3832 - -2.7038. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179641?\nAnswer: 7, 11, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -17707000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3687 by 1.\nAnswer: 3687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60955?\nAnswer: 5, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*s**2 - 10574*b**3*s - 2*b**3 + b**2*s**2 + 7*b**2 - 1508*b*s wrt b.\nAnswer: -6*s**2 - 63444*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3781308 by 6.\nAnswer: 630218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4755320?\nAnswer: 2, 5, 19, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.9332 + 0.0668. Sort 5, 2\/7, w in ascending order.\nAnswer: 2\/7, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.5 + -51. Let l = 9 - 3. Let u = -1 + l. Which is the closest to -0.2? (a) u (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 409682 and 7280.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935780357.\nAnswer: 37, 67, 73, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 13*i**2 + 22*i - 36. What is the tens digit of b(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**2 - 34007996*u + 102*u**2 + 34007996*u - 4.\nAnswer: 64*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.75 - -0.45. Suppose 2*x = 4*v, 5*x = 6*v - 4*v - 8. Let b be v\/(-4) + 39\/36. Sort 0.1, b, h in increasing order.\nAnswer: h, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 179 = 201. Suppose q = 3*q + 42. Calculate the common denominator of q and ((-36)\/40)\/((-48)\/o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u - 83*u + 27*u + 29*u + 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-2)*24\/60. Suppose 0 = 2*u + d*u - 275. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1678 + 44*o + 1804 - 16*o**2 - 1541 wrt o.\nAnswer: -32*o + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 13*w + 1. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -414 + 3?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111010110000001111000 + -101?\nAnswer: 10001111010110000001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and 21.62.\nAnswer: -71.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccavocacrrcscs. What is prob of picking 1 s and 1 o?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 2225 = -275*v - 4444 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1911034, -7644100, -17199200, -30576334, -47775502?\n\"Answer: -1911017*z**2 - 15*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((5 - (7 - (4 - -5))) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8776 smaller than -8776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35019*q**3 - q**2 + 87242 with respect to q.\nAnswer: -105057*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1102, 1169, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000*r**5 - 604200*r**4 + 48913405*r**3 - 464176535*r**2 - 3191175225*r - 4290887125 = 0 for r.\nAnswer: -49\/20, 17, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 19 + 20 + 4*n - 5. Calculate the lowest common multiple of 15 and w(11).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**5\/210 + o**4\/42 - 3*o**2 + 6. Let y(w) be the second derivative of k(w). Determine i so that y(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 9*u. Let z(g) = -g**3 + 71*g**2 + 29*g. Determine -3*y(w) + z(w).\nAnswer: -w**3 + 74*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p*s**4 + 895*p*s**2 + 1056*p + 2*s - 1468 wrt s?\nAnswer: 20*p*s**3 + 1790*p*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 5*c - 2. Let q(y) = -2*y**2 - 4*y - 2. Let g(t) = -3*j(t) + 4*q(t). Let x be g(2). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116118730 by -10.\nAnswer: -11611873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 11. Sort z, 10, -2.\nAnswer: z, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1313421, -2626804, -3940165, -5253504, -6566821, -7880116, -9193389?\nAnswer: -10506640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2307 + -1684. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:09 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-292)\/(-438))\/(5\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.901534 decades?\nAnswer: 0.7901534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*sqrt(88)\/sqrt(11) + -2 + sqrt(128) + -4.\nAnswer: -4 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(128\/(-6))*(6\/10)\/(423\/(-5170)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*l - 158*l = 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15147859, -30295718, -45443581, -60591448?\n\"Answer: -2*i**2 - 15147853*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - t + 1)*(-t**2 + 5*t**2 - 2*t**2) + (2*t**2 + 3*t**2 - 3*t**2)*(-11*t + 1151 - 1151).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 222322 (base 4) to base 8\nAnswer: 5272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:56 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 - 208.99. What is the biggest value in 1\/3, -1, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -21d3395?\nAnswer: 21d3390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/12932 - -25827\/478484. Let x = 2.8 + -2.7. Which is the smallest value? (a) -1 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-117) - 1788*32\/1152\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24864833 + -185466788853\/7459. Let m = 2037901793\/134262 + j. Let p = 15187 - m. What is the common denominator of -103\/22 and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a**3*b - 3*a**3*l + a - b*l - b + 2*l with respect to a.\nAnswer: 63*a**2*b - 9*a**2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:09 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 - 234*b**4\/5 - 6498*b**3\/5 - 7614*b**2 = 0. Calculate b.\nAnswer: -15, -9, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.2 - 1.2. Let z = p - 32. What is the closest to 0 in 2, 8\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/13)\/j**(-10))**(6\/5) assuming j is positive.\nAnswer: j**(786\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -2.6. Let z = -2664.1 + 2664. Which is the biggest value? (a) z (b) 5 (c) 9 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 14*l**2 - 15*l - 17. Suppose 2*u = 5*r + 61, -2*r - r - 2*u = 43. Let k be w(r). Solve 1 = -4*f + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 1554*s + 1522449.\nAnswer: -3*(s - 1017)*(s + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - j + 2*j, 2*k = -4*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*3 + 5.\nAnswer: 5 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-314)\/(-126) - (-2)\/7. Let c(u) = -95*u + 858. Let b be c(9). Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1 + 0) - 0. Let s be -5*((-48)\/(-3))\/(-4). Suppose 0 = -i - x*i + s. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/14)\/((6\/7)\/(-1)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 62. Let s be x\/(6\/2) + 2 + 1. Solve s - 2 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p*p**3)\/(((p\/(((p**10\/p)\/p)\/p))\/p)\/(p**(1\/18)*p)) assuming p is positive.\nAnswer: p**(1555\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 6, 15, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from vszvcbvzbcvcvvvzevv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271043 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 490045 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6209, -6216, -6227, -6242, -6261?\n\"Answer: -2*t**2 - t - 6206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-2))\/27)\/((-15)\/(-810)*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-2)*-2*17\/51*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*a - 47. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*5\/((-475)\/38))\/((-13)\/4).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35.107 * -193\nAnswer: 6775.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 + 4*i + 2. Let w be a(-3). Let u(o) = -2*o + 37. Let b be u(17). What are the prime factors of ((310\/15)\/(-2))\/(w\/b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkpchdz. What is prob of sequence kz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1*(-90)\/12. Suppose -g + q = 4*g. Suppose -5*z - 18 = -4*t, -t - g*z - 2 = t. Solve t*b + 5 = r + 2*r, -b = -3*r + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*j**4 - 42*j**4 - 38*j**4 + 7*j + (-j - 3*j + 3*j)*(4*j**3 - 2*j**3 - j**3).\nAnswer: 2*j**4 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 214, -280 in decreasing order.\nAnswer: 214, -0.5, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awvvawvawu. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - -1*sqrt(76))*-2 - sqrt(76)) + (-1*1*sqrt(76) - sqrt(76)) + sqrt(76))\/(sqrt(484) + 5*sqrt(484)*1 + sqrt(484) + sqrt(484)).\nAnswer: -3*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 - 0.62. Let i = 0.4 + l. Sort -2, i, -0.5.\nAnswer: -2, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47\/85 + -11\/17. What is the closest to t in 2, -2\/21, 0.65?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1047, 1 in decreasing order.\nAnswer: 1047, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -18213 and -18214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 17. What is the first derivative of 7*l - f + 19 - 9 wrt l?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p + 1. Suppose 3*a = 10 - 19. Let g(o) = -9*o**4 - 36*o**2 + 6*o - 3. Let y(b) = a*r(b) - g(b). Find the third derivative of y(k) wrt k.\nAnswer: 216*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 1, -9, -36, -4, -195 in decreasing order.\nAnswer: 144, 1, -4, -9, -36, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6919141862.4529 and 0.9.\nAnswer: -6919141861.5529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((2160\/(-2880))\/((-3)\/8))\/((-2)\/(-104))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -10*m + 3318 + 1534, 0 = 4*y - 12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 22 = -w, -3*r = -w - 2 + 20. Let x(f) = f**2 + 7*f - 22. Let i be x(w). Solve -3*h + i*h = 2*k, 4*k = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.21, 0.07, 2, 4\/5, 38, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**9\/r)\/r*r*r**6*r)\/((r\/(r*r**8*r)*r)\/r**(-8)))\/((r**4)**(-2\/21))**37 assuming r is positive.\nAnswer: r**(611\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*j + 2958 = 208*j. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 175. Calculate the remainder when o is divided by (-2 + 3\/12)*-20.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:15 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 299798.\nAnswer: 299798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 14898 - 25736 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.198381706471 and -2.\nAnswer: -1.801618293529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:12 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -554, -1169, -1784?\n\"Answer: -615*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/(sqrt(4) + sqrt(64)) + 2 + sqrt(343)*2.\nAnswer: 2 + 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*a = -10, -304*k = -281*k - 2*a + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 13 (b) 2 (c) 2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 694\/7 + -99. Let u = 4.368 + -8.368. What is the smallest value in d, u, -0.09, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 7*o + 34. Let q be s(3). Solve -12*y + q = 88 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -32, -86, -174, -302?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72) + (sqrt(72) + sqrt(72)*1*-5 - sqrt(72)) - sqrt(72)))\/((sqrt(9) + (sqrt(9)*3 - sqrt(9)) + sqrt(9))*4 + sqrt(576)*-1) + 1.\nAnswer: -5*sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*l + 2*l**2 - 2*l + (0*l - 2*l + 4*l)*(6*l - 2*l - 2*l) - 2 + 2 - l**2 + 4*l**2 - l**2 - 2*l**2 to the form q*l**2 + j + f*l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2207568 rounded to four dps?\nAnswer: -2.2208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 11*o)*(o**4 + 2*o - 2*o + 2*o**4 - o**4 + 0*o**4 + (-2*o**3 + 4*o**3 - o**3)*(6*o + 0*o - 4*o) - 2*o - o**4 + 2*o).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 53 - 33 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. List the prime factors of 55 + ((-16)\/4)\/m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 5. Let x be k(4). Let d be 12\/3 + x + 0. Suppose -2*y = -3*v - 17, 5*y + 7*v - d*v - 31 = 0. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r + 1\/5*r**3 + 4\/5*r**2.\nAnswer: r**2*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210202 (base 3) in base 13?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k - 1. Let i(g) = g. Let a be i(-1). Is 6 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000847153 to six dps.\nAnswer: 0.000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20384 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by (390\/(-13))\/180 + 3494\/12.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 27*r - 2. Calculate v(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -439, -848, -1257, -1666, -2075, -2484?\n\"Answer: -409*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - sqrt(117)*-2))\/sqrt(9) + 1.\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) + -1 + 1. Let i = -119.9 - -113. Let z = 7 + i. Which is the third smallest value? (a) s (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-876)\/(-10) - (-15)\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 31252.\nAnswer: 31252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 7*i**2 + i + 2. Let z(a) = a**3 - a**2 + a + 1. Let v(m) = -x(m) + 4*z(m). Suppose 2*f - 12 = -2*f. List the prime factors of v(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + a?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 63. Suppose 4*n + 2*n = 192. Suppose 27*h - n*h = -15. Solve -2*z - 3*j - x = -h*z, 0 = 2*z - 4*j - 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -1, 1.26, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -4, -0.16.\nAnswer: -4, -0.16, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 + 22868?\nAnswer: 22817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 12*d - 69. Calculate p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-32) - (3 - 0))\/((-204)\/816)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 32. Let u be j(12). Suppose 4*c - 6*c = -3*x - 14, 2*c - u*x = 16. Put c, -21, 3 in descending order.\nAnswer: c, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/91 + (-316)\/(-7). What is the third derivative of -51*i**3 + y*i**2 + 18*i**3 + 17774 - 17774 wrt i?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5002900 and 350?\nAnswer: 5002900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6)\/((-10)\/(60\/(-9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503742 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-24)\/80)*(-3)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = 203*y - 373216. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/12 + 3183*q**2 + 2*q + 2. Let w(k) = -14*k - 141. Determine w(u(z)).\nAnswer: 28*z - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + r**2 + 1)*(2 - 2119*r + 2154*r - 1) as g + j*r**2 + m*r**3 + l*r and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*d + 46 - 27 - 21)*(-5*d + d + 3*d).\nAnswer: 184*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*x**4 + 3*x**3 - 57*x**2 + 67*x - 1877538?\nAnswer: 152*x**3 + 9*x**2 - 114*x + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2932, 0.4, -3\/10.\nAnswer: -3\/10, 0.4, 2932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 472 = -2*o, -4*m + 587 = 3*o - 124. Calculate the remainder when o is divided by 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 7*d - 8*d**2 + d**3 - 4 - 4*d. Let z be g(7). Let j(m) = -3 + 2 - z*m**2 + 1. Let w(r) = -2*r**2. Give j(w(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/4 - x**3\/6 + 4*x**2 - 20. Let j be p(0). Is -15\/22 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhv when three letters picked without replacement from arvhz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:39 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14822 by -5.\nAnswer: -14822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69178*k**3*z**2 - k**2*z**3 - 3*k*z**2 + 2*k*z + 6*k - 8*z**3 + 1 wrt k?\nAnswer: 415068*k*z**2 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 3 + ((10 - 3) + 8 - 8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 4*l**2 - 3*l**2 + (-2 + 1 + 0)*(-1216*l**2 - 2617*l**2 + 264*l**2).\nAnswer: 3567*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:46 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.22. Let o = 0.179939 + a. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.84 and -3.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62598805 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/335 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/19 - 2456*f**3\/19 - 792264*f**2\/19 - 23499008*f\/19 - 183093248\/19.\nAnswer: -2*(f + 16)**2*(f + 598)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18094 (base 16) in base 15?\nAnswer: 1e287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 340, 499, 658?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 3}. What is prob of sequence agaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*v + 3)*(-4491 - 735 - 8111 + (-1 + 1 - 2)*(1 - 1 + 2)*(-3 + 2 + 0)).\nAnswer: 39999*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a. Suppose -2*q + 2 = 2*p, -5*q + 1 + 4 = -2*p. Let i(c) = -q - 4*c - 7 + 8. Let k(s) = 36*s. Let g(v) = 28*i(v) + 3*k(v). Give n(g(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 5, l: 4, s: 5, a: 1}. Give prob of sequence kq.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(66\/(-8) - (-25)\/20). Suppose 2*w + 9 - 37 = 0. Calculate the highest common factor of w and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4368)\/(-441) + (-2)\/(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 7*r - 7. Let a be c(-1). Let 4\/9*y**2 - 2\/3*y**a + 0 + 2\/9*y**4 + 0*y = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1845 and -61\/90245100.\nAnswer: 270735300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 273*l + 273*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q + 3. Let v be (0 - q) + (4 - -31). Suppose -2*a + 21 = -s, 0*a - 4*a - 4*s + v = 0. Is a less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11668\/(-18) + (-14)\/(-63). Let l = -11\/285 - 2487\/380. Find the common denominator of l and (-4923)\/s - 4\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20360, -106, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 10 = 7*p. Suppose p*x + 3*t - 6*t = 4624988, 3*t + 3699988 = 4*x. Round x to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/143 and -73\/35802.\nAnswer: 393822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/16*(-140)\/(-1470)*76.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 490, 980, 1468, 1954, 2438, 2920, 3400?\n\"Answer: -d**2 + 493*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/189 - 7*b**6\/27 - 143*b**5\/30 - 2057*b**4\/54 - 2662*b**3\/27 + 4*b - 158. Find m such that o(m) = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 - 178. Sort 1, z, 0, 1\/2 in descending order.\nAnswer: 1, 1\/2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207010*k**3 + 199740*k.\nAnswer: 1242060*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 3. Let z(w) = w**3 + 12*w**2 + w + 17. Let j be z(-12). Suppose j*m = 56 - 261. Let u = m + 39. Give h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let s(a) = 3*a + 2. Let x(b) = 5*q(b) - s(b). Let h(l) = l**3 - 2*l**2 - l - 1. Let u be h(3). Determine x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 247763.33?\nAnswer: 743289.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 = 3. Suppose 2*z + 10 = 0, 0*i - f*i - 3*z + 1 = 0. Suppose -3*b + 31 = -29. What is the least common multiple of b and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2299 - -2299.3555. Round k to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043432 to 4 dps.\nAnswer: -0.0434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*3\/(-13). Let u = -183\/2369 - 1\/103. Put s, -1, u in decreasing order.\nAnswer: u, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -5*v**4 + 8*v + 4\/5*v**5 + 12*v**3 - 14*v**2 + 2. Factor s(j).\nAnswer: 4*(j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27.88927 kilometers?\nAnswer: 27889270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(1 + ((sqrt(78) - sqrt(78)*-3 - sqrt(78))*1)\/sqrt(6))*-3*2)**2.\nAnswer: 4320*sqrt(13) + 84960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -101320102310?\nAnswer: -101320102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186654779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)**(4\/7))**(2\/27) assuming r is positive.\nAnswer: r**(8\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1482360 and 24990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 26 = 2*m + 80, b - m = 54. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/213*(-27)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -17*k - 14. What is the remainder when 41 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0451172777 rounded to 4 decimal places?\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 4*n + 1. Let o(x) = -6*x**2 - 8. Let s(q) = -o(q) - y(q). Let a(d) = -d**2 + 2*d - 3. Let m be 1*5 + (14 - 10). Determine m*a(h) + 4*s(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let u = 1 - k. Let w(j) = 2*j + 1 + 4*j**2 - j**3 + 4 - 1. Calculate w(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -60, -72, -86, -102, -120, -140?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 4. Let c be -1 - 2*(-1)\/(-2). Let o(v) = 0*v + 0*v + v - 205 + 200. Determine c*o(i) + 3*t(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 6*w - 6. Let m be c(7). Let b(t) = 0 - 8*t + 18*t - 11*t - m. Give b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 7:10 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(114)\/sqrt(6)) + 1 + sqrt(19) - (sqrt(152)\/sqrt(8))**2*-1.\nAnswer: sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145246*k**2 + 125*k + 115*k - 240*k.\nAnswer: 145246*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Let x = w + -2. Suppose 5*h + 20 = -5. Which is the second biggest value? (a) x (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 19. Let s be m(5). Calculate the greatest common divisor of s and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {b: 2, m: 2, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(8\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 229 = 13*y. Solve -5 = 8*s - y*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3 + 10. Let i = 7 - p. Solve -4*j + i - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 9*s**7\/14 - 7*s**6\/10 - 3*s**5\/10 - 16*s. Factor l(o).\nAnswer: 3*o**3*(o - 1)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*n + 5*c, 2*n - c + 2 = 6. Suppose 7*l = 2*l + 30. Suppose -u + n*u - l = 0. Solve -20 = 2*x + u*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -705, -1417, -2133, -2853?\n\"Answer: -2*v**2 - 706*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - 2*x - 2. Let l be y(6). Let s be l\/77 + (-46)\/(-11). Suppose -5*d = -b - 30, 24 + 21 = s*d - 5*b. Solve d*w = w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/(-570))\/((-56)\/20)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 652556*m**4 + 35358722184*m**3 + 629391947085432*m**2 - 377048864299537548*m + 376419436993077372 = 0.\nAnswer: -54573, 1, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (15\/(-6) - 0)*-6. Suppose 4*a - d = -3*w, 3*a + 2*w = -0*w + 8. Suppose 0 = 3*l - a*l - 7*l. Solve -5*z + 4*x - 32 = l, -z + 3*z + x = -5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/19 + 4630\/2071. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 8. Let v = f + -3. Which is the third smallest value? (a) v (b) -0.3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - (-144 - (-72 - 68)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 2651 + 4048. Calculate the greatest common factor of 803 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (5166\/2706 + ((-2)\/(-11))\/2). Solve 5*u - x*m - 19 = 0, -u + 4*m - 52 = -45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117*d**2 + 6*d**4 + 123*d**2 - 7*d**4 + (-4*d**3 + 6*d**3 + 0*d**3)*(11*d + 21*d + 7*d).\nAnswer: 77*d**4 + 240*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6139, 12266, 18347, 24358, 30275, 36074?\n\"Answer: -4*f**3 + f**2 + 6152*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:22 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216305 and 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + k. Give o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 53.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20 + 1298\/132*-2. Put o, -0.38, 0.5 in ascending order.\nAnswer: -0.38, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 85 (c) 3\/7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6602655 - -16\nAnswer: -6602639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqcqaqc. What is prob of picking 1 d and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185611 - 63542. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*p**4 + 7*p**3 + 5305*p**2 - 5601395*p + 4.\nAnswer: 3192*p**2 + 42*p + 10610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**2 - 1. Suppose -5*o - 3*m - 12 = -2, -o + m + 6 = 0. Let g be c(o). Let i = g + -5. Solve 0 = -7*q + 4*q + 4*z, -3*z = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2 - (-1 - 1). Let g(q) = -q**2 + 19*q - 36. Let h be g(15). Suppose l = z, -k + h = z - 2. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111.89 or 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, -3 in ascending order.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 800456871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -3157167.\nAnswer: 7\/1052389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:59 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -157712453.\nAnswer: -315424906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + d + 47 = 0, 1 = -d + 2. Does 20 divide j - 20 - 57\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 17564210*z + 15425073646205.\nAnswer: 5*(z - 1756421)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4503 + 4497 - 8999 - 189*b)*(1 + b**2 - 1).\nAnswer: -189*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.35 - -0.35. Let w = 0.8 + 0.2. What is the nearest to w in p, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, -57, 0, -261, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, 1269, -0.1, 0.06 in ascending order.\nAnswer: -0.1, 0.06, 2\/7, 1, 1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3 (b) -0.03 (c) -51 (d) 221 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86661337*h**2*o**3 + 49*h - 196807*o**3 wrt h?\nAnswer: -173322674*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43128*a + 43123*a + 26 = -k, -4*k - 2 = -3*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2796 - -0.27927204. Round n to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 9189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1216)\/(-760))\/(4\/(-30))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/11, 2, -0.3, 64857, -16\/5?\nAnswer: 64857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 >= 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62075\/1792 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**4 + 3*t**3 + 3*t**2 + 3*t + 6. Let i(y) = y**4 - y**3 - y**2 - y. Let r(w) = g(w) + 3*i(w). What is the first derivative of r(c) wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23*q**3 - 2 - 72*q**3.\nAnswer: -49*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52397645 and 37080.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3508780 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 186 - 111. Let h be 4\/(-5) - 90\/m. Let x = -3 - -2.8. Which is the second smallest value? (a) x (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62 (b) -24 (c) -0.3 (d) 0 (e) -27.2 (f) 2\/13 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -242292, -484579, -726864, -969147, -1211428, -1453707, -1695984?\n\"Answer: m**2 - 242290*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/264 in 0.6, 65, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**(1\/2))**(-14))**(-1\/6))**(40\/9))**(-7\/4) assuming a is positive.\nAnswer: a**(-1225\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22*h**3 - 2*h + 3. Let l be z(1). Suppose 0 = 19*y - l*y + 8. Suppose y*i - 24 = 5*k - 3, 0 = -i - k. Solve -3*f = v + f - 24, -f - i = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7532622 bigger than 7532604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*v - 91684*v**3 + 2*v**2 + 213*v + 91685*v**3.\nAnswer: v**3 + 2*v**2 - 1056*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2 + 4 + (-99)\/(-3). Let u = v - -9. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 152. Let y be x(-12). Let l be 4 + (0 - y\/(-8)). Which is bigger: l or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = h - 99, 0 = -n - 4*h + h + 107. Let l = n + -92. Solve -l = -5*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-1)\/2)*(330 + (-2040619)\/6183)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 31 - 117 - 3*o + 42 + 40. Determine k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409.477 - 1205.2.\nAnswer: -1614.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 54360*z - 977830. What is m(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12896, 25765, 38598, 51377, 64084, 76701, 89210, 101593?\nAnswer: 113832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 320 = -9*z. Calculate the remainder when z is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-4)\/(-440)*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5362 - -5368. Let c(x) = 13*x - 2. Let p(l) = 25*l - 4. Calculate a*p(r) - 11*c(r).\nAnswer: 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -423*m**3 + 8*m**2 + 11*m + 8. What are the prime factors of n(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o*t**2 + o*t + 120*o with respect to t.\nAnswer: -34*o*t + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 81 = -5*q + 96, -q + o + 33 = 0. Let z be (1 - 7)\/(q\/(-72)). Suppose -z*i = -5*i + 7. Let g(l) = 14*l**2 + l. Calculate g(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -733.9 + 734. What is the nearest to -4 in t, -5, -33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153389)\/(-5862) + 60\/54*3.\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 12. Let x be o(6). Let l be 6\/4*8\/(-6). Let n be (-6)\/l*(-4)\/x. Solve 5*s + 4*f - 14 = 0, 2*s + n*s - 9 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 8544\/5125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*k**2 - 27*k**3 - 18*k**3 - 484 - 136 - 109*k**2 + 47*k**3.\nAnswer: 2*k**3 - 620","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - 6*c**2 + 6*c - 5. Let h(x) be the first derivative of -x**4\/2 + 5*x**3\/3 - 5*x**2\/2 + 4*x - 5. Give 6*h(k) + 5*j(k).\nAnswer: 3*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - x + 12 + 2, 4*i - 24 = 4*x. Suppose -2*r - 2 + i = 0. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -65.525. Round z to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 228. Let h(g) = -5*g. Give y(h(m)).\nAnswer: 10*m + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 2*t**2 - t**2 + (3*t + 0*t - t)*(4 - 4 - 3*t) + (-1 + t + 1)*(1 + 2*t - 1).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 5. Let c = -21 - -14. Let v be x(c). Suppose -15 - 25 = -v*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55392962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 3*k - 10. Let y be h(-4). Let a(n) = 3*n**2 + 1 - 4 + 2*n**3 + n + 2 - 2*n. Give a(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 35. Let x be (-10 + 5)*l\/10. Solve -c = x + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-96) - ((-245)\/(-42))\/(-7). Suppose -2*b - 2 = 6, -3*l - 4*b + 24914 = 0. Is j\/4 - (l\/8)\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2080633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 943 and 6592\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46614.8 + 46615. What is the smallest value in o, 0.22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361.2 minus -7720568811?\nAnswer: 7720568449.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 - 1) + 11662176. Suppose -m = -3*g + 21400009, 2*m + k = g - 31137829. Round m to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3533 = 6*q - 1501. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -12 - 18) + 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6491.8 + 6492. Is f smaller than 0.4016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1930, 1924, 1918?\n\"Answer: -6*q + 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (20 - 10 - (2 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20176 is divided by 6324.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/2235345 and -71\/168?\nAnswer: 17882760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331322 (base 4) in base 9?\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1120674 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19130 + -19050. Calculate the highest common divisor of 8240 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5154 divided by -2121.\nAnswer: -1718\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 153*k - 1372. Let v be j(9). Which is the biggest value? (a) -7 (b) 4 (c) v (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 6*y + 2. Let k be w(-6). Let f = -1 + 1.5. Which is the closest to -2\/9? (a) 3 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -24. Let i = t + -15. What is the tens digit of (-95 - i)\/((-6)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-100)*-5)\/(6\/90)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/723411 and 8\/26793.\nAnswer: 723411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/7, -1\/2267, -19, -4, 0, 2, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1442 and 15038.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2. Let i(u) = u**3 + 16*u**2 + 14*u - 10. Let t be i(-15). Let q(j) = 4*j - t*j + j - j. Give q(y(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g + 2. Let r be (2 - 1)\/(-2 + 3). Let k = r + 0. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3123*b - 6700. Let p be h(12). Do p and 30776 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(280\/(-98)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2044 + 2044 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -2, -0.08, -4, -149?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 43. Let m be h(13). Suppose m*l = 14*l + 15. Let v = -0.21 + 0.11. Sort -0.5, -5, l, v in decreasing order.\nAnswer: v, -0.5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {a: 1, g: 7, x: 12}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 61 + 14*d**3)*((1 - 2 - 1)*(d - 2*d + 0*d) + 2*d + 1 - 1 + 6*d - 2*d - 2*d) + 113*d - 1180*d**4 - 227*d + 114*d.\nAnswer: -1096*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, d: 1, v: 2, k: 1, c: 1}. Give prob of picking 1 a, 1 k, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = -3*n + 32. Let k = n - -184. What is the lowest common multiple of k and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 = -3*n, -44*n + 48*n - 3*w = -18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -639?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1721*o - 804*o - 867*o + 650 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or -8?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -654732.5 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 + 2*z + 1. Let y be (-18)\/81 + (-4)\/(-18). Suppose -5*i + 22 - 7 = y. Let t be a(i). Which is bigger: t or -21?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22729 is divided by 375?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00983 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -68*r - 444. What is b(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 1380 = 5*a. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -13 in increasing order.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -111 in descending order.\nAnswer: -1, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 1*sqrt(243) + 3 + 0 + -1 + sqrt(243) + 0 + -2.\nAnswer: -5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 1)*8\/(-6). Let y be 34\/(p*(-1)\/(-4)). Suppose -4*r - 41 = -5*x - 0*r, 4*x - 2*r - y = 0. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3313 = -114*c + 112*c + 5*g, -2*g = -5*c + 8230. What are the prime factors of c?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36098613 = 161*w + 36076395 for w.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q. Let v(m) = 8687 - 6*m**2 - 8687. What is b(v(o))?\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(176))*-5 - (-4 + -3 + 2*sqrt(176))**2.\nAnswer: -693 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h + 140. Let f be n(-9). What is the highest common divisor of f and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1396, -2941, -4536, -6181?\nAnswer: -7876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4 - 1 + d - 2*d + 0*d. Suppose 5*a = 8*k - 12*k - 20, -k + 3*a = 5. What is q(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -15, 2*d - 9 = 4*m + 5. Let n(j) = -2*j + 1. Let t be n(m). Suppose t*l = -2*f + 216, 7*l - 2*l - 5*f - 195 = 0. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s + (4*s - 5*s - s)*(5 - 2 - 1) + s - s + 3*s)*(3 - 3 + s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6864)\/3276 - (-4)\/42?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 11 + 20 + 13*h to y*h + n and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (203\/140)\/(0 + (-4)\/10) and 25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111841.\nAnswer: 3, 461, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2596551.46 to the nearest 1000.\nAnswer: -2597000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6360364 - -0.4.\nAnswer: -6360363.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161 + -177 + -1 + 48 - (-3 + 1 + 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0449 - 0.0451. Which is the nearest to 2\/3? (a) w (b) -2\/115 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283170 is divided by 171.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let y = -2.977 + -0.103. Let m = -3 - y. What is the nearest to k in -2, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))**11*h**(1\/3)*h\/(h**(2\/17)*h))\/(h**1*h**0\/h)**(4\/5) assuming h is positive.\nAnswer: h**(1133\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -42*y**5\/5 - y**2 + 2763*y - 255. What is the first derivative of q(w) wrt w?\nAnswer: -168*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2511694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345.5 + -519. Let w = -137 - f. Let k = w - 34.17. Round k to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117) + -1 + (sqrt(52)*-2)**2 - (5 + sqrt(13) + -4 - (sqrt(13) - sqrt(832)*-5))).\nAnswer: -412 - 86*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-64)\/(-80))\/(2\/455) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1752\/(-3648) + 2 + (-13)\/8.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 9 = -3*d, 2*m - 24 = 2*d. Suppose -2*h - m = -h. Let v(c) = -2*c + 11. Is 12 a factor of v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -20*y - 1. What is the remainder when d(-1) is divided by (2 - (-1 + 2))*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 16*p - 10*p**2 + 193 - 7*p - 7*p. Let l(o) = -3*o**2 - 2*o + 64. Let y(i) = -2*h(i) + 7*l(i). Is y(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*p = -105*p + 60395. Calculate the remainder when 1791 is divided by p.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. List the prime factors of ((-6)\/w)\/((-1)\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*c**4 - 320.\nAnswer: 344*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9653115 is divided by 283913.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/35 and 32\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2153 + 22.3?\nAnswer: 22.0847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/24 + 22\/20)*25\/9.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 40. Which is the third biggest value? (a) -1\/5 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549212, -2195587, -4939554, -8781119, -13720288, -19757067?\nAnswer: -26891462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - 11120?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005664329 rounded to six decimal places?\nAnswer: 0.000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3576502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*b + 148, 4*g - 5*b - 507 - 137 = 0. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 200 = 0. Let p be 4*(t\/(-4))\/(-5). Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3. Let n be j(1). Let o = 13 + -10. What is the second derivative of -5*t**3 - t + n*t**o + 3*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6156)\/(-5346) - (0 - 10\/55)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 138 = -5*b. Let s be b\/14 - -3 - 1. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 26*f**2 + 64*f - 115. Let y be r(-23). Solve y = 111*j - 170 - 718 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 3*p - 2, -5*c + 10 = -10*c - 2*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0*r + 3*r - 5*r. Let s(i) = 25*i**2. Give h(s(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v. Suppose -2*j + 12 = 5*a - 5*j, a + j + 4 = v. Suppose -4*k + 36 = -a*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = l - 31, -8 = -3*l + 4*k - 2*k. Calculate the greatest common divisor of 300 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, 2158, 0, -49 in decreasing order.\nAnswer: 2158, 4, 2, 0, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kuk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k**5 + 30565*k**4 - 9223780*k**3 - 30276615*k**2 - 6992190*k = 0.\nAnswer: -1786, -3, -1\/4, 0, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 15 = 19*b. Let h = 3 + 0. Factor 2*s - 2*s**b - 2*s - s**4 + s**2 - s**3 + h*s**5.\nAnswer: s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f - 25, 3*t - 4*f = 568. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x - 5 = 0. Let z = x + 2. Calculate the remainder when 16\/10 - 4\/(-10) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 28 = -39*f. Let p = -2 + 4. What is the remainder when (6\/9)\/(p\/39) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/6 + (-4)\/12. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 5 - 825*r - 508*r - 6665*r.\nAnswer: -7998*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1299329125 rounded to 4 dps?\nAnswer: -0.1299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -7*h**6\/120 + h**5\/12 + h**2\/2 - 6. Let i(t) be the second derivative of n(t). What is the third derivative of i(x) wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3776160 and 47202.\nAnswer: 3776160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45682987283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-6*2\/8). Let v(k) = k**3 - k**2 - k. Let g(j) = 5*j**3 - 13*j**2 + 3*j + 4. Let p(i) = -g(i) + 6*v(i). Calculate p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22312055 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-65) - 48\/(-10). Suppose 0 = -3*o - x*f + 19, -7 + 3 = -2*f. Suppose -100 = -2*t + 5*s, o*s = 1 - 7. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 176 + 4672*y**2 - 739*y**2.\nAnswer: 3933*y**2 - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-63)*(-21)\/(-6). Let z = -0.96 - 6.74. Let g = -8 - z. What is the second smallest value in -1\/2, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -251 + 242 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -140 - 5785799?\nAnswer: -5785929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*6 + 0\/(-8 + 4). Suppose 0*w + 4*f + b = 2*w, -2*w + 3*f + 80 = 0. What is the remainder when w is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 20, 5, -4 in increasing order.\nAnswer: -13, -4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = 2*a, 2*a - 36 = 4*a - 4*t. Let x(v) = v - 36. Let i be x(24). Let n be 14*(-4)\/(-6)*9\/i. Is n >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6294844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11789?\nAnswer: 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -2)\/1 + (-8 - 7 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 212*c**2\/3 + 1102*c\/3 + 296.\nAnswer: -2*(c - 111)*(c + 1)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(26\/(-3))*30\/45.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 73*q**2 + 6*q - 12. What is the thousands digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 10*r + 18. Let z be f(-8). Suppose -z*k = 5*u + 21, -k = 2*u - 6*k + 20. Let c = u - -23. What is the lowest common multiple of c and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 6248?\nAnswer: -6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22552*a**2*d*g**2 - 7*a**2*g**3 - 6*d*g**3 - 4*d*g - 929*g**3 with respect to a.\nAnswer: -45104*a*d*g**2 - 14*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of -1*7\/(56\/(-72)) - -1429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-7*x + 188 - 188) + 2*x + 1 - 1 + (-4*x + 0*x + 2*x)*(-1 - 4 + 4) - 3*x + 4*x - 2*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 30. What is the remainder when 32 is divided by (-25)\/(7 + -8) - i\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 + 2*d**3\/3 + 3*d**2\/2 - 2*d. Let b be -2*((-11)\/(-22) - 4). Give t(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*w + 42 = 0, -3*w - 168 = 5*g + 134. Let a = g + 60. Suppose 0 = 2*x - 0*x + 2*h - 22, -12 = -a*x + 3*h. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*p**2 - 543*p**2 - 3*p**3 + 182*p**2 + 181*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 2\/17, 4.5, -5, 6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23205 + -5738. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/7? (a) 3 (b) -0.5 (c) 5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 - 5*f + 16. Let s be y(3). Suppose -4*x = -d - 0*d + 19, -x + 2*d = s. What is the biggest value in -23\/5, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33702 + -2?\nAnswer: 33700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 99 + 39. Let k be 315\/25 + q\/(-20). Find the common denominator of 19\/18 and (9\/(-24))\/((-28)\/k).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981566?\nAnswer: 2, 490783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/150 and 56\/(-392)*(-274)\/72.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 34*p + 20. Let j be (-19 - (1 + -6)) + 3\/(-1). What is the remainder when 238 is divided by m(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.5, 2\/9, -4\/7, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ca54 (base 15) in base 11?\nAnswer: -123314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 1596?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*p**2 - 3*p + 3*p - 540*p**2 + 202*p**2 + 200*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/10 of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*f - 228*f - 1 + 1 in the form n*f + w and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436738 and 10286.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -236, -344, -444, -536?\n\"Answer: 4*d**2 - 128*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.39 in 1, 0.034, -4\/11?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 15, 49, 117, 231, 403?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5981 (b) 3\/14 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47377 - 331637\/7. Let c be 8\/(-14) - (-3 + 3). Let r be -3 + ((-4)\/2 - -1). Sort c, v, -0.5, r in decreasing order.\nAnswer: v, -0.5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -589622\nAnswer: 1\/294811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 4) + 205\/(-35) + 4. Let z = 107\/205 + -5\/41. What is the smallest value in -0.6, -0.2, z, x?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d6c97 (base 15) to base 7\nAnswer: -34103551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -5. Let o(f) be the third derivative of 13*f**6\/120 + 5*f**4\/24 + 3*f**3\/2 - 12*f**2. Let u(c) = 6*c**3 + 2*c + 4. What is g*u(k) + 4*o(k)?\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055316 divided by -87943?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 161 - 104 + 3*j + 5*j**3 + 6*j**3 - 59 + 2*j to the form a + y*j**2 + w*j + b*j**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/(-32)*(-5 - 69\/(-15)). Which is the second smallest value? (a) 2 (b) 1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k = 38*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-2\/3)*n)\/n))**22*n**19*n**(-11) assuming n is positive.\nAnswer: n**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfffeffscszvfzfcf. Give prob of sequence ve.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 - 3543901*o**2 - 23216*o + 301 wrt o.\nAnswer: 60*o**3 - 7087802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 8 = 0. Suppose r + 5*u + 19 = 0, 0 = 5*r - k*u + 55 + 13. Let l be r\/(-4) + 3 + -5. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 12*p**2 + 15*p. Let g be (-1)\/((-5)\/((-40)\/(-4))). Suppose 5*z - g*z - 33 = 0. What is the units digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 + 0*l**3 + 3*l**3 + (-5*l + 2*l + l)*(37*l - 35*l**2 - 37*l) + 9*l**3 + 19*l**3 - 7*l**3 to k + g*l**2 + z*l + u*l**3 and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365086 + 14898668 = 58*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from iininnnnqninnninnnq?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15172801717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2850842 divided by 2.\nAnswer: -1425421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3491397 months in years?\nAnswer: 0.029094975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 5*a - 1. Let f be r(-4). Solve -t - 4 = f*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4077*y**3 + 2*y**2 - 31*y + 28. Let n be c(1). What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 120, 268, 476?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (20 + -13) - (2 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1391912 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2 + -21)\/(1\/(-8)) and -2*(-858)\/104*(-8)\/(-6).\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 - o**2 - 28*o - 1. Let m(h) = h**3 + 7*h. What is 2*f(q) + 9*m(q)?\nAnswer: 3*q**3 - 2*q**2 + 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 7*q**2 - 8*q - 9. Let s be n(-6). Suppose -11 = -2*o - s. Suppose -o*d + 95 = -257. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 19. Calculate the common denominator of 10\/k - (-6 + 8) and -101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 292 = -4*y + 3*j, -4*y + j + 292 = 0. Let o = y - 73. Solve 8\/5*n**2 + 0*n - 4\/5*n**3 + o = 0 for n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59c (base 15) in base 6?\nAnswer: -5520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*1)*-6)\/(2*sqrt(11)*-1).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -2\/15*w**6 + 0 + 8*w**2 - 4\/5*w**5 + 8\/3*w**3 - 4*w - w**4. Let i(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4762 and 96482882.\nAnswer: 4762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/24990 and 23\/320.\nAnswer: 799680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 5}. Give prob of sequence si.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 3*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - h = -10, -155*w + 152*w = 5*h - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*p - 27 + 6, 27 = 5*y - 4*p. Let m be ((-3)\/2)\/((-12)\/32). Which is the closest to -0.1? (a) y (b) -26 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 + -4)*6\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + y**3 - 3*y**3)*(-50*y + 5*y**2 + 50*y) + y**5 + 0*y**4 + 0*y**4.\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 - 79*x + 21. What is y(-11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (18 - 18 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9917.345 rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3516 - -2105. Let y = q - -2705. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 + (-56)\/(-26). Suppose h*t - 62 + 52 = 0. Calculate the remainder when 9 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 24*d**2 - 13*d + 5. Let o be (4\/8)\/((-3)\/24). Let r(h) = 25*h**2 - 13*h + 6. Let y(j) = o*g(j) + 3*r(j). Determine a so that y(a) = 0.\nAnswer: 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(-221*(-72)\/(-18360))*2?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 + 105.9. Let y = a + -109.036. Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, 1392, 4817, 11472, 22431, 38768, 61557, 91872?\n\"Answer: 179*x**3 + 4*x**2 + 4*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 (base 13) in base 14?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*m - 66. Suppose 0 = w + 3*s - 2, 2*w + 5*s - 8 = -m*w. Factor -2*f - 8*f**2 + 7*f + 5*f - 95 + 91 + w*f**3.\nAnswer: 2*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*n = -456*n + 227*n - 14124. What is the highest common factor of n and 4173?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:06 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 5*u**4\/6 - 2*u**3 + 2*u**2 + 12*u. Let m be t(1). Suppose -4*p + 44 = 4. Solve -5*j = -5*n, -4*j - p = -m*j + 2*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13615 by -52.\nAnswer: -13615\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 149 = 590. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h - 1. Suppose 3*t = -p + 1, 4*p = p + t + 13. Calculate k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 34*v + 64. Give d(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 2. Let f(a) = a + 5. Suppose 0 = -w - 3*x + 11 - 6, -5*x + 10 = 0. Let n be f(w). Calculate s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229172 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -14. Suppose -5*k = -36 + 11. Solve -k*w + g*m - 7 = 25, -5*w - 16 = m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + sqrt(405) + 1 - 4*(0 + sqrt(405))))**2.\nAnswer: -54*sqrt(5) + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -7, 77.16, 7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*g - 48*g - 5070 = -172*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17529 and 573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.4. Let q = -0.03 - 0.37. Suppose -2*p + 22 = 4*t, -t + 0*p + 1 = -4*p. What is the biggest value in t, q, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - 11214?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -495.848 minus 58.9091?\nAnswer: -554.7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5090 - 1405 = -15*f. List the prime factors of f.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 + 0.13. Let d = 77 + -70. Let f be (-2)\/(-18)*(-13 + d). Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2981983, -5963990, -8946033, -11928112, -14910227?\nAnswer: -17892378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/(44\/(-77)). Is 1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:12 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let l(c) be the first derivative of -11*c**2\/2 + 59. What is n(l(b))?\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*s + 31 - 247 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 39*n - 66. What is d(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 - 56*s**2 + 20*s**2 + 16*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-35)*(-1185)\/(-316)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4808 divided by -12\nAnswer: 1202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**2 - 39*t - 262. Let y be s(-5). What is the highest common divisor of 74 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - 27. Suppose -20 = -5*j, -4*f - x*j + 2*j = -28. Suppose 2*t + t = g + 68, f*t = g + 46. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*z - z + 7*z)*(-19*z**2 - 57*z**2 - 119*z**2 + (3*z + z - 5*z)*(-3*z + z + 3*z)) in the form f + u*z**2 + a*z**3 + g*z and give a.\nAnswer: -3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 0*p**3 + 14\/5*p**5 + 0*p**4 + 15 + 0*p**2 - 11*p. What is the derivative of w(d) wrt d?\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away 2.48?\nAnswer: -35.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -4*h**4\/3 + 5*h**3\/2 - 14*h. What is the second derivative of k(m) wrt m?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 2*c**2 - 2*c - 4. Let f(b) = 1. Let p(t) = -24*t + 268. Let n be p(11). Suppose -4*w - 5 = -q, -7*q + 2 = -n*q + w. Give q*j(z) + 4*f(z).\nAnswer: -z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-7)*(-714)\/1275)\/((-4)\/(-70)). Solve -v*x + 6*x + 56 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3078 and 6897.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106695466031417 and -5?\nAnswer: 106695466031422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 + (-1479)\/(-630) + 0 and -121\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 <= 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42824 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*t + 10, 0 = -2*t - 4*w - 25 - 5. Let u(n) = n**3 + 9*n**2 - n - 7. List the prime factors of u(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l + 1 = -2*l, 4*n = -3*l + 19. Suppose -n*d = 6*d - 16370. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*b + 87, 2*r = -b - 0*b + 53. Suppose -r*t = -30*t + 3010. Let f = 1243 - t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 69, 93?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1118061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2\/9, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.5, -1\/6, 9, -2 in increasing order.\nAnswer: -2, -0.5, -0.3, -1\/6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) - sqrt(1715)*2 - 2*(sqrt(140) - sqrt(35)))\/(sqrt(7)*-1*4 + sqrt(7) + (sqrt(63) + sqrt(252)\/sqrt(4))\/sqrt(9))*-5)**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 0.1666.\nAnswer: 7.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 19*q**2 - 69*q - 270. Let y be v(-6). What is the greatest common factor of 405 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**3 - 4*j**2 + 166*j - 160. Calculate a(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 5. Let v be t(5). Let z = v + -6. Let a(r) = -14*r - 15. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1001385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*s - v - 4*v, -3*s = 3*v. Let t be s\/((-213)\/70 - -3). What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + 0*n - n)*(30 - 34*n + 81*n - 44*n) + 0*n**2 + 6*n**2 - 4*n**2 - 3*n + 3 to the form g*n + u*n**2 + q and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*d - 25, -2*d - 39 = 2*o + 3*d. Let b = o - -12. Let u be 3\/(6\/5) + (-48)\/(-96). Solve -v - t + 15 = u*t, -t = -b*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/2145*20\/(-4)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -6. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvddddvddddvd. Give prob of sequence vd.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2. Let o = 1\/10 - -1\/15. Let p(u) be the second derivative of o*u**3 + 0*u**2 + 0 - u. Calculate d(p(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167 - 345 - 809)*(-l - 2*l + 0*l**4 + l**4) to q*l + t + g*l**3 + v*l**2 + a*l**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14558 + 46*w**3 - 14571 + 13*w - w**2 + 29132 as f*w**2 + l + b*w + q*w**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 198480.252 rounded to the nearest 1000?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*o = -509*o + 10 + 2. Let h(t) be the first derivative of t**4\/2 + 2*t**3\/3 + 4*t**2 - 12*t + 1. List the prime factors of h(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489405 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: Simplify -6*((-2*(5 + sqrt(1088) + -2 + sqrt(1088)))**2 + -1).\nAnswer: -104658 - 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 3, h: 7, s: 5}. What is prob of sequence hp?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*g = -10, n - g - 2 = 5*n. Let l be n\/((-2)\/(4 + -3)). Suppose -3*t - 5*t + 16 = l. Solve 4*k = 3*z + 9, -17 = -4*z - 5*k + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 divided by 1962?\nAnswer: 131\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3782 is divided by 3759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, 1 p, and 1 j when four letters picked without replacement from {w: 1, p: 3, k: 1, m: 4, j: 2, a: 1}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1\/5 (c) 9\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*c - 348 with respect to c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, 3, 0.5, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/11, 2, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14010324 and 564?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 1143 = 2*n - 15*i, 0 = -3*n + i + 1708. What are the prime factors of n?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y + 225 - 16*y - 333 to a*y + q and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, 95, -4 in descending order.\nAnswer: 95, 1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 654, 695, 764, 867?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -2*s + 4*o, 3*s = -2*s - o + 491. Let j = -40 + s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359152?\nAnswer: 2, 71, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*u + 383 = 387, 4*z - 22*u + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s**3 - s**2. Suppose 26*y - 12 = 4*g + 25*y, 4*y - 35 = 3*g. Give j(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, -4, -2 in descending order.\nAnswer: 5, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, x: 3, o: 5, l: 1, t: 1}. What is prob of sequence mty?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/4 + s**2 + 249*s + 50. List the prime factors of l(0).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from tlttttltuttjgf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -6 (b) 0.5 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 <= -163908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 != 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/62*20\/(-105)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 - 38.28. Let a = 110 + r. Let n = a + -72.015. Round n to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 14\/29 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1474 and 0.5?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + x + x, -3*q + 5*x - 1 = 0. Let f be (q - 1)\/(-6)*0. Suppose -2*m + 6*m - 8 = f. Solve 2*h + 0*h - m = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 7 + 5. Sort -5, -6, i in descending order.\nAnswer: i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 - (-9 + 7 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 15. Let q be z(-4). Let f be (1107\/(-36))\/(1 - (q - -3)). Is f greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -73bbd25?\nAnswer: 73bbd21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.413968 rounded to 3 decimal places?\nAnswer: 22.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 421*p - p**3 - 421*p - p**2. Let r(t) = -6*t**4 - 2*t**3 - 6*t**2. Let v(n) = 2*m(n) - r(n). What is the third derivative of v(s) wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 53. Suppose 3*p + t - z = 3*t, p + t = 18. What is the remainder when 51 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/4094 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 463*u + 897*u - 291*u - 34*u - 63135 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 1643*p**2 - 7326*p - 3081. What is o(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(-7*24\/588)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - m - 572 = 36*v, 0 = 5*m + 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314735*k**2 - 629458*k**2 + 314726*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86a + -4dc?\nAnswer: 37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {v: 1, y: 2, n: 1, z: 4, k: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 3*c + 5. Is y(5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**3 - 2*v**2 - 5*v**3 + 0*v**2)*(-23 - 5 + 8) in the form s*v + n*v**2 + m*v**3 + u and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 9. Let t(f) = 3*f + 18. Let v(x) = 5*g(x) - 3*t(x). Let r(p) = -1. Let n(z) = 3*r(z) - v(z). Determine n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 508, 464, 458, 490?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r - 6*p, 3*p - 6*p + 90 = 3*r. What is the lowest common multiple of 220 and r?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-4) - (-118)\/56 and ((-5)\/(420\/(-152)))\/(15\/((-135)\/8)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 46 - 4 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13076 and 6.\nAnswer: 39228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4518778 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24660.257434 and -1.8?\nAnswer: 24658.457434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/210 - z**6\/40 - z**5\/20 - z**4\/24 - 39*z**2\/2 - 31*z. Let n(p) be the first derivative of s(p). Solve n(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19755804 is divided by 6585268.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3108*o**3 - 8*o**2 + 28. Let m(h) = -1035*h**3 + 3*h**2 - 10. What is -5*l(r) - 14*m(r)?\nAnswer: -1050*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164176623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, 0.3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9) + -1)\/(8\/(-96)). Suppose 5*r - 1511 = -k*x, -3*r + x - 487 = -1380. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32807\/15981 - -4\/761. Find the common denominator of t and -14\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(-6 + (-1 - 17\/(-2)))\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/375036 + -294302\/1093855. Let w = -86033\/35 - -12277\/5. Let r = w - s. What is the common denominator of r and 13\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125560 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159887795?\nAnswer: 5, 1021, 618979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 311170897 to the power of 1\/2, to the nearest integer?\nAnswer: 17640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 + 1077 = 6*t. Suppose -10*k = -k + 279. Let z = k + t. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41100 (base 6) to base 14.\nAnswer: -1da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 663*c + 4*c - 10005 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95 and -0.4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:25 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/43 at least as big as -0.0731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let x(u) be the first derivative of -3*u**3 - 17*u**2\/2 - 3*u + 16. Let b(g) = 3*q(g) - x(g). Find the second derivative of b(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3708 - -764?\nAnswer: -2944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4 + 2. Let x(q) = 0*q + w + 0*q - q. Let j(s) = s - 2. Let u(v) = 7*j(v) + 6*x(v). Differentiate u(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/6 + 7*z**3\/6 + 11*z**2. What is the first derivative of x(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 4 + 16 + 0 + (-14 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b + 56. Suppose -x - 14 = -5*x - 2*a, 0 = 5*x + 3*a - 15. Let r be h(x). Solve -17 = 5*u + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 11 - 2*-2. Suppose 0 = p*s - 1514 + 257. Let o = -212 + s. What is the greatest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Let h = -1 + -2. Let r be h\/(1 - u) - -2. Solve r = -3*c + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 + 16\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -648 + 816. Suppose 3*d + d = 224. What is the highest common factor of d and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1831*u + 600. What are the prime factors of b(3)?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*f - 4*f. Suppose 66 = 3*k + 2*d - 5*d, 0 = -k - 3*d + f. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**3 - 13*y - 4. Let l = -1402 + 1391. Let w(m) = -2 - 6*m - 5*m**3 - 3*m + 2*m. Determine l*w(j) + 6*f(j).\nAnswer: j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 + -206. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*c = -65, 580072*j + 5*c - 47 = 580075*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 3*q - 1. Let p be s(1). Solve -5 + 2 = -p*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h. Suppose 4*t + 0*t - 16 = h. What is the lowest common multiple of t and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 282*j**2 + 282*j**2 + 3*j - 3*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**7\/2520 + p**6\/240 - p**5\/120 + p**4\/2 + 3*p. Let h(u) be the third derivative of o(u). Let q be h(2). Is 2\/3 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/((-2)\/(-4)). Let f = -9028 + 857708\/95. Let k = f - 2\/19. Is z > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/1242737?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(38) - sqrt(38)*-1) - sqrt(76)\/sqrt(2)*1)\/(-3*((sqrt(2) - 6*((sqrt(2) - (sqrt(32) + sqrt(2) + sqrt(2))) + sqrt(2))) + sqrt(2))).\nAnswer: -11*sqrt(19)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172640?\nAnswer: 2, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 16092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 2*h**2 - 6)*(4*h**2 - 4*h**2 - 2*h**2).\nAnswer: 4*h**4 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -489 by 163.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*m - 5, -3*k + 116*m = -53*m - 184 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 188 = -28*u. Suppose 14*m - 5*m**u - 12 + 1\/2*m**3 = 0. What is m?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699*j**2 + 476*j**2 - 2171*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 - 479 = 4*j. What is the remainder when j is divided by 6\/8 + (-34)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-78)\/(-12) + (-1)\/2. Let f = -7 + 11. What is the third derivative of b**6 + b**2 + n*b**4 - 17*b**f + 11*b**4 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + (-15 - ((-5 - 2) + -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2. Let m be (-1)\/3 - 32\/(-6). Let x(i) = -m*i - i + 3*i + i. Give x(j(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573*x - 1580*x + 3153*x + 10*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -186, -435, -788, -1245, -1806?\nAnswer: -2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.213289mm to kilometers.\nAnswer: 0.000001213289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223 + (4\/(-8))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1676 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 4, 172, -5, -2.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-724)\/7602)\/(2\/(-189))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208)*-1)\/sqrt(8))\/sqrt(2) + sqrt(130)\/(sqrt(10) + 1*sqrt(10)) + sqrt(26)\/(-1*sqrt(2)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = -4. Let m be 0\/(n - -1) + 3000. Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3291642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.009 + 0.977. Let d = b - 1. What is d rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3826499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -37 + 6 - 172*a - 4. Is v(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - v = 35, 2*h + 2*v - 41 = -3*v. Suppose 0 = h*d - 5*d. Let f(s) = s**2 - 6. Give f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/200)\/((-2)\/(-10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22221230102 (base 4) to base 5.\nAnswer: 1203322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 = 3. Solve 3 = -h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 19. Let k be 2\/8*n*0. Suppose k = -6*c + c + 80. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*x + 1 - 3, -5*z = -4*x - 1. Let j be x\/(((-3)\/28)\/(14\/(-4))). What is the greatest common divisor of j and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -108*j + 60*j - 72*j - 10 - 59*j. Let z be l(-1). Suppose -r + z = 3*a + 2*a, -875 = -5*r + 5*a. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2227.0051 times -0.7\nAnswer: 1558.90357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -963, -8, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, -1, -8, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -379682 divided by 829\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8*t - 22 = 6*t, 3*q + 7 = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 1. Suppose -5*q + 3*o = 21, 5*o + 59 - 14 = -5*q. Let l(c) be the second derivative of 7*c**4\/12 + 3*c**2 - 16*c - 2. What is q*g(y) + l(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 + 329. Is (-196948)\/(-12) - p\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/12*(-40)\/35. Let u(m) = -4*m - 16. What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783739 is divided by 1918?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 217 = -2*u, 2*i - 162 = 3*u. What is the highest common factor of 550 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {t: 1, r: 5, d: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3*a + 2. Let j be b(2). Suppose -t + 3*i = 5*i - j, -10 = -t - 4*i. What is the remainder when 12 is divided by (28\/(-8))\/(t\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = -3*d + 33, 2*p - 4*d = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*1*(-2)\/4. Suppose 12 = 4*c - s. Let g(p) = p**2 - 7*p - c - 3 + 4*p. Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/(24\/1))*125\/700?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289770271 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/5 + 259*o + 2594\/5 = 0.\nAnswer: -2, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204892754 to the nearest integer?\nAnswer: 14314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -204*z + 168. Let n(k) = 51*k - 42. Let b(d) = 9*n(d) + 2*v(d). Find the first derivative of b(y) wrt y.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((198\/(-27))\/((-4)\/(-6))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**2 + 22. Let i(g) = -747*g**2 - 751*g**2 - 26 + 1492*g**2 + 33. Calculate 16*i(m) - 5*j(m).\nAnswer: -6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 2\/17, 2\/413, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.002678 (c) 3\/7 (d) -88 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20458 (b) 2 (c) -4 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-1)*6*35\/252. Solve z*k + 3 + 2 = 0, 2*k = 2*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 2*j - 2. Give x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0, -3\/31, -3, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121000020 - 21220?\nAnswer: 120201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/65*10\/6)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8*h - 6*h. Let g = -34\/3 + h. What is the closest to 1\/4 in 3, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8154738 and 432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -541 + 36002?\nAnswer: 35351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*h**3*o - 21*h**2*o - 2*h*o - 4559*o wrt h?\nAnswer: -69*h**2*o - 42*h*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 43.\nAnswer: -33\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 21 - 3 = 0. Let i be x*1\/39*2\/(-1). What is the biggest value in -0.1, -0.03, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*6\/9 + (-13 - 133\/(-27))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112360, -1112348, -1112336, -1112324, -1112312?\nAnswer: -1112300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-171) - 2018\/(-38). Let w = 163\/3 - h. Let k be (-1)\/14*1*20. What is the biggest value in w, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.22 + 31.42. Let s = r + -25.2158. Round s to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*c = -5, -r - 3*c - 3 - 2 = 0. Solve -5*i + g + 6 = 0, 5*i - 5 - 4 = r*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -560017, -560012, -560007?\n\"Answer: 5*y - 560022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(7\/4)\/(y**2\/y**(-2\/9)))**50 assuming y is positive.\nAnswer: y**(-685\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6*5\/6 - -720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 48*j**3 + 61*j**3 - 6*j**2 + 5*j**2.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 7}. Give prob of sequence cc.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932642019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*r + 167*r - 2400 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17, -1\/3, -8\/9, 3, 4, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from aaaiaiaaaaivea?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.18 (b) 19 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80.8 + -26.2. Let v = g - -106.999999615. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6758.4 + 6758. What is the second biggest value in 2\/91, q, 4, -1?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose 105 = 6*g - 11*g. Let j = g + 24. Solve j = -r*a + 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23494*m. Let p(h) = -11805772*h. Calculate 2512*j(s) + 5*p(s).\nAnswer: -11932*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 4.152?\nAnswer: 1.2456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 7*d**4\/6 - 10*d**3\/3 - 19*d**2\/3 + 2*d - 805. Factor x(f).\nAnswer: 2*(f - 3)*(f + 1)*(7*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-4))\/((-13)\/52). Let o be m + (-5)\/(1855\/2996). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 + 3*r. Let d be c(1). Let g(z) = -z**3 - 5*z**2 - 4*z - 6. Calculate g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165080 divided by 665?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 3*o)*(6*o**2 - 6*o**2 - 6*o + 2*o**2 + (2*o - o - 4*o)*(-2*o + 2*o + 3*o)).\nAnswer: -7*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27\/2 - 600*v**2 - 180*v = 0.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395159 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 8 = -2*a - 9, -5*f - 8*f - 3*a = -13*f + 20 + 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 6)\/(-1 + 0). Let w(g) be the second derivative of g + p - 1\/2*g**4 + 1\/3*g**2 + 2\/9*g**3 - 3\/5*g**5. Determine i so that w(i) = 0.\nAnswer: -1\/2, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/34 - (-7399999)\/2. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x + 2*x. Suppose -3*v - 2*t - 4 = 0, x*v - 6*v = -2*t - 18. What is the third derivative of 22*z**5 - 4*z**5 - 53*z**2 + 41*z**v wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8485 divided by 6718.\nAnswer: -8485\/6718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*b + 715. Let d = b + 630. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76889*b + 76878*b - 153707*b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.2 + 37.20851. Round a to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8.9 (b) 6.33 (c) -10 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19305*f**2 + 6369*f**2 + 17 + 6281*f**2 - 20 + 6386*f**2.\nAnswer: -269*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1502*t + 27020. Determine s(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92 or -5.6?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (228 - 85) + -1 + (16 - 2).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4870805199 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 20.195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -987219*b**3*p - 2*b**2*p**3 - 2*b**2*p**2 - 340*b*p**2 - 2*b + 7*p**3 - 38*p - 2 wrt b.\nAnswer: -5923314*b*p - 4*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -v + 3, 4*r - 3 = -5*v - 0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 35*q**2 + 158*q + 3658. Determine d(-33).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713 + 5*a**3 - 4*a + 4*a**4 - 716 - 4*a**3 - 2*a**2 to j*a**4 + z*a + k + l*a**3 + i*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1229 divided by -413\nAnswer: 1229\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20746 divided by -253?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 132*p - 3035. Determine z(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-18))\/((-6)\/(-1004)). Suppose 5*q - s - 14 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t + 4*b + 2, b + 18 = 5*t. Calculate the remainder when 3 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 123043.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -28 - 10 - (-4 + (4 - 0)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2944*d**2 + 143*d**2 + 5*d**3 - 11*d**3.\nAnswer: -6*d**3 - 2801*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2523*o + 1915 = -608 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 - 3*p + 6. Let u be m(4). Let a = -11 - u. Let l(k) = k + 5. Does 4 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 47\/3 - 380\/228?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1253*k - 95115. What is t(76)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -457*g - 17847. Give h(-39).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.15 + 0.15. Let i = 0.9 - 0.9. Is f greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 5248095.\nAnswer: -5248063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c**2)*(-3*c + c + 0*c) - 4*c**2 + 5*c**2 - 5*c**3 + 4*c**3.\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose 0 = -3*l - l + 12. Suppose 4*b - 10 = 2*z, 5*z + 0 = -l*b + 1. Solve t*j - 12 = 5*p, -b*j + p = j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451 - 3152?\nAnswer: -4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:01 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 41. Suppose a = 3*a - m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:47 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 38 - 2. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10 = -20. Suppose -2*c + 69 = -33. Suppose -c = 5*x - 201. What is the greatest common factor of x and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -1521, -2285, -3049, -3813, -4577?\nAnswer: -5341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 2 + 2 - 3*m**2 + 3*m**2 + 2*m**2 + (-3*m + 0*m + 2*m)*(0*m + 3*m - 5*m) - 6*m**2 + 3*m**2 + 2*m**2 as i*m + a*m**2 + u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05156 less than -6.9?\nAnswer: -6.84844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k*k)**41\/(((k*k**8*k)\/k)\/k**8) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6072.74903 to zero dps.\nAnswer: 6073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 1\/4, 2, 3.1, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p - p - 10*p)*(-1 - 2 + 1)*(-1 + 2 - 3)*(23*p + 7 - 7).\nAnswer: 184*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39338675, -78677350, -118016025, -157354700, -196693375?\n\"Answer: -39338675*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12192752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 1, b: 2, m: 1, h: 2, l: 10}. Give prob of picking 1 l and 2 y.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*j**2 - 10 - j**4 - 2*j**3 - 96*j**2 + 48*j**2 in the form k + p*j**3 + v*j**2 + z*j + b*j**4 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.47956 and -0.1035383105.\nAnswer: 0.3760216895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15404 - 9081. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + b?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1095416\/13 or 84264?\nAnswer: 1095416\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*(2\/4 - -5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**8*n)\/(n\/(n*(n*n**(-4))\/n)))**37)**(-5\/14) assuming n is positive.\nAnswer: n**(-925\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -7 + -22 - (-293 + 346).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*a + 23, 0 = -2*h + 3*a + 7 + 29. Suppose -4*w + 18*z = h*z - 17, w = 3*z + 11. Solve p = -q - 6 - 2, w*q - p + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361102 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 297275*r**4 + 402*r**2 + 159422378.\nAnswer: 1189100*r**3 + 804*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400547 is divided by 133115.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/62)\/4)\/((44\/33)\/4).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 11*g + 3. Let l(h) = -4*h**3 - h**2 - 21*h - 6. Let x(z) = 11*i(z) + 6*l(z). Let j be x(-2). Sort 4, j, -16, 5 in descending order.\nAnswer: 5, 4, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)\/(z**(1\/2)*z*z))\/(z**(2\/5))**(-1\/27))\/((z*z**(-3)*z*z)\/(z\/(z\/z**(-5))))**(-29) assuming z is positive.\nAnswer: z**(38371\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 16*g = 160. Does 10 divide (6 + -46*(-3)\/(-12))*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -576 + 32?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -119 and -1721303.875.\nAnswer: -1721422.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 8*f**2 + 20*f**2 + 3 as k + r*f**2 + j*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -15*m + 20*m + 22, 0 = 5*m + 10. Suppose -p*w - 9 + 18 = 0, 3*z - 3*w = 6. Solve 2*f = -t, 10 = z*f - 0*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -51*s - 6. Let k be (-9)\/(0\/4 + -1). Solve -s*x + k = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -102. Let g = x - -517\/6. Calculate the common denominator of -97\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2392\/(-115))\/(-1 + 226\/230). Let a be 2\/13 + (-184)\/n. Find s, given that -2\/15*s**5 + 0 + a*s**4 + 4\/15*s**3 - 2\/15*s + 0*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(75\/30). Let c be (2630\/80)\/(25\/(-20)). Let t = c + u. Calculate the common denominator of 19\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/100? (a) -0.02 (b) 56 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -230*l**3 - 2*l**2 - 1. Let p be w(-2). Suppose 2462 = -2*t - 2*t + 5*g, p = -3*t - 4*g. Let j = t + 2576. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 41. Solve q = -5*p - 3*u, -20 = -0*p + p + 5*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*a - 204*a + 14 - 4 + 71*a + 66*a in the form p + f*a and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhk when four letters picked without replacement from khhhkkhhhhkhkkkkhhhk?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*p - 180*p. Which is smaller: p or -4\/65?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**14*q*q)\/q)\/q*q**(-9\/4)*q*((q\/(q**(-4)\/q)*q)\/q)**38 assuming q is positive.\nAnswer: q**(963\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 30*o + 2947. Let g be t(-52). Calculate the highest common divisor of g and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 10*z = -294 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -49052?\nAnswer: 8\/12263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - (-4*sqrt(88) - sqrt(88))))*-3)\/sqrt(8)*5 - (-1*(sqrt(1331) + 0 + -2))**2.\nAnswer: -1335 - 61*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 + -6 + -3 - 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 + 153*i**3 - 162*i**2 - 312*i = 0. What is i?\nAnswer: -52, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 291\/9 - 0 - 6\/18. What is the units digit of 21\/1*(-1 + a\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/19))**(-21)*v**5*v**(-1\/19))**37)**30 assuming v is positive.\nAnswer: v**(57720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*l - 43, 2*l + 3 = 5*s - 94. Solve 0 = -4*q + z - 10 + s, 2*q - 5 = z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729 + 813 + -51 + 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j + 149. Let c = -99 - j. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3646131 and 166878?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - y - 2*y)*(319 - 319 - 919*y - 2184*y) in the form w + h*y + b*y**2 and give b.\nAnswer: -3103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*d - 2*d. Let u(q) = -3*q**3 + q**2 + 6*q - 1. Let r(f) = -4*f**3 + 7*f. Suppose -5 = -0*p - p. Let t(w) = p*u(w) - 4*r(w). What is t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250629525 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 1 + 1 + 14*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 73 = 3*q - 196, -q = -2*l - 41. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 2*q + 34, -y = 4*q + 22. Let b = 217\/4 + -395\/4. Find the common denominator of b and 194\/132 - 3\/y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j + 140. Let n be ((-186)\/248)\/((15\/36)\/(-5)). Let u be h(n). Solve -b - u = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 6)*(-4)\/6. Let a = i - -5. Is -3 + (a - -135 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1508 - -1039. Let k = 471 + t. Is k bigger than 0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14536825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -78055 < 754\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -789a84 (base 14) in base 3?\nAnswer: -21201020120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21992*x - 17745?\nAnswer: -21992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 - 8*o + 7. Let q(m) = 6*m**2 - 8*m + 6. Let i(x) = 6*q(x) - 5*t(x). Suppose 42*f - 498993 = -498699. What is i(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 - 602*s + 2*s**3 + 17*s**2.\nAnswer: 2*s**3 - 602*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l + 9. Let o be h(0). Let t be 2\/6 - 3\/o. Find the second derivative of 3*c + c**5 + c**5 + t*c wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 27 = -3*i. Suppose 41 = d - i. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/84*g**4 - g**2 + 0*g**3 + 0 + 1\/210*g**5 + 11\/735*g**7 + 0*g - 1\/294*g**8 - 3\/140*g**6. Solve f(p) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 6 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (177*s**2 - 98*s**2 + 208*s**2)*(2*s**2 + 2 - 2) - 1 + 3*s**4 + 1 in the form k*s**3 + g + a*s**4 + x*s + c*s**2 and give a.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, r: 5}. Give prob of sequence rxxr.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -4*a, 0 = -5*y - 3*a + 12 - 1. Let q = 4 - y. Suppose q*u = 22 - 1. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260865 - -469874. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 19*g**2. Let t(i) = -1495 - 3*i + 1495 + i. Determine t(j(x)).\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -5, 7\/40, 0, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -886? (a) -1 (b) 0.3 (c) -2859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56902 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2)\/2 - (-756)\/(-256). Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88215237 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**5*y)\/((((y\/y**(-4\/5)*y*y)\/y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 124*(1058403\/6)\/1. Let h = 32573662 - l. Round h to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1600 and -49\/2752.\nAnswer: 68800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-916 - 4*l**2 + 829 + 3*l**2)*(-4 + 5 + 1) + (-3*l + l + l)*(-2*l - l + 0*l).\nAnswer: l**2 - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**3 - 2*z**2 - z. Let a be b(2). Suppose 4*i = 13*i - 1035. Suppose -5*n + i = 2*j, -a = -n - n + 5*j. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71213 = -2*b + 71099 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/55205?\nAnswer: -21\/55205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 118, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-400))\/((-16)\/(-40)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 2986.173.\nAnswer: 0.3, 4, 2986.173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 3, -80, -189 in descending order.\nAnswer: 54, 3, -80, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-2)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/30 + (-2)\/(-15)*1. Let r(u) = 15*u**3 - 2*u**2 - u. Determine r(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -295026*j*v + 40639495*j wrt v?\nAnswer: -295026*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {j: 1, m: 1, y: 1, o: 2, k: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1314)\/(-146) + -1*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let c = t + 4. Let j = 0.3 - c. What is the biggest value in j, -0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 794421, 1588831, 2383237, 3177639, 3972037, 4766431?\nAnswer: 5560821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*u + 28, -u + 0*u + 3*d = -13. Let k = -9 + u. Suppose k*f - 1756 = -4*c + 3*f, -5*c - 3*f = -2195. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 2, -18, -56, -118, -210, -338?\n\"Answer: -c**3 - c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/30)\/(4\/6). Let i = 19 + n. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36358 divided by 2\nAnswer: -18179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -2, -37537?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 397, 791, 1319, 1981?\nAnswer: 2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**3 - 3*l**2 + 3*l + 5. Let c(k) = -4*k**3 - k**2 + 2*k + 3. Suppose -3*h = -0*h - 15. Let m(j) = h*c(j) - 3*g(j). Give m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 108 = -11*n. Let x be (1204\/20 - -2) + n\/15. Let d = 99 - x. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -202 + 1171?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - f - 5 - 29 = 0, 0 = -2*a + 2*f + 12. Find the first derivative of -2*j**2 + 4 - 1 - a wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392082723 divided by -3.\nAnswer: -130694241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344837?\nAnswer: 419, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3. Let x(m) = 4*m**3 - 8*m**2 + 7*m. Let f(a) = -6*i(a) - 2*x(a). Factor f(q).\nAnswer: -2*q*(q - 7)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 144973 = -145441 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164776 is divided by 947?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12774299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (240\/(-14))\/(12\/(-126)). Let k(z) = z**3 + 43*z**2 - 141*z - 111. Let t be k(-46). Calculate the highest common divisor of y and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11359 and 537610.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*y**3 + 1122205*y**2 - 23324798*y?\nAnswer: 66*y + 2244410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/4, -5.8 in descending order.\nAnswer: 3\/4, -5, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404402 is divided by 958.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + (-7)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8238912 and 3384?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 2*d - 1. Suppose 18*m - 187 - 623 = 0. Suppose 44*q + 2 = m*q. Determine w(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -30. Suppose y + 2*y - i = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286 - 283. Let l be (11886\/(-10) + k)*850\/51. Round l to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 9:58 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 3. Let r be k(5). Let v be (-2)\/(3\/r*-2). Suppose 0*l + 148 = 4*s + v*l, s = -5*l + 53. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 19 = -5*c, 0 = -0*c + 4*c - 5*g - 7. Suppose 2*p = 5*y - 307, -32 - 161 = -c*y - p. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -274036500 to the nearest one hundred thousand.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 1\/22, 1\/4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 206.12. Let q = o + 0.12. Which is the closest to 2\/7? (a) q (b) -2\/5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22613 - 45225 + 22612 + w**3 + 2*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose 5*n + 15 = u, q + 6*n - 3*n = -7. Find the third derivative of -4*o**6 - 3*o**6 + 4*o**6 - 3*o**q wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103183.\nAnswer: 103183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:45 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -269d3f (base 16) to base 11.\nAnswer: -1479327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - sqrt(14)\/sqrt(2)) + 4 + sqrt(7) + 0.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 140\/8)*(111\/(-30) - -2)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 4\/7 (c) 206 (d) -0.5 (e) 48 (f) -2.3 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 - 8*d + 8. Let y be v(-8). Let h = y - 8. Suppose h = -5*r + 4*r - 3*n + 34, -41 = -2*r + 3*n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -113*n**2 + 1. Let q be j(-2). Let s = 946 - q. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l - 4*m + 5, -2*l - 2*m - 8 = 0. Is (1 - 926\/4)*(l - -2) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9331 (base 11) in base 4?\nAnswer: -3001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13421 + 65014. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + -1 + (124 + -59 - 65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/84*966\/1035.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -56. Let g be (6 - 5) + -1 + t. Suppose -r - 3453 = -g*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 24. Suppose -2*o = -3*c - 12, -4*o - 8 - w = 5*c. Suppose 2*j - 4*y - 72 = o, 6*j - 4*j + 4*y - 80 = 0. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -590 or -558?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5553, -5547, -5537, -5523?\n\"Answer: 2*o**2 - 5555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - ((-33 - -32) + (8 - 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587, 2367, 5315, 9413, 14643, 20987, 28427?\nAnswer: 36945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = -5*d - 49. Let m = d - -273. Suppose -5*f - 196 = -u - 44, -u + m = -f. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*i**2*l**2 + 11*i**2*l - i*l**2 - i*l + 4*l wrt l.\nAnswer: 270*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7867.9 + -7868. Sort 97, l, -3, -3\/7 in ascending order.\nAnswer: -3, -3\/7, l, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/60 + 1\/4. Let x = 125 + -497\/4. Which is the closest to -1? (a) -1\/3 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17*t**2 + 8*t. Let y(b) = 6*b**2 + 3*b. Let v(k) = 3*c(k) - 8*y(k). Let d(f) = 4*f. Calculate d(v(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-16))\/(2\/(-4)). Let t = 17 + -12. Let w be ((-4)\/(-6))\/((-6)\/(-171)). Solve 1 - w = -5*y - 4*z, -d*y = t*z - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776082?\nAnswer: 2, 3, 129347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2295)\/(-18))\/85)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hhbh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2076*r = 2077*r + 211381, t = -2*r + 42274. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1 - 1)\/2. Suppose r - 14 = l, h = -l + 4*r - 5 - 18. Let u = l - -22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3219 - 16132\/5. Calculate the common denominator of -18\/481 and w.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927175*i**3 - 1854399*i**3 + 927228*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-2)\/4. Suppose 4*z = -4*i - 184, -z = -i - 3*i + 61. Let a = -45 - z. Solve k = m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18016599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(-3)\/(4 - 10). Suppose m*d - 86 - 309 = 0. Suppose 2*b - d = 17. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12602*a**4 - 772*a - 11704542 wrt a.\nAnswer: 50408*a**3 - 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*o*o)**(-39)*o\/(o*o\/(o\/(o\/(o*o**(-21))))*o)*(o**28\/o)\/o assuming o is positive.\nAnswer: o**(-109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 + 7*i**2 - 7*i - 9. Let c be ((-58)\/4)\/(3\/(-6)). Suppose 0 = -5*t + 6 + c. Let g(p) = 2*p**3 - 3*p**2 + 3*p + 4. Give t*g(h) + 3*l(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - s - 1 + 0*s + (5 - 5 - 1)*(-s - 3 + 3).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2197.4 + 2377.4. Which is the second smallest value? (a) v (b) 40 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -762 * -0.0496811.\nAnswer: 37.8569982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**10\/i))**(-6\/11))**(-20) assuming i is positive.\nAnswer: i**(-960\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhhuhuuuuu. What is prob of picking 3 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 653940, 1307880, 1961820, 2615760, 3269700?\n\"Answer: 653940*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 818*y + 1332*y + 586*y - 327*y + 317*y as o + p*y and give p.\nAnswer: 2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1716.6 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10046 = 4*f, f = -t + 4*f - 10047. Let j be 4\/(-1482)*t\/265. Let n = -2\/689 - j. What is the closest to -0.1 in 1\/3, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12426, 12539, 12658, 12783?\nAnswer: 12914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 136\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 856296 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 + 5)*(5*a - 5*a + 3*a**2)*(-1 + 4 - 2)*(249 - 163 - 149) to the form o + b*a**2 + j*a and give b.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1729 + -674. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 19 - 4. Suppose c - 121 = -g. Suppose -4*l + 2*l = o - 34, -4*o + 2*l + g = 0. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/12 + 51*n + 19. Let a(w) be the first derivative of s(w). Let z(h) = 43*h - 1. What is z(a(d))?\nAnswer: 43*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) - (-3)\/(-6)*-2. Suppose h = -2*b - 41 + 263. List the prime factors of b.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 151.99999883. Round z to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51883, -207427, -466633, -829501, -1296031?\n\"Answer: -51831*x**2 - 51*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1116\/(-21762) - 202\/624.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 + 7. List the prime factors of t(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -212\/3. Let i = 501 + -1505\/3. What is the closest to i in 1\/6, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*u**3 - 163*u**3 + 4 - 18*u - 7*u + 341*u**3 to the form l*u**2 + m*u**3 + z*u + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 0*q = 2160. Let l = q + -140. Solve l*a - 1 = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.59 and -99.\nAnswer: 157.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s - s. Calculate the remainder when (357\/(-6))\/17*-14 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 7*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 497849.5 days?\nAnswer: 716903280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 u when four letters picked without replacement from hzozqquqzzozgqqqh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:47 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = v - 328, -2*v + k - 5*k = -614. What is the highest common factor of 27 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001 - 1011101100001?\nAnswer: -1010001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + 0 - (-134 + 152).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*z**3 - 38531*z**3 - 56440*z**3.\nAnswer: -95277*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1735 less than -61106696?\nAnswer: -61106696.1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2, 0 = 4*s + 3*g - 2*g + 31. Let y(q) = -17*q - 394. Let w(k) = -6*k - 140. Let f(v) = -14*w(v) + 5*y(v). Determine f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 29 = 4 + 73 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -12. Let s(f) = 31*f**2 + 2*f + 1. Let k be s(g). Let y be (-8 - (-26)\/3)\/(-1 + 8\/6). Sort 4, y, k in decreasing order.\nAnswer: k, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 7, z: 4, w: 1}. Give prob of picking 1 w and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 13*y - 11. Let g be o(6). Let h be (-2)\/g + (-51)\/340. Which is the nearest to -1? (a) 0.3 (b) 14 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 514*u - 811. What is the lowest common multiple of 225 and r(4)?\nAnswer: 18675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -200027\nAnswer: -80010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 158 = -4*v, d - 31 = -v. Let l(q) = 4*q. Let s be l(0). Solve -4*p = -4*j - d - 2, -5*p - 4*j = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + 10*n + 4. Determine f(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 2, d: 2, l: 4}. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.1 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 1759*h**3 + 5*h**2 - 1611*h**3.\nAnswer: -3370*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(30)*-3)\/sqrt(6) - ((sqrt(605) + sqrt(605) + sqrt(605) + 0)**2 + (sqrt(60) + sqrt(960))\/sqrt(12)).\nAnswer: -5445 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2703825 by -61.\nAnswer: 44325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j. Determine d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6618*m - 6618*m + 38*m**2 + 42*m**3 wrt m.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0*l**3 + 7*l**2 + 0*l - 1\/105*l**7 - 1\/60*l**6 + 0 + 1\/6*l**5 - 1\/4*l**4. Factor u(x).\nAnswer: -2*x*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.3 - -7.3. Let r = 39.01 + p. Round r to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.3723, 0.5.\nAnswer: -0.3723, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1 + (-253)\/(-44))*124. Calculate the greatest common divisor of s and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59740 = 5*g + 5*g. Let o = 83569\/14 + g. Calculate the common denominator of o and 47\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 4 - 4 + (29*q + 51 - 51)*(q - q - q))*(-16*q + 34 - 34).\nAnswer: 416*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01148740363 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8)\/((21\/(-14))\/(-3)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 26282428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/60 - m**4\/24 - m**3\/3 - 4*m**2. List the prime factors of p(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 2 + 4 + 5*k. Suppose -l = -5*t + l, 5*t = -l + 15. Suppose -5*u - m = 4*m + 45, -5*m - 33 = t*u. Determine x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546871 divided by -171.\nAnswer: 546871\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f + 8\/3*f**3 + 0*f**2 + 28. Let r(a) = a**2. Give s(r(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -558\/5 - -1616\/15. Calculate the common denominator of -53\/105 and h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eueeubeeeuuzueuuu. What is prob of sequence uzee?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153779682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, -2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - 48439796.\nAnswer: -48439817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 + 2 = -5*j, -5*j - 5*z - 40 = 0. Let m = j + 5. Let d = 12 - 11.7. Which is the closest to 1\/2? (a) m (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 - 1970*m**2 + 118765*m - 116800 = 0.\nAnswer: 1, 73, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/36)\/((-3)\/(-68)). Let z = d + 54. Calculate the remainder when z is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 352.2, 0, -2\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 344 = m + 382, -5*m - o - 26 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3324047 is divided by 22309.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -99, -37?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 70. Sort 2\/31, -0.4, c in ascending order.\nAnswer: -0.4, 2\/31, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6749788542 and 2.\nAnswer: 6749788544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*k + 904*k + 607*k + 308*k)*(3*k**4 - k**4 + 0*k**4 + 1).\nAnswer: 3248*k**5 + 1624*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4355402 (base 8) in base 9?\nAnswer: -2173157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(175\/130))\/(2\/(-20)). Is j at most -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 - k + 0*k**2 + 1 + k. Suppose 4*w = -5*c + 13, c + 2*w - 4 = 1. What is y(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-40)*15\/4. Let f = -17\/28 + 6\/7. Which is the nearest to 2? (a) -0.2 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*z**2 - 992*z**2 + 1964*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 6*m + 4. Suppose 0 = 4*t - 6 - 2. Suppose -3*r - 3*h - 10 = -7*r, -r + h + t = 0. What is y(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*d - 2690 + 2690.\nAnswer: 133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 + g + 5. Suppose -532 = 11*d - 25*d. What is the remainder when d is divided by p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*z + 15 = 0, -2*x + 3*z - 5*z = -8. What is the first derivative of -1 - 7 - 1 + 6 - x*v wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564*h + 784*h + 2355*h**2 - 488*h**2 wrt h?\nAnswer: 3734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/10)\/(2684\/385 + -7) + -7. Is -3\/511 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-30))\/(0 + 2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = 2*g, 6 = -2*c - 5*g + g. Let q(u) = u + 11. Let y be q(-5). Let d = 6 - y. Put d, -2, c in descending order.\nAnswer: c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3095629.\nAnswer: 31, 99859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76681415 - 193?\nAnswer: -193.76681415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = o - 436, -4*o = -i - 0*i + 200. Let s(w) = -35*w - 2. Let l be s(-1). Suppose -z + l - 9 = 0. Calculate the greatest common divisor of z and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 10 = 0. Suppose -z*t = -5*t + 12, -20 = -4*r + 2*t. Suppose 3*o + r = -2. What is the second smallest value in o, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*a - 11 = 0, 14 = -4*l + 26*a - 28*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.4383 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/490 + u**6\/140 - 3*u**5\/140 - u**4\/7 - 2*u**3\/7 - 7*u**2. Factor b(g).\nAnswer: 3*(g - 2)*(g + 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (230\/4)\/(1\/2). Let j(t) = 18*t**2 - 46*t - 72. Let o be j(-2). Calculate the greatest common divisor of o and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4556d (base 16) in base 2?\nAnswer: -1000101010101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167.7 + 168.7. What is the third smallest value in s, 3, 0.0066?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 27\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 7124017 = -1017517. Round p to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(209) - -1*sqrt(209)) - sqrt(209))\/(sqrt(11) + sqrt(11)*1*4))**2.\nAnswer: 2299\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:44 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 9*m - 3. Let f be h(-5). Solve f*o = 18*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:39 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llok. What is prob of picking 1 k and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*r - 167*r = 24. Find the third derivative of 44*g**3 + 2*g**2 + g**r - 58*g**3 - 3*g**4 + 17 wrt g.\nAnswer: -48*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let u(m) = 6*m - 15. What is 5*g(r) - u(r)?\nAnswer: -r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -12, -140*g + 143*g + 30 = -3*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/7 - 76*x**4\/7 + 328*x**3\/7 - 48*x**2 = 0.\nAnswer: -42, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-97992)\/10 + (-112)\/140. What is j rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 5*j = -9, 2*u + 1422*j = 1418*j - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 267906425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:41 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u + 156. Calculate the remainder when f(8) is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4061, 4051, 4037, 4019, 3997?\nAnswer: 3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igs when three letters picked without replacement from {i: 1, s: 1, g: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 5*c**3 - 2*c - 7*c - 4*c**3 to the form n*c**3 + o + y*c**2 + g*c and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j - n - 2, -j + 10 = -4*n. Let y = 2 + j. Solve 2*r = -3*g - 9, -2*g - 1 - 9 = y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - 8*n - 11. Let z be t(5). Let y be 192\/(-32)*(z + 8\/(-6)). Solve -11*v + 3 = -y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*f = -18, -s - 2*f + 5 = -0*f. Let j = 5 - s. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18841183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9430*h - 11176*h + 1 + 23513*h)*(-2*h**2 + 4*h**2 - h**2) in the form q*h**3 + x + c*h**2 + o*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 51*t + 74. Let k(d) = -5*d**2 + 76*d + 111. Let n(l) = -8*i(l) + 5*k(l). Let o be n(-10). Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 o when four letters picked without replacement from ffuoufoffufuufoooooo.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-19)\/(-11 - -9 - -9). Sort 17, d, 3 in increasing order.\nAnswer: 3, 17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y - 72 = -977 + 169 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 + 5*f + 8. Is c(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 13. Let p = d + 8. Let u(m) = -m**2 - m - 9. Let t(k) = k + 1. Let o(q) = -6*t(q) - u(q). What is o(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13587732 or 2\/3?\nAnswer: 13587732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 2*c**3 + 3*c**3)*(c**2 - 4 + 4) - 3*c**5 - 7*c**5 + 0*c**5.\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(-34)\/1309*-21?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/396*16*110\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084807.\nAnswer: 73, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2714 and 2231.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1a2 (base 13) to base 12\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 - 550922?\nAnswer: -550995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyitct. What is prob of picking 1 i and 1 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -7*r + 11*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 83362234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61546, 2, 3, 1, -1 in increasing order.\nAnswer: -1, 1, 2, 3, 61546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -27568 + 1932. List the prime factors of n.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 612180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(2*(1*sqrt(1700)*-1 + -3 + -1*sqrt(1700) + -4 + -2*sqrt(1700)*-6))**2.\nAnswer: -5441568 + 44800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d. Let x = 19 + -15. Suppose d = -x*a - 43 + 335. Is a a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2263*n - 405*n - 1025*n)*(3*n**3 + 0*n**3 - n**3).\nAnswer: -7386*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000975882 to 6 dps.\nAnswer: 0.000976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22398319 is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 35. Let n(t) = t + 23. What is -7*n(l) + 5*p(l)?\nAnswer: 3*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from vqrqvvqvvvvvvqqvrvv?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:01 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 + j - 2. Suppose 0 = 3*w - 5*c - 122, w - 27 = -3*c + 37. Let m(k) = 5 - w*k**2 + 26*k**2 + 0 - 2*k + 30*k**2. Give -5*l(v) - 2*m(v).\nAnswer: 6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117295 (base 12) in base 3?\nAnswer: 112022220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/(-1)*(-5)\/((-275)\/(-10)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -330, -321, -302, -267, -210, -125, -6, 153?\n\"Answer: l**3 - l**2 + 5*l - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/14 + -1)*35\/(-10) + 2511?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 + -6 - -3) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 6043884.\nAnswer: 1208776.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 13) in base 2?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8842, 8689, 8538, 8389, 8242, 8097?\n\"Answer: l**2 - 156*l + 8997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8493185*j**4 + 4816582*j**2.\nAnswer: 203836440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 10624 = 10*x. What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 177. Suppose 8*l = -q*l. Solve l = -2*b - 3*c - 15, -4*b + 2*c + 0 = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - (-2960)\/64. Suppose 45*r = q*r. Is (-276)\/(-9)*(r + 6\/4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 95. Let f be (-1 - -5) + 0\/o. Solve -5*j - h = -8 + 24, -f*j - 5*h - 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -3 + -1)*-1 + -2.\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2608 - 1553. Suppose 2*v = 4*h - 7178, 4*h - 2*v = -4*v + 7174. Let y = h - m. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 13. Suppose -4*l - 5*v - 24 = -v, -5*l - 30 = -2*v. Let n be 2\/(-3 - 21\/l). Solve -x*i = 15, -n*b = -5*i + i - 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0*(36\/(-8) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360572 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 343 = -5*f + 21*w, -36 = -4*f + 3*w - 70 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from {q: 8, w: 2, d: 9}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1212780 + -5?\nAnswer: -1212785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 29. Let b be (1 - -2)\/(11 - 364\/35). Solve -b*p + v + g = 0, -p - v = -0*p - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 3*j**5\/20 - j**4\/6 + 2*j**3\/3 + 69*j**2. Let g(f) = -180*f**2 + 81*f - 81. Calculate 4*g(u) + 81*s(u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - (-25 - -27) - 3 - (-7 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95821 and 17081?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/4 - 265809*l**3 - 70654956097*l**2 - 282616634688*l - 282615571456 = 0.\nAnswer: -531616, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 4*r - w = -12, -3*r - 4*w = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 5*q**2 - 4*q + 1. Let z be y(-4). What is the tens digit of (-3)\/75*-5*z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)*(-45)\/30\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -8*z**2 + 0*z**6 + 1\/10*z**7 + 4 + 0*z + 9\/10*z**5 + 0*z**3 + 0*z**4. Find the third derivative of c(o) wrt o.\nAnswer: 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:47 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -51*y**2\/2 + 3*y + 3. Let h be w(2). Let d = -20 - h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 93. What is the remainder when w is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 at most as big as 403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -28*i**3 - 6*i**2 - 5*i - 5. Let p(s) = -57*s**3 - 13*s**2 - 11*s - 8. Let o(w) = -13*a(w) + 6*p(w). What is the second derivative of o(n) wrt n?\nAnswer: 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n - 2*y + y, -n - y = -4. Suppose n = 2*m - 3. Suppose -b + 5 = 3*w, -m*b + w + 1 + 2 = 0. Solve 4*s = b*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21192493*0.1.\nAnswer: -2119249.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -7 + (-3 - -3). Does 26 divide 0 - (-102 + (l - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)*y)\/(y**6\/y))**26)**(-1\/11) assuming y is positive.\nAnswer: y**(260\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:36 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3423\/4564)\/(119\/42*2 + -5)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from poaec.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j. Suppose 5 + 5 = 2*v - 2*h, j = -3*v - 5*h + 15. Solve -3*t + v - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*b**4 - 3*b - 597 wrt b.\nAnswer: 152*b**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 plus 5.94?\nAnswer: 52.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 381?\nAnswer: 76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(5 + d - 4*d + 2*d).\nAnswer: 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 13\/(-18) + (-44)\/(-198)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s - 14*s + 9*s**3 - 2*s**3 - 8*s wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 18, 0 in increasing order.\nAnswer: -20, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z**2 - 1 + 6*z**2 + 30*z**2 + z - 2. Let w be d(3). Is ((-8)\/6)\/((-12)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69461502 + 10*l + 69461502.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*l**2*t**3 - 60790*l**2*t**2 + 2*l**2 + 29*l*t**3 + 27*t**3 wrt t?\nAnswer: 150*l**2 + 174*l + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*b + 15. Let y be 14\/b - 3\/12. What is the third smallest value in 5, 1\/9, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*i = -12, -81*i + 87*i - 24 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)\/f*f*f\/f**(-3))\/((f**(-6)*f)\/(f*f**(-2\/5))))**(2\/61) assuming f is positive.\nAnswer: f**(101\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:16 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/28 and (-8)\/(-40) + 281\/220.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 333 = -372. Solve -32 = -r*l - 2*l + 3*a, -4*l = 3*a - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - -20312?\nAnswer: 21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1168858?\nAnswer: -5844290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - r - 3 = 0, -2*w = 3*r - 15 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45988.98ml to litres.\nAnswer: 45.98898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:22 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1254*v - 334771. Determine z(-267).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**4 + 50626*z**3 - 2*z - 541553 with respect to z.\nAnswer: 8*z**3 + 151878*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyylylyyyy. Give prob of picking 3 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 35, 54, 77, 104, 135?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -15 (c) 2\/3 (d) -3.1491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 289*i + 866\/3.\nAnswer: (i - 866)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59*64\/(-30208))\/((-2)\/(-848)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -20. Let y = i + 22. Suppose 0*x + y*x + 3*t = 69, 3*x - 3*t = 69. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -972, 1\/3, -6\/11, -1277, 0.5 in descending order.\nAnswer: 0.5, 1\/3, -6\/11, -972, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*h + 12, -13401*r + 13404*r - 7*h = 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/25760 and -143\/560.\nAnswer: 25760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108)*2 + 2) - sqrt(108))**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.3 - 20. Let i = m - 1.2. Let d = -17 + 12. Which is the nearest to i? (a) 4 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101281955 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.59 - 3.29. What is the closest to -0.1 in 3\/4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-116)\/522)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:38 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqb when three letters picked without replacement from bbbbbqbbbbbbbbbbbb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y + 1. Let j be l(-1). Let q = j - -10. Suppose -9 = -5*z + q*z. Solve z*s = 4*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-7))\/21)\/(368\/(-483))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233015*n**3*r**3 + n**3*r**2 + 231*n**3 + 6*n*r**4 - 1322*r**2 wrt r?\nAnswer: -1398090*n**3 + 144*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -749*w + 2841. Is j(-44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 4*a + 0*a)*(7 + 15 - 9) + a - 3*a + 3*a + ((-1 - 2 + 2)*(1 - 4 + 0) + 0 + 1 - 2)*(2*a - a - 2*a) to the form q + z*a and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 - 7*s**2 - 49*s + 1343. Give u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 46. Let g be x(-12). Which is bigger: 57 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20529, 82082, 184663, 328272, 512909, 738574?\n\"Answer: 20514*j**2 + 11*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*r**3 - 45*r**3 - 2*r**2 - 11*r**3 + (-2 + 7 - 3)*(-r**3 - 4*r**3 + 2*r**3) in the form d*r**2 + a*r**3 + t + s*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1996054 weeks?\nAnswer: 33.5337072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t + 119. Let d be q(-27). Let m = d - 334. What is the lowest common multiple of m and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 28288491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(2\/(-86)) - 6\/3 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2407996 + 4074983. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/6 (b) 468 (c) 13 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 4. Let q = 8 + j. Suppose -3*a + 9 = -3*n, -n - 7 = -3*a + q. Solve a*t = 16 - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2290 and -0.39031?\nAnswer: 893.8099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*d + 235 = -0*d, -4*d = 4*c - 196. Suppose -10*s - c = -11*s. Calculate the greatest common factor of 308 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1438336*f*l**3*t + 3*f*l**3 - 2*f*t + 2*l**3*t + 111045*l*t + t wrt f?\nAnswer: -1438336*l**3*t + 3*l**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(17)*-2 - sqrt(17))*3*5 + -4)**2.\nAnswer: 810*sqrt(17) + 34506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2. Let c(k) = 74*k + 240. Let y be c(-3). Let n(j) = -j**2 - 3*j - 2. Let h be n(-3). Let g(t) = t - 18. Calculate h*g(u) + y*v(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 6}. What is prob of picking 4 m?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -849.03 + 849. What is the nearest to 0 in 0.3, k, 0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-12)\/3*(-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -137, -127240 in decreasing order.\nAnswer: 12, -137, -127240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/7)*t**(4\/9)*t*t**(-2)*t*t**(1\/2))**(-46))**(-1\/4) assuming t is positive.\nAnswer: t**(4393\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -23422222?\nAnswer: -46844444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190447967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468885 divided by -293777?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowopwooowowwowooww. Give prob of sequence wowp.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -542a?\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + -1)*(-8)\/12. Suppose -4*q + 13 = q - h, p*q - 2 = 5*h. Let 2*t**3 + 2*t**3 - 2*t**q - 2*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 45 = -3*o, 4*o - 3*r - 45 - 15 = 0. Suppose -2*j + 8 + 18 = 0. Let v = j + -10. Solve -o = -c + 4*c + 4*z, v*c + 15 = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 * -4431\nAnswer: -1861.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 - -338. Let x = i - 87. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/364*(1 - 2).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:54 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18200282743 + -38550.\nAnswer: -18200321293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 87 + (-22 - (0 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from clgyyycsycyggggyyscl.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 785?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 1\/64, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51*4\/12 + -4. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 669*j\/5 + 2724\/5.\nAnswer: -3*(j - 227)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34638 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -o*d = 2*m - 3, -d - 4 = -5*d + 2*m. Let h be 22\/70 + (-4)\/(-14). Which is the second smallest value? (a) h (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2694 divided by -6\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159.8 - -26.8. Let w = h - -28. Let n = 106.7 + w. Sort 1, n, -3, 3 in decreasing order.\nAnswer: 3, n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010263 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969920 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 2124960142.\nAnswer: 2124960142.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219954 is divided by 87024.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 83624730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2\/o)\/o)**(-10)\/(((o\/(((o**2*o)\/o)\/o))\/o*o)\/o**(-3\/4))*(o**(-1))**(-43)*((o*o**(-2)*o*o*o)\/o)**(-16) assuming o is positive.\nAnswer: o**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2*-484.\nAnswer: 1548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54402 (base 6) to base 13.\nAnswer: -3542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from ofmoomdofffdy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203080*m**2*n**4 - 40*m**2*n + 5*m**2 - m*n**5 + 2*m*n + 14*n - 284 wrt n?\nAnswer: 2436960*m**2*n**2 - 20*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2 + 2)*(-2 + 2 + y) + 0*y**3 + y**3 - 5*y**3 + (2*y**3 - 4*y**3 + 3*y**3)*(3 - 4 - 1) + 0*y + 9*y**3 + 0*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52736, -210928, -474586, -843716, -1318324?\nAnswer: -1898416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 3. Let a(s) = -3*s**2 + 17 + s**2 - 9*s**2. Let z be (0 + -4)*3\/(-2). Suppose 79 + 23 = -3*n. Calculate n*p(r) + z*a(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 + -149. What is the third derivative of 7*m**5 + 54*m + m**i + m**2 - m**4 - 56*m wrt m?\nAnswer: 480*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - -2*sqrt(162))\/sqrt(6))\/(sqrt(45)\/sqrt(5)*6 + sqrt(9)) - (1*sqrt(27) - (2 + sqrt(363))))**2.\nAnswer: 236*sqrt(3)\/7 + 10639\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 = -4*o - 0*b, -o = 3*b + 9. Suppose o = n - 2, 4*h - 2*h - 4*n - 2754 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 4*h + 1. Let m(a) = -3*a**2 - 6*a + 2. Let x(q) = -5*m(q) + 8*o(q). Give x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034717 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 divided by 845?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/(-28) + 3)*329\/(-6674). Which is bigger: c or -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10857 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - u - 3*u**2 + u + 4*u**2 to the form f + m*u**2 + l*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z + 5. Suppose 2*c - 2*o - 20 = z*o, -3*c + 5*o + 27 = 0. What is the lowest common multiple of 6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628946*150.1\nAnswer: -94404794.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 69378?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6101 + 7*l - 81*l + 6101 - 82*l.\nAnswer: -156*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105 + -358?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16471 + 17482. Calculate the remainder when q is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*n**2 + 646.\nAnswer: 342*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -126*v - 47. Let r(f) = 83*f + 31. Let d(p) = 5*l(p) + 8*r(p). What is the units digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-421 - 169*n + 423 + 414*n)*(5*n**2 - 3*n**2 - 3*n**2) to the form a*n**3 + k*n**2 + b*n + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29666873?\nAnswer: 29666873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -29. Let c(k) = 13*k**2 + 287*k + 40. What is the remainder when z is divided by c(-22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 3*k, 20*h - 5*k + 4 = 17*h. Suppose 0*i - 1191 = -4*i + 3*x, -10 = h*x. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77 and 414.\nAnswer: -31878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x. Let k(i) = -i + 268 - 268. Calculate -2*j(c) + 30*k(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -883*q - 90942. Determine v(-103).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 10*f - 5*f. Suppose -4*t = -5*p - f, -31*p - 21 = -28*p + 5*t. Let m(b) = b**2 + 7*b + 4. Determine m(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, h: 5, m: 1}. What is prob of sequence nm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2471*w**2 + 3*w. Let j(v) = -162*v**2. Give h(j(i)).\nAnswer: 64848924*i**4 - 486*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 43. Let t be i(-23). Which is smaller: 3\/2 or t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2736 - 2740. Which is smaller: y or 4.49?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -383, -382, -381, -380?\n\"Answer: o - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 16a?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 24392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 3 - 4)*(-2 - 4 - 3) - 2 - 17 - 44)*(-2*c**3 + c**3 + 0*c**3) in the form w*c**2 + v*c + t*c**3 + b and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3990 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 less than or equal to 1511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8827 - -1.8827. What is the second biggest value in r, -2, 0, -1\/58, -1\/7?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drudq. Give prob of sequence ddur.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*f - 68*f + 114*f.\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6927*g**3 - 1914 wrt g?\nAnswer: 20781*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490603404 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from qqcccc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let h(l) be the second derivative of 1991*l**3\/3 - 2377*l. Give j(h(c)).\nAnswer: 15856324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70058, -70242, -70440, -70658, -70902, -71178?\n\"Answer: -b**3 - b**2 - 174*b - 69882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 42 + (-1 - -1). Let n be ((-10832)\/(-165) + (-8)\/i)*40. Let f = 2641 - n. Find the common denominator of f and -1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/9, 2, 7, 0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1203900 and -37\/3009750?\nAnswer: 6019500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 5*l. Suppose 2*b + 0 = 4. Let c(y) = 4*y**2 - y + b*y**2 - 5*y**2. Suppose -56 = -8*k + 64*k. Determine k*w(t) + 5*c(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 7. Let i be n(9). What is the first derivative of -2*s**2 - 5*s**3 + 3 + 2*s**i - 7 wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -499 + 500. What is the biggest value in 5\/4, -76, j?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11)*k*k**(-8))**(-4\/13)\/(k**3\/(k**(-4\/5)*k)*(k**(-1)*k)**(-11\/5)) assuming k is positive.\nAnswer: k**(-282\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 317064.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 178*r**2 + 2165*r - 27. Determine g(-42).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y - 80. Let r be k(10). What is the highest common factor of 260 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -60, -66, -72?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -120 + 25\/9*o**3 - 2\/3*o - 23\/6*o**2. Solve k(l) = 0.\nAnswer: -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*2*-6)\/(sqrt(704)*-1))\/((sqrt(1200) + -1*sqrt(1200))*3 - sqrt(1200) - 3*(sqrt(1200) - -1*sqrt(1200))).\nAnswer: -3*sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*(273\/(-28))\/(-13).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(18)\/sqrt(3)))**2*4.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -157995000 to the nearest one million.\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)*3\/(-2). Let q be (-5)\/(1*(2 - 3)). Find the second derivative of -c - 2*c**5 + g*c**q + c**5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -37. Suppose 0 = -4*i + 8, f*i = c + 4*i + 5. Let v be (-6)\/72*c - 1\/(-12). What is the fourth smallest value in v, 3\/4, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 - 4*c - 10. Let i be a(6). Suppose 10*y = 5*y - 4*z + 486, -y = -5*z - i. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1289*i**2 - 1403*i**3 - 302*i**3 + 461*i**3 wrt i?\nAnswer: -7464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -654 + 976. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43\/536, -2\/11, -1, -3\/14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z + 7\/2*z**3 + 5*z**2 + 0*z**4 + 0 + 1\/30*z**6 - 1\/5*z**5. What is the first derivative of c(t) wrt t?\nAnswer: 12*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*((t*t**(5\/6))\/t)\/t*t**(-20) assuming t is positive.\nAnswer: t**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90095115, -90095121, -90095127, -90095133, -90095139?\nAnswer: -90095145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 940259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from fcfcccfffcfccodocdd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -27, -20, -11, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1274)\/12 + -113 + 30285\/270?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80165, 80136, 80069, 79946, 79749?\nAnswer: 79460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 - 6*t - 17. Let d(h) = 21*h**2 - 21*h - 60. Let k(q) = -5*d(q) + 18*y(q). Determine b so that k(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 95.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20935*g + 104729. Give j(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let s = -6.96 - m. Let p = s + -0.04. Sort 2, p, -0.3.\nAnswer: p, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 100414775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29412 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 4, -1\/2, 3\/4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 3*f**2 - 5*f - 2. Let u be l(-3). Let i = u + -16. Let n = 2 + -3. Put 0, n, i in increasing order.\nAnswer: i, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1719329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5158551.\nAnswer: 3, 1719517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383322, -383318, -383314, -383310?\nAnswer: -383306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*o + 3 - 2 + 2 - 2.\nAnswer: 113*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:50 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 5, b: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from tttaaaxa.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**3*z**4 + 3*g**3*z + 11465*g**2*z**2 - 14736*z**4 - 19*z**3 - 20 wrt z?\nAnswer: 144*g**3*z - 353664*z - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 14, 0.02813?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4b7030 (base 13) to base 10\nAnswer: -1814761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68+279484063\nAnswer: 279483995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -5*f - 15135. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9999 - -b5b?\nAnswer: a827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 45*d.\nAnswer: 3*d*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -3, 2\/11 in descending order.\nAnswer: 2\/11, -1.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-31)\/1302*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 3*w. What is i(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563216816 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - 1.165794.\nAnswer: -93.165794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*q**3 + 47*q**3 + 42*q**3)*(4*q - 5*q + 3*q)*(2 - 5 + 2)*(-2 + 5 + 0).\nAnswer: 42*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40420 (base 5) in base 11?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93126, 94076, 95026, 95976, 96926, 97876?\n\"Answer: 950*g + 92176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-4)\/((-12)\/3))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*c + f - 17, 3*c = -4*f + 22. Suppose -c*v - 2*z = v - 6, 3*z = 0. Factor -1\/9*d**v + 2\/9*d - 1\/9.\nAnswer: -(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(143)\/sqrt(44).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280243?\nAnswer: 3, 1760081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517156347 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)*(-9)\/(-12) - 450\/(-120). Solve -65 = 2*h - 2*n - 51, -r*h + 5*n = 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -37236*n - 1452203. Calculate h(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 17*x**3 - 58*x**2 - 40*x.\nAnswer: x*(x - 20)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021713 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 194*s + 2040 + 1254, -2*m - 3*s = 14 + 45 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 229, 228, 227, 226, 225?\n\"Answer: -h + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1801377285.6 rounded to the nearest 10000?\nAnswer: -1801380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:02 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 3*m + 15 = 0, -3*x - 2*m = -10. Factor 1 + 0 + x*c**2 + 3 - 4*c**2.\nAnswer: -4*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974441042 to the nearest integer?\nAnswer: 31216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*x - 4*x - 84 = 0, 3*x + 3 = 0. Suppose -49199 = -243*b - 599. What is the highest common divisor of b and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-36)*1\/1*4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1275\/7 + 176. What is the common denominator of -87\/8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/2 - 124*n**2\/5 + 62*n - 104\/5 = 0.\nAnswer: -52, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167719 and 4?\nAnswer: 670876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*h - 9*f - 74 = 260*h, 0 = 4*h - 3*f - 53 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3360*g**3 + 5402*g**3 + 7412*g**3 - 1087*g**3.\nAnswer: 15087*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 3*m + 3. Let r be v(-6). Let z = -9 - r. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - o**3)*(3351*o - 6476*o + 2603*o)*(-2*o - 3 + 3).\nAnswer: -1044*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) -1\/20 (d) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1.8. Which is the third smallest value? (a) -5 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 3*l**3 - 2*l**3)*((-2 - 1 + 5)*(2 - 2 - 1) + 380 + 288 - 131) + (5*l**2 + 0*l**2 - 3*l**2)*(-3*l + l + 3*l) + 2*l**2 - l**3 - 2*l**2.\nAnswer: 1071*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydxy when four letters picked without replacement from yxnydxnp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let z(b) be the third derivative of b**5\/60 + b**4\/24 - 5*b**2. Let t(q) = -6*q**2 - 3*q. Let j(v) = 2*t(v) + 6*z(v). What is m(j(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14044 divided by 4.\nAnswer: -3511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -178, -509, -970?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -44063?\nAnswer: 44066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 19. Let h = m - -16. Let p be 2\/(-4) - h\/10. Let y(f) = f**3 + 3*f**2 + f - 3. Calculate y(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) - (-370)\/60. Solve 4*b + 0*z = -z - g, 2 = z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 8*z**2 - 4*z - 1. Give n(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13120 and 328.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -257, -261, -265, -269, -273, -277?\n\"Answer: -4*y - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:33 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 84. Let t = j - -70. Which is the second biggest value? (a) 4 (b) t (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(sqrt(28)\/(sqrt(20)\/sqrt(5) + sqrt(4) - sqrt(4)) + sqrt(7)))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let l(g) = 5*g. Let q(c) = 3*l(c) - 7*y(c). Let u(i) = -i**2. Determine q(u(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104771*c**2 + 256100*c wrt c.\nAnswer: -209542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2415 in -21, -2\/9, -2, -0.5, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 278*h**2 + h + 31. Let b be u(-13). Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 12*r - 14*r + 30906, 4*r = -4*t + 61784. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 149*f**3\/3 + 1. Let v(s) = -4*s**2. What is n(v(x))?\nAnswer: 2384*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9343, 18919, 28495, 38071, 47647, 57223?\n\"Answer: 9576*j - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -5*h + 5, 0 = -5*h + 5. Let d = 0.03 + -3.03. Let n = -2 - d. What is the closest to k in 4, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 5*r**2 - 21*r - 19. Let d be j(8). Let k(a) = 475*a**2 - 5*a + 13. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/75)\/((-3)\/((-42)\/(-4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -562*n**3 - 2*n**2 + 1. Let d be w(1). Is d\/(-5) - (-12)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w, -3*h - w - 296 = 4*w. Let o = h + 102. Suppose 2*j + 4*x + 10 + 2 = o, -12 = -4*j + x. Solve 2*v + u = 0, -2*v + 7*v + 2*u = -j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 37 + 43 = 8*b, -2*b - 4*a = 26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (5 + -17 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.826614741 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*c**3 - 89 wrt c?\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2765 + 2765.0003737. Round r to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 103*g - 110*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85883 - 0.7.\nAnswer: 85882.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 6 = -11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 2537*u**2\/2 - 20248*u + 80928.\nAnswer: -(u - 5058)*(u - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -91. Suppose -n**g - 3\/2*n**4 + 2*n**2 + n - 1\/2 = 0. Calculate n.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -0*y, 3*l + y = -31. Let x be (-112)\/40 + 3 - (-52)\/l. Let q(i) = -i**2 - 5*i + 1. Let v be q(-5). Sort -4, 3, x, v in ascending order.\nAnswer: x, -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15280, -4, 2\/23, -3.1 in ascending order.\nAnswer: -15280, -4, -3.1, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, s: 9, m: 3}. What is prob of sequence hs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3 - 5) + 2. Let n = -3 + c. Let y be (-4)\/4 - (n + 0). Solve 1 = 3*t - 4*l, 5*t - l + 21 = -y*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 4) to base 2\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38193442.\nAnswer: 2, 7, 61, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 59.\nAnswer: -112\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-88 + 24 + 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esaeaassss. Give prob of sequence ases.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 196b0c (base 13) to base 7\nAnswer: 5316534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 485?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 6 - 76 = -600 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13.47822 + -12\nAnswer: 1.47822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + 25803\/(-854))*7?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a factor of 6934080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1395 divided by 15.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*4\/(-7). Let b(l) = 4 + 0*l - 3 + l. Let d be b(0). Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1178, -1305, 4, 0 in descending order.\nAnswer: 1178, 4, 3, 0, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-42)\/70).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -19. Suppose -8 = -l + 5*d + 20, -d = -b. Suppose -l = -w + 4*o, 13 = w + 4*o - 1. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/63)\/((-4760)\/220320)\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-80)\/(-480))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -1601.267121.\nAnswer: -1645.267121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003762 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from {o: 2, y: 1, p: 1, g: 1, s: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163371 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-10))\/((-5)\/25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*u + 5*z, -z - 29 = u - 6*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*o = -18, -o + 0 = q + 1. Suppose 2*g + 6*x + 46 = 4*x, 2*g + 50 = -3*x. Let t = q - g. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 3, o: 2, u: 2, e: 4, i: 2, g: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1568\/11760 + 276\/(-1845).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89808.\nAnswer: 2, 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let c(g) = -2*g**2 - 23*g + 43. Let a be c(-13). Let x(m) = 4*m**2 + m + 3. Determine a*b(t) + x(t).\nAnswer: 4*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/4*88340\/(-53635)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 1\/4*h**4 + 0*h**2 + 0*h**5 + 0*h**3 + 0 - 1\/10*h**6 + 3*h. Find the third derivative of k(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826080 is divided by 51592?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.53583 and -105.348.\nAnswer: -102.81217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 8*w - 2. Let m(o) = -3*o**2 - 25*o - 5. Let l(i) = -2*m(i) + 7*q(i). Suppose -4*h = -h + 12. List the prime factors of l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*j**2*u*z + 2*j**2*u + 2*j**2*z**2 - 15*j*u*z**2 + 29*j*u - j*z**2 wrt j.\nAnswer: 1048*u*z + 4*u + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 420 = -5*k. Suppose 31 = 3*j - 5. Calculate the highest common divisor of k and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*d - 137*d = 358*d + 770*d - 58608 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1454 - 1453.99346. What is p rounded to four dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -280 - -506. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + sqrt(38)\/sqrt(2))*2.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2111)\/(-19) + -134 + (-53424)\/(-399)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**6\/15 + y**5\/2 - y**4\/6 - 5*y**3\/3 + 31*y. Factor c(u).\nAnswer: 2*u*(u - 1)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*c + 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -312 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-1)\/((-2)\/6). Let d be -6*o\/((-27)\/6). Suppose -5*m + 29 = -5*x + 2*x, d*m = -x + 30. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2006.\nAnswer: 2\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63221, 63221, 63223, 63227?\n\"Answer: i**2 - 3*i + 63223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -408, 2.\nAnswer: -408, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0*j - 4*j + 5*j - j - 3*j.\nAnswer: -3*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4616 + 20.6316. Let j = -20 + o. Let r = j + 0.13. Put r, 0.4, -1 in increasing order.\nAnswer: -1, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/9 - 12976*j**4 - 116780*j**3\/9 + 350354*j**2\/9 + 194639*j\/3 + 233566\/9 = 0. Calculate j.\nAnswer: -116783, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.3 - -14.2. Let d = -28 + 22. Let v = a - d. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-12)\/4 + (-17)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*z - 32. Find the common denominator of (-97)\/4*(-1)\/2 and (85\/30 - 4) + 3\/z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = 48. What is the common denominator of f and (-31)\/(-8) - -1*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131693 by -2.\nAnswer: -131693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -19. Let s = 58 - 59. Put -5, j, s in descending order.\nAnswer: j, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62300084?\nAnswer: 2, 7, 11, 67, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 13976*y**3 - 69135504*y**2 - 141879879680*y - 103056606822400.\nAnswer: -(y + 2060)**2*(y + 4928)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (2 - 0) - (-3728 + 3671)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 p when four letters picked without replacement from hhssssppshpsspppsphp.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -467*y + 460*y + 2*u + 55, -2*y + 2*u + 30 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -33, -26, -19, -12?\n\"Answer: 7*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-126)\/330 + -1 + 2\/11. Which is the closest to 2\/7? (a) 1\/28 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5, 0*v - 2*v - 4 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 861\/5? (a) -0.2 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(256\/(-129) - -2). Let d = -26 + t. Let y = 150 - d. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/5726 and -19\/77.\nAnswer: 62986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*y + 54*y + 32440 = -877*y - 1049*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23666 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: Calculate the common denominator of -137\/420 and 47\/552.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1759 or -1?\nAnswer: 1\/1759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:31 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**43\/s))\/(s*s\/(s\/(s*s*((s**(2\/15)*s)\/s)\/s))*s)*((s**(-2\/15)\/s)\/s)\/(s\/(s**41\/s)) assuming s is positive.\nAnswer: s**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 32. Let c = -12 + s. Solve 5 = t + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 49195*n - 983845. Calculate d(20).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 11981, 3, 120 in decreasing order.\nAnswer: 11981, 120, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q - 1750 = 2135. Let j = -421\/4 - q. Put j, -0.1, -0.04, 2\/13 in descending order.\nAnswer: 2\/13, -0.04, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e (base 16) in base 13?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + k. Let d be (2\/(-10))\/(11\/(-55)). Let f(x) = x**2 + x + 8. Let s(t) = d*f(t) - 4*b(t). Find the second derivative of s(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 110110011?\nAnswer: 111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 - -267. Suppose a*y - 98*y - 7 = 0. Suppose -26 = -2*d + d. Calculate the remainder when d is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 104 + 276 - 85 - 87.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*p + 120. Suppose 7*q - 15*q + p = 0. Suppose 0 = 4*a - 4*l - 84, 0 = a - q*l - 13. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -155*x**5 - 2625*x**4 + 12415*x**3 - 16755*x**2 + 7540*x - 420 = 0.\nAnswer: -21, 2\/31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, 33, 37, 43?\n\"Answer: x**2 - x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-111)\/(-8) - 2) + (-17)\/(-136). Let g(k) = 5*k - 6. What is the tens digit of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c**2 + 13*c - 21. Calculate w(2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(1\/7)\/f)*(f*f\/(f\/(((f**(7\/9)\/f)\/f)\/f*f)))\/f*f**(-9\/2)*f*f**(-1\/3)\/f)**40 assuming f is positive.\nAnswer: f**(-10580\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, i: 1, h: 1, g: 1, n: 2}. Give prob of sequence yh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l + 2. Let w be j(-5). Suppose -4151 = 790*o - 797*o. Let b = -577 + o. Calculate the highest common factor of w and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385137 + 1.16\nAnswer: -385135.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:49 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 12. Let p = 15 - q. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(4)\/sqrt(2)) + sqrt(9)\/sqrt(3) + -3 + 2.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 716840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*(d*(d**(8\/3)*d)\/d*d)\/d)**(2\/5)\/(d**(-3)*d*d\/d**(4\/7)*d*d*d*d**5*d*d**(-3\/4)*d) assuming d is positive.\nAnswer: d**(-2441\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -367 - -5?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 21*j**2 - 23*j - 8. Let f be o(22). Let r = f - -36. Put r, -3, 2 in ascending order.\nAnswer: -3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 498 - 525. Let q = -4.8 + -18.2. Let l = q - o. What is the second biggest value in l, -3, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -80*o**3 - 11*o - 1. Is p(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045072 to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*n + t + 1, -3*n - 2*t + 8 = 0. Suppose -2*p + 1259 = n*c + 107, 5*p - 2844 = 2*c. What is the units digit of (6*1)\/(p\/276 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27217, 3, 0, -4, -3, 31 in increasing order.\nAnswer: -27217, -4, -3, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3\/((-12)\/(-112)). Let i = t - 25. Solve -3 = -i*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 84 = -4*r, -14*y = -12*y. Let u be (-225)\/r + (-26)\/(-91). Solve -6*b - 23 = -u*b - 3*j, b - 5 = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 + 7*d**3\/3 - 3*d**2\/2 + 8*d - 1. Let i(s) = 2*s + 2. Let b be i(2). What is the remainder when c(b) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*p - 4*j, j + 37 = 4*p + 1. Solve -r = 11 - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*n - 3*n + 33, -20 = -5*n. Let t = -18 - d. Calculate the highest common divisor of t and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = -4*z, 3*z - 26 = -2*z - 3*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8732 + 8638 - 17370 + 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1 + 2 - 1*(sqrt(176) + (sqrt(176) - (1 + sqrt(176))))) + (sqrt(11)*-2*-2*4 - (sqrt(275) + (sqrt(275)*2 + 4 + sqrt(275))**2)).\nAnswer: -2489 - 109*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 872981899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91410, 91416, 91422, 91428, 91434?\nAnswer: 91440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-64)\/20 - -4) + (-69)\/90. Let h(w) be the third derivative of -1\/21*w**7 + 0*w**3 - 2*w**2 + 0*w - q*w**5 + 0 - 3\/40*w**6 + 0*w**4. Factor h(d).\nAnswer: -d**2*(2*d + 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c + f + 1, 2*f = 10. Let l(d) = 3*d - 5. Let a be l(c). Does 17 divide 5 - (-91 + (a - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - ((1 - 4) + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-686)\/(-28))\/49*1056\/32.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 - -3.84. Let m = -8.44 + n. What is m rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -49*m**7\/15 + 260*m**3 - 1129*m**2. Find the first derivative of i(z) wrt z.\nAnswer: -2744*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3816120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/840 + r**5\/15 - 4*r**2. Let u(n) be the third derivative of b(n). Let i(d) = -3*d - 1 + 5*d + 1. Determine i(u(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/60)\/((-126)\/(-252)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213719372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2397720 and 696?\nAnswer: 2397720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 558\/5. Let a = 103 + -98. What is the closest to c in -6, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -6*(0 + sqrt(2057))) - (sqrt(119)*-4*-3)\/(-4*sqrt(7)*3).\nAnswer: -30 + 397*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, -5, 9, -11, 3 in ascending order.\nAnswer: -128, -11, -5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815682?\nAnswer: 2, 3, 7, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(396))*-3)**2 + -1 + (-1*-6*(-1*sqrt(44) + sqrt(44) + sqrt(11)))**2)*2*1.\nAnswer: 216*sqrt(11) + 7936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 619650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 - 1\/4*y + 3\/2*y**2 = 0?\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/12 and -91\/376.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 20 = -r + 5*d, -2*r + 5*d = 17. Let g be (3\/1 - 10)*r. Suppose 2*x - g = -3. What is the highest common factor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**3 + 13*i**2 - 8*i - 6. Let s be g(1). Solve 0 = -s*m + 37 + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115738929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/5)\/u)**(-22) assuming u is positive.\nAnswer: u**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmsmmmlmsssogsmsmgs. Give prob of picking 1 m and 1 o.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8069 - -8073. Let o(u) be the second derivative of 0*u**3 + 0 + 5\/6*u**a - u**2 - 11*u. What is the derivative of o(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 35 = -45*t + 44*t, -6*t = -2*n - 222 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 39702, -22, 5 in decreasing order.\nAnswer: 39702, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53534 - -1.95?\nAnswer: -53532.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 26. Let m be r(7). Let l(t) = -8*t**2 - t + 7. Let h(g) = -17*g**2 - 2*g + 15. Let o(u) = 6*h(u) - 13*l(u). What is o(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -1.4, 1, 3\/101, 0?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:45 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 92. Let x(p) = -3*p**2 - 26*p - 13. Let h(k) = 2*k**2 + 12*k + 6. Let s(q) = -13*h(q) - 6*x(q). Determine s(z(b)).\nAnswer: -32*b**4 - 2944*b**2 - 67712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/7 + 46416*s**2\/7 + 31029813*s\/7 + 13238802 = 0.\nAnswer: -639, -3, 16114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -145. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let x be 74\/112 - (-4)\/(-14). What is the second biggest value in x, 0.3, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 8*i - 165. Calculate the highest common factor of 45 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.9 - -23. Let y = -165.9 - p. Let x = -229 - y. Which is greater: 2\/7 or x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -200, -96, 8, 112, 216, 320?\n\"Answer: 104*m - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46395756 is divided by 647.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, t: 5}. Give prob of sequence trr.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839945 is divided by 141534.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + 2. Let t(y) = -y**2 + 10*y - 6. Let u be t(9). Let l(b) = 4*b**2 - u*b**2 - 2*b**2. What is h(l(g))?\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + o - 2 + 40, 2*k = -4*o + 2. Let z be (-7)\/10 - 2\/(-4). What is the closest to -2\/7 in z, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/36*3)\/(68\/(-32)). Is o less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3\/4 - 60825*w**2\/2 + 668590*w - 2916960 = 0?\nAnswer: 6, 16, 24308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 971899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(30)\/(sqrt(6)*2).\nAnswer: sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80*(-42)\/(-33600))\/(((-2)\/(-185))\/1).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*y + 22 - 4, 2*y = -8. Let r = -128 - -1942. Suppose m*b - 8*b = r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1748, 6942, 15566, 27620, 43104?\nAnswer: 62018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -5*q**4\/12 - 5*q. Let x(i) = -339*i**2 - 5*i + i + 334*i**2 + 4*i. Give x(v(p)).\nAnswer: -125*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1363, -2718, -4073, -5428, -6783?\n\"Answer: -1355*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 225, 482, 821, 1230, 1697, 2210, 2757?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.43 - -2.7. Is -2\/3 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7463 - 4.555. Round j to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 272, 409, 546?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 43. What is i(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/1397 and -121\/12954?\nAnswer: 142494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.25426 - 75.52145. Let r = m - -7.26634. Let o = r - -34. Round o to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90975*a**6 + 6*a**4 + 2*a**2 - 170*a - 312 wrt a?\nAnswer: 10917000*a**3 + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*s + 29716, -2*s + 6807 = -5*w - 12997. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - s**3 - 5*s - 4*s**3 + 6*s**3 + 0 - 4. Let u be v(6). Solve -3*m - 3*y + 3 = 0, -m = -6*m + u*y - 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256 divided by 25.\nAnswer: 2256\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 55. Let m be q(-10). Let t be (-10)\/(-1 + 2) + 2. Put -4, m, t, 5 in increasing order.\nAnswer: t, m, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 30. Suppose -3*n - v = 5*c, 4*c + 16 = -2*n - 0*c. Suppose k + 2 + n = 0. Sort k, -1, 2.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 5)*(4*h + 0*h - 3*h) - 3*h + h + h - 13*h - h + 2*h)*(-2*h - 5*h + 5*h)*(0 + 0 + 2*h)*(-2 + 9 - 2) to p + x*h + i*h**2 + t*h**3 and give t.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qti when three letters picked without replacement from jkiiqjkkriqirtkjjttt?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3 - 3*k**2 + 3*k + 8. Solve j(w) = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 20864 + 21763 = 473*y + 557*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**3\/3 - 23*o**2\/2 + 7*o - 2475. Let p(g) = g**2 - 11*g + 3. What is 9*p(h) - 4*w(h)?\nAnswer: h**2 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 + 4*i - 4. Let j = 7 - 12. Let h = j + 9. Suppose -3*l = -h*l + 3. Give f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 49. Suppose -1 = -2*z - 5*x + 10, z - 2*x = i. Suppose k + 264 = 5*k + q, 0 = z*k + 3*q - 207. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let b be j(6). Let p(l) = 19*l**2 + 3*l + 5. Let g(u) = 9*u**2 + u + 2. Let d(h) = 5*g(h) - 2*p(h). Calculate d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (312\/(-36) + 2 + -11)\/((-7336)\/6) and -21\/22?\nAnswer: 40348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc097 (base 16) to base 11\nAnswer: -52099a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(-2*y - 5*y + 5*y)*(-4*y - 3*y - 17*y)*(-y + 0 + 0).\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*v - 11, 0 = v + k + 4*k + 9. Suppose 4*w + y = -v + 2, 0 = 3*w + y. What is the units digit of w\/(3\/3) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 less than -14.2?\nAnswer: -14.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 275\/(-4) + ((-5)\/(-20) - 1). Let o = 703\/10 + d. Let w be -3 + (-3)\/6 - -3. What is the second smallest value in w, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnnnkllklk. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 11*d + 42. Suppose -j + 22 = -2*h, -2*j + 5*j = 4*h + 58. Let c be o(j). Which is smaller: c or 1\/57?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**28*(o*o**(-6\/5))\/(o\/((o\/((o**19*o*o*o)\/o)*o)\/o*o)) assuming o is positive.\nAnswer: o**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*s - 216*s + 4*b + 136, -4*s - 286 = 9*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 59*f**3 + 10*f**2 - 113*f - 28*f**3.\nAnswer: 31*f**3 - 113*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 + -2086\/9. What is the closest to 0 in k, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 9. List the prime factors of f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by 202119?\nAnswer: 176\/202119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, c: 2, j: 2, t: 2, n: 1, f: 4}. What is prob of picking 1 l and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8612 and -7?\nAnswer: 60284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l**3 + 4*l + 4. Let o(n) = -24*n**3 + 3*n + 3. Let m be 7 - 5 - (-70)\/(-14). What is m*g(k) + 4*o(k)?\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -8\/5, 656, -0.3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454.92296*-5.\nAnswer: -2274.6148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16196 = -4*i, -40*i + a = -38*i - 8098. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2501.513 - -2501.21700612. Let v = r - -0.296. What is v rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529467 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gffffgggffgg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 - 59*w + 3. Let l(j) = j**3 - j**2 - j + 1. Determine -2*l(u) + r(u).\nAnswer: -u**3 - 3*u**2 - 57*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**6\/3 - 212*v**5\/5 + v**4\/2 + 212*v**3\/3 + 1551. Find n such that k(n) = 0.\nAnswer: -106, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13212 times -2440\nAnswer: -32237280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 3709 = 3415 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1. Let u = -19 - -17. Let r(a) = -17*a - 21. Let y(n) = u*t(n) + r(n). Let m(k) = 8*k + 9. What is -13*m(x) - 6*y(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4 - 488*u**3 - 30252*u**2 - 59048*u - 29282 = 0.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-10))\/(20\/430))\/(264\/440)*3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 3561 + (-6*1)\/(198\/165) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 286*q - 67*q - 73*q - 7*q**3 - 65*q + q**2 - 79*q in the form w + r*q + u*q**3 + f*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -407 + 408. Let l be 4\/(-4)*(q + 2\/(-2)). Let z(h) = 0*h + 2 - h - 16. Calculate z(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 262795423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bd4 - 9d3?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 + 13?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1073162475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 17. Let p be a(3). Let d(x) = 9*x**2 + 5*x. Let y(u) = 8*u**2 + 4*u. Give p*d(k) + 6*y(k).\nAnswer: 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - 69. Suppose -z*c - 18 = -74*c. Solve 6 - 3\/2*n**2 - 3\/2*n**3 + c*n = 0 for n.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15802 - -16015. What is the remainder when 674 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/20 - j**4\/36 + 2*j**3\/3 + 2*j**2\/3 - 9*j. Solve u(o) = 0 for o.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 - (-3 + (2 - -1) - 3). Let h(m) = m**3 - 20*m**2 + 2. Let y be h(i). Solve y*c - 16 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160796?\nAnswer: 2, 3, 7, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 5. Let n(m) = 4*m - 14. Let g(x) = 3*n(x) + 8*p(x). Let r(y) = -y + 1. Let z be 6\/24 + (-107)\/(-4). Let h = 21 - z. What is h*r(s) - 2*g(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 93.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 7*y - 163. What is the highest common divisor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6127 - 6132. Sort 2, 5, -2, -3, p in ascending order.\nAnswer: p, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/14*1\/4*60\/45\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 3*k + 5*u - 2080, 3*u = 2*k - 817. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 978\/1897171 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 2. Let o be g(-3). Let h be o\/(-10) - (-51)\/(-170). Which is the nearest to 0? (a) h (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3940816 + -3940811. Let m = 1.8 - 2. Let w = m + 0. What is the third smallest value in r, -6, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a + 14. Let u(r) = 2*r - 5. Determine -6*k(i) - 17*u(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 5*n. Let j be c(-5). Let d = 4228 - 92965\/22. What is the common denominator of 65\/18 + j - 1 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85592 is divided by 139?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23 - -5)\/((-6)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8952062 divided by 6.\nAnswer: -4476031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - -36. Suppose 0 = 5*m + f - 140. Solve -z = -m*a - 5, 0*z = 4*z + 3*a + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*g - 5. Let k be (-26)\/39 - (8\/(-3))\/g. Solve k = -4*n - 3*z + 1, 0*z - z = -3*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - c**3 - 2*c + (-2*c**2 + 3*c**2 - 2*c**2)*(3*c + c - 2*c) + 2*c**3 + 0*c**3 - 4*c**3 + c**2 - c**2 + 2*c**3 - 44*c + 44*c - 10*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2347524 (base 8) to base 12.\nAnswer: 270070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*f + 35 = 0, 3*f = 4*o + 4*f - 16. Suppose 2*r - 4*d - 18 = 4, o*r - 5*d = 32. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 274896?\nAnswer: 1374480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -383\/4 + 95. Let g = -0.005 - 29.995. Let q = 29 + g. Sort a, 3\/8, q in decreasing order.\nAnswer: 3\/8, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**3 + 1940*q**2 - 1936*q = 0.\nAnswer: 0, 1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*c**3*q**2 - 177430*c**3 - c**2*q**2 - 28*c**2*q - 260731*c*q wrt c.\nAnswer: 1674*q**2 - 1064580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 433089389 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.4 - 8.6. Let r = b + 18. Sort -0.2, r, 1\/6, -0.6.\nAnswer: r, -0.6, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45860?\nAnswer: 2, 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-40))\/((-5)\/(-14)*889\/(-762))?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 111.8, 2\/9, -2, 4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7383.454 millimeters?\nAnswer: 7383454000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -116*((-62)\/8 + 7). What is the second derivative of i*z - 1 + 115*z - 124*z**2 - 357*z + 116*z wrt z?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-18)\/(d**(-14)*d*d) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 7*j**2 + 3*j)*(-5*j**3 - 9*j**3 + 4*j**3) + 5*j**2 - 5*j**2 + 2*j**5.\nAnswer: -68*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 * 5\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3480.9594 - 3483. Let m = w - -1.1139. Let f = 0.92 + m. Round f to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**5 + 1364515*g**3 + 72937274*g**2 wrt g?\nAnswer: 540*g**2 + 8187090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.145965 decades in months?\nAnswer: 497.5158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-7)\/(-105)). Let q(t) = -t**3 - 5*t**2 - t + 5. Let v = 0 - -4. Calculate the lowest common multiple of v and q(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n**2 - 10*n - 8. Let p(l) = 3*l**2 + 2*l + 2. Determine -2*o(y) - 11*p(y).\nAnswer: -y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49997744 > -49997726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1615512765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12331959 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 217*j**6\/120 + 155*j**4\/24 + 2*j**2 - 12*j. Find the second derivative of m(f) wrt f.\nAnswer: 1302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and -0.1.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/1195 - -23888\/3585. Let q = 43\/55 + 42\/11. What is the common denominator of q and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 8}. Give prob of sequence rjj.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 11. Suppose p = a*p - 754. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -17, -390, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 33 - 11 = -4*p, -p + 35 = 4*z. Suppose -2*g - 19 = -3*w, -z = -2*w - g - 0. Solve 0 = 2*o + w*v + 19 - 6, 2*o + 2*v + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p. Let g(u) = -375781*u**2 - u - 2. Determine g(f(i)).\nAnswer: -9394525*i**2 - 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3402 less than -1.05?\nAnswer: -0.7098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:17 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-2)\/5)*5. Suppose -o*z + 2 = w, 0*z + 29 = 5*w - 4*z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 1, o: 1, v: 4, q: 5}. What is prob of picking 1 o, 1 h, and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*a - a - 8, -5*a = -3*i - 1. Let b(l) = -4*l**2 + 129*l - 265. Let w be b(30). Solve 0*z + i*z + t = 4, 20 = w*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 72, -2\/21, 10.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 28*w + 6*w**2 + 2*w**2.\nAnswer: 3*w**2 + 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 127959169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 6*k + 4. Let m be j(3). Suppose -m*a - 2 = 14, -8192 = 2*c - 2*a. Round c to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 greater than 872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v - 94. Let q be l(-7). Which is the closest to 6? (a) q (b) -0.3 (c) 0.3 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 4. Let y be i(-6). Let h(r) = y*r - 6*r + 3*r + r**2 + 1. Let z(d) = -144*d - 1008. Let l be z(-7). Calculate h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let b(i) be the first derivative of -i**4\/12 + 3*i**2\/2 - 6. Let a(x) be the second derivative of b(x). What is h(a(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717080*t + 3*t**2 + 5*t**2 - 1717080*t.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13cc + 8?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556372 is divided by 5743?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 34*w**3 + 32*w**2 + 34*w - 33.\nAnswer: (w - 33)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*g - 39*g + 1088. Find the second derivative of -42*f - 37*f - g - 5*f**2 + 0*f**3 + f**3 - 138 + 77*f wrt f.\nAnswer: 6*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 2755*y**4\/12 - 2*y**3 + 3*y**2 - 123*y. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -197875 (base 10) to base 14.\nAnswer: -5217d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 1955 - 11405 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -35557*s - 437. List the prime factors of r(-1).\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/15 - (-4)\/(120\/446). Suppose -10*f + 5*f = -a, -4*q + 2*f = -1674. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1193 + 2953. Round o to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q = -252*q - 8600 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 4*h - 180.\nAnswer: (h - 30)*(h + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13*z = 8*z - 19, -n - z + 1 = 0. Calculate the greatest common factor of n and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) - 3*sqrt(80)).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 2*w - 4. Let j(r) = r - 11. Let t be j(6). Let h(c) = -4*c**2 + c + 2. Let s(a) = t*h(a) - 3*y(a). Determine f, given that s(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377645261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*l + 2*l - 34, -2*h - l = -7. Is (h\/(-5))\/(4\/(-130)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 38847291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -25*g**3 + 15*g**2 + 6*g - 24. Is d(-7) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(396) + -1.\nAnswer: -3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 64 = -2*y, 4*a + 3*y - 92 = -y. Suppose 0*o = o - 5*f - 159, 615 = 4*o + f. What is the highest common factor of o and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 2*q - 2. Suppose 14*l = 20*l - 198. Let h(g) = -6 - 11*g + 7*g**2 - 5 - 23*g**2. Calculate l*v(b) - 6*h(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 - -4.6. Let p = 164 - 163.98. Let w = 2 + -2. Sort p, w, x in ascending order.\nAnswer: x, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Suppose -g + 15 = -n + 3, -3*g = -l*n - 29. Let x(j) = j**3 + 6*j**2 - 8*j - 2. Let s be x(n). What is the greatest common factor of s and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31*h - 32. Let g(f) = -64*f + 65. Let s(o) = 4*g(o) + 9*u(o). Let b be s(2). Let l be (-2)\/2*(1 - 4). Solve 3*n - b = -l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 32*b**2 + 14*b**2 + 18*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2 - 51*c - 458. Calculate r(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -346\/7 in -2\/3, 22, -2\/7, 20, -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110ca (base 13) to base 3\nAnswer: -1120102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2047 + 1973. Solve 0 = 32*t - w*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 16*l - 6570. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.6 and 5156222.92.\nAnswer: 5156226.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let b be (-5)\/(-60)*-3*(-1 - -1). Let g(k) be the second derivative of b - 25\/12*k**4 + 0*k**3 + 2*k + 0*k**2. Give w(g(p)).\nAnswer: -625*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*z - 12, -6*i = -3*z - 4*i - 14. Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/6 - 92*x**3\/3 + 2116*x**2 - 194672*x\/3 - 128. Solve s(r) = 0 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 - 397*k - 103 + 127 + 334*k in the form r + f*k and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**3\/3 + 16. Let h(r) be the second derivative of 1\/6*r**3 + 2*r + 0*r**2 + 0. Calculate h(q(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 9*p**2 + 2*p - 7. Give w(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 1, f: 1, r: 4, w: 1}. What is prob of picking 1 a, 2 q, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and 10.8168?\nAnswer: 10.6868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-21) + (-2)\/(-7). Sort w, 1, 0, 11 in decreasing order.\nAnswer: 11, w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:25 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.75 - 1.2. Let d = 0.5500033 - m. Round d to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 + 220. Suppose 2*t = l*p - 1060, 6*t + 1056 = 4*p + 5*t. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -25355135355?\nAnswer: -25355135353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -1.57, -0.38, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**4 + 6*n**3 - 3*n. Let s(d) = d**5 - 19*d**4 + 11*d**3 - 7*d. Let h(g) = 7*q(g) - 3*s(g). Factor h(l).\nAnswer: -3*l**3*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 75 = -5*i, -r - 240 = -6*r - 2*i. Let p = -34 + r. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5 + 4. Find the second derivative of -4*k**3 + 2*k**3 - 7*k - 5*k**l wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.4. Let l = t - 0.8. Let d = -1 - l. Which is greater: d or -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -11) + (7 + -2)\/(25\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 75624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -61*j - 16. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:31 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41844 (base 11) in base 6?\nAnswer: -1145555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1056423 and 2.\nAnswer: -1056421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 2. What is the second derivative of 2*r**x + 0*r + 2*r**2 - 2*r + 3*r wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 47196*k**2 + 2*k + 17. Let s(u) = -2*u**2. Calculate w(s(a)).\nAnswer: 188784*a**4 - 4*a**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 0*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*sqrt(3024))\/(sqrt(567) - sqrt(567)*-6))*-3*5.\nAnswer: -100*sqrt(3)\/7 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010101111010 + 101?\nAnswer: -11010010101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 27947*y + 27958*y - 3.\nAnswer: 11*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -576 + 435. Let o = l + 206. Calculate the highest common factor of o and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, 3, -1, 249, -5, -14 in descending order.\nAnswer: 249, 3, -1, -3, -5, -14, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1633 (base 13) to base 11.\nAnswer: -2498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-21)*c\/(c\/c**29))\/(c\/c**(3\/11)*c**(1\/2)) assuming c is positive.\nAnswer: c**(149\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(539) + 0 - sqrt(539)))*6 - (6*sqrt(99)\/sqrt(3))\/(sqrt(3) + 2*sqrt(12)).\nAnswer: -6*sqrt(11)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26762740, -26762754, -26762768, -26762782, -26762796, -26762810?\nAnswer: -26762824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152644, -305283, -457922, -610561, -763200, -915839?\nAnswer: -1068478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 676, 1021, 1366?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9457e (base 15) to base 4\nAnswer: 1302311201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 320.44 and 4.\nAnswer: 324.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -7. Suppose 0 = 5*s - k - 52, -k - 29 = -3*s + n. What is the smallest common multiple of s and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from egwxxwxwwg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 23. Let w = -21481 - -30534. Let o be w\/165 + 6\/45. Calculate the highest common divisor of m and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = 8*o + 52. Let s = o - -82. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480968 - -0.5?\nAnswer: 480968.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 3*j - 1. Let l(b) = 102*b**2 - 3*b + 133. Let k(a) = 2*l(a) + 2*z(a). Differentiate k(y) wrt y.\nAnswer: 404*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4499600 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 11*m**2\/3 - 4*m\/3 + 44\/3.\nAnswer: (m - 11)*(m - 2)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(6\/(-4)))\/((-3)\/117). Let s = 470 - d. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58990*a**3 + 113872*a**3 - 54873*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -0.1. Let i = 0.0605 - m. Round i to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 + 264288442*i**2 + 8731047703992640*i + 8731047439704200 = 0. Calculate i.\nAnswer: -66072110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.2 + 289.2. Let m = u - 528. Let h = -216.7 - m. What is h rounded to zero decimal places?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*9\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 3 + -2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b4 (base 15) in base 12?\nAnswer: -a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.1, 5, -1\/4.\nAnswer: -1\/4, 0.1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 991*q**7\/42 + 355*q**3\/6 - q**2\/2 - 3626*q. Find the second derivative of r(s) wrt s.\nAnswer: 19820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 49 - 153. Let t(w) = 309 - 613 + z*w**2 + 304. Let o(h) = 0*h + 3*h**2 + 0*h. Determine t(o(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**5 + 1\/420*c**7 + 2\/3*c**3 - 2 + 0*c**6 + 0*c. Let n(g) be the third derivative of o(g). Factor n(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-21))\/(-1)*15\/18*192\/480.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.714 from -134.\nAnswer: -126.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 2121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*q = -k, 4*q - 8 = 0. Let p(m) = m**2 - 23*m + 9. Calculate the remainder when p(23) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -u + 2, -4*u + 2*y = 33 - 41. Solve 8 = 2*c - 4*p, c - u*p = p + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(3*r**5 + r**5 - 6*r**5) + 19*r**4 - 30*r**5 - 19*r**4 - 2*r**5 + 18*r**5 + 8*r**5.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-652)\/(-140) - 52\/2366*39.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:18 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755962 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = 2*q. Suppose j = -2*o, -j = q*o + 2 + 2. Solve -m - j = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1263943 (base 11) to base 14\nAnswer: -40cc46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166989811 less than -0.1?\nAnswer: -166989811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 151*t. Let q(k) = 6. Let s(a) = 2*a + 48. Let x(j) = -8*q(j) + s(j). What is y(x(r))?\nAnswer: 302*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 236, 524, 928, 1448, 2084?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 17 + -21 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 3 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 886 = -3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 1, u: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:42 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 134105693 bigger than 134105688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95168 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*z - 4*z = -17, -s - z + 5 = 0. Suppose 0 = 2*v + s*v - 85. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 404. Let b be m(-14). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2531, -2541, -2565, -2609, -2679, -2781, -2921?\n\"Answer: -m**3 - m**2 - 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggigcd. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5. Let c = 33 + -19. Let k = -19 + c. Let g be z(k). Solve 4*w + g*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1557843*o**4 + 1211845.\nAnswer: 6231372*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 15375195.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 170*g + 168*g = 10, 2*x + 4*g = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.912*-1390.\nAnswer: 1267.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-28) - 4370\/42. Let b = v - -103. Let d(c) = -3*c + 3. Let r be d(2). Put -2, r, b in increasing order.\nAnswer: r, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, w: 2, f: 5, d: 1, y: 3}. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 1\/42*d**4 + 0*d**3 + 0*d**2 + 14*d + 0 - 1\/70*d**5. Determine y, given that j(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(12)*1*-4)\/sqrt(4) + (((sqrt(432) - (sqrt(432) + -1)) + sqrt(3))*5)**2 + -1).\nAnswer: -198 - 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 14*z**2 - 12*z - 8. Give o(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9666 divide 6207241213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from {h: 1, t: 1, w: 1, o: 2, l: 2, c: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/65)\/(11 + 31726\/(-2900) + 0).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 18*v**3 - 5*v**2 + 6*v - 5. Let y(o) = 19*o**3 - 4*o**2 + 5*o - 4. Calculate -4*g(d) + 5*y(d).\nAnswer: 23*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:44 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 3 + d - 7*d - 4 as b + s*d and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 4. Let c be 6003 + (2 - (7 - y)). What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.007, -18\/13, -7.18 in descending order.\nAnswer: 6, -0.007, -18\/13, -7.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -30*l**2 - 2727*l + 3042. Calculate r(-92).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 211*q**2 + 3*q. Let h(z) be the first derivative of -5*z**2 + 2188. What is r(h(c))?\nAnswer: 21100*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 + 4*v - 29. Let h(i) = -5*i**2 + 3*i - 28. Calculate -3*g(n) + 4*h(n).\nAnswer: n**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 1, 5 in decreasing order.\nAnswer: 116, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + -223344?\nAnswer: -223234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 2*y - 5. Let c = 132 + -137. Let l(k) = -3*k**2 + k + 2. Give c*l(o) - 2*a(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/142196580 and -43\/60.\nAnswer: 142196580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16626 (base 13) to base 14\nAnswer: 11845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435658 is divided by 20737?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 5, w: 4, a: 1, f: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 - 3 = -d, 3*d = 2*u + 7. Let n = u - -2. What is the lowest common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103919\/10218 + -6\/1703. Suppose 0 = -5*f - 3*a - 27425, -3*f - 15754 = -a + 715. Let c = f - -43973\/8. Calculate the common denominator of k and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -2298\/443, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81300 by -6.\nAnswer: -13550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/3 and 53\/2559.\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 9\/10, -0.3, 19\/8, 12, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, 3, 2 in increasing order.\nAnswer: -23, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-10))\/((-686)\/420 + 18\/12). Solve y*b - 57*b = 192 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21011 (base 3) to base 13.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.942 + 2.742. What is the second smallest value in -5, -18.5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 15) in base 2?\nAnswer: 11111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.2281 - -0.1281. Let i = u + 55. Let m = 36 - 35.5. Which is the closest to i? (a) -3\/8 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*h - 113*h - 219*h to t + k*h and give k.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 9156045*f - 18312110 = 0 for f.\nAnswer: -2, 1831211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2. Let s(f) be the second derivative of -35*f**3\/6 - 2*f + 1. Calculate h(s(k)).\nAnswer: -4900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 3*q)*(-12*q**2 + 25*q**2 + 15*q**2) + (1 - q**2 - 1)*(-5 - q + 5).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154485453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d = -342. Suppose 2*c - 291 - d = 0. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-100) + (-2 - -1). Is 89 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 1047*q + 1045*q = 21, -30 = -3*v + 5*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 2\/15 (c) 0 (d) 19\/33 (e) 2\/5 (f) -2\/7 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f + 39*f = -23*f + 330 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3657*q - 2925 = 3632*q. What is the greatest common divisor of 195 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -0.2. Let t be 82\/5 - 2\/5. Let i be (-2)\/(-7)*8\/t. What is the closest to 1 in i, -3, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 150885490 and 2.\nAnswer: 150885492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 76, 8, 4 in increasing order.\nAnswer: -4, 4, 8, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*k + 15, -4*k + 6*k - h - 11 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7353671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -331*a**5\/5 + a**4\/4 + 4602*a - 2977. Differentiate p(s) with respect to s.\nAnswer: -1324*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 - 183*p**2 + 90*p + 5400 = 0. What is p?\nAnswer: -5, 6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:12 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-1540)\/1650)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g + 1. Let o be q(-1). What is the units digit of (2 - 3)*8*o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 176543*o - 607. Let u be p(49). What is u rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + (-63)\/(-12). Suppose 15 = s - 3*z, -5*s = z - 0*z + h. Let d = 3 + -1. Sort s, -5, d in ascending order.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 minus 273090331792?\nAnswer: -273090331792.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let t be a(-2). Suppose -l + t*l = 0. What is the common denominator of l - ((-81)\/(-30) + -2) and 79\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 13*m**2 - 14*m + 2. Is 7 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 33. Let a(o) = -10*o + 6. Let m be a(j). Suppose 3*b = -5*n + 30, -b - 3*b = -2*n - m. Solve -b = -2*d - d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685161 divided by 3.\nAnswer: 228387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + 1?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 31. Let m be h(5). Let g be (m\/(8\/12))\/((-2)\/12). Which is bigger: 11 or g?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49559754?\nAnswer: 2, 3, 1987, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -2.86. Let g = i - 2. What is the nearest to g in -5\/4, -5, -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 16282 - 1947 = 289*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -154998.0578 rounded to the nearest 1000?\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -368?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 422, 787, 1298?\nAnswer: 1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-115)*(-351)\/234.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3538.534 litres?\nAnswer: 3538534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 18 = -18 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2 + j**3 + 80 + 0*j - 107\/4*j**4. What is the third derivative of g(w) wrt w?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8646*n**3 - 16*n**2 - 736187*n.\nAnswer: -51876*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**19)**(2\/123) assuming a is positive.\nAnswer: a**(76\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 36. Suppose -c*x = -4*x + 6. Solve x = t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b + 0 - 2*b**2 - 1\/24*b**4 - 1\/2*b**3. What is the units digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6126059 to the power of 1\/2, to the nearest integer?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9243655.\nAnswer: 5, 41, 67, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c - 9. Let n = 3 + -1. Suppose -8 = -2*i - n*i. Let o(y) = -2 + 2*y + 4 + i*y. Determine -26*o(l) - 6*w(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1141 + -1141.0428. Round s to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 25 + 26*w + 7 - 1 + 2*w + 1 + (2*w - w + 2*w)*(5 - 5 + 1) as g*w + m and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -7 (c) -4 (d) 6\/5 (e) -1\/300\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2280*q - 49419. What is a(-21)?\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.677 rounded to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 417.63105 minutes?\nAnswer: 0.2900215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 18*l - 25. Let y be o(-20). Let f(n) = n**3 - 15*n**2 + 10*n + 26. Let m be f(y). Suppose -25*z = -23*z - m. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 387*o + 1462*o - 387*o + o**2 - 253*o to the form i*o + c*o**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10038 is divided by 2454?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -b - 11, -b - 678*i + 315*i - 17 = -360*i for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.41 - 0.01. Let j be 2\/(-36)*204\/(-3). Let l = j - 109\/36. Sort 1\/3, l, n in decreasing order.\nAnswer: l, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399882.\nAnswer: 2, 373, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-11))\/(3990\/(-228)*2\/(-182))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*u**3 - 92697*u + 46353*u + 106*u**3 + 46346*u.\nAnswer: 146*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203268?\nAnswer: 2, 3, 13, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 70168872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 - 492*c**4 - 352*c**2 - 1498783*c.\nAnswer: -40*c**3 - 5904*c**2 - 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(-d**2 - 5 + 5) + 2*d**2 - d**2 + d**2 + 1 - 1 - d**2)*((0 - 3 + 4)*(0 - 2 + 1) + (-1 + 4 - 1)*(-3 + 3 - 1) - 24 - 12 + 14).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 357.9, -2, 0, 4, 1\/4, 2\/3.\nAnswer: -2, 0, 1\/4, 2\/3, 4, 5, 357.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 4218?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + 2 + sqrt(320) - (sqrt(320) - (sqrt(320)*-4 + -3 + sqrt(320)))) + 2)**2.\nAnswer: -144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/627 or 0?\nAnswer: 2\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407546 is divided by 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0262486 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/4)\/(-14))\/(1\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g - 4*g)*(-6350 - 135*g - 140*g + 276*g) as a*g**2 + m*g + p and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3552 + 240*c**2 + 1750*c - 238*c**2 + 3556 in the form y*c + g*c**2 + d and give y.\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 5, 4, -63 in increasing order.\nAnswer: -63, 4, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 2. Let o(p) = -4*p - 5. Let h(u) = 9*u + 12. Let q(d) = 3*h(d) + 7*o(d). What is -5*k(z) + 8*q(z)?\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32892816 to the nearest integer?\nAnswer: 5735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32930*a**3 - 193*a**2 + 15*a?\nAnswer: 197580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4 = 5*i + 5, -3*i - 3*m - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + 4*m, -6*n + 4*m = -2*n. Solve y + 2*j - 22 = -3*y, -y - 22 = -n*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -981789805.9 to the nearest 10000.\nAnswer: -981790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 559?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, s: 2}. Give prob of picking 1 x and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 365*z. Let k(t) = 9*t. Determine k(q(i)).\nAnswer: 3285*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + d**4 - 2*d**4 + (-2*d + 0*d + 0*d)*(0*d**3 + 2*d**3 - 4*d**3) - 4*d**4 + 5*d**4 + 0*d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38964 is divided by 4869?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 35160.07 tonnes?\nAnswer: 35160070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135612 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -14*i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - -191) + (3 - (7 - (-2 + 2))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onkkvkkwnnwron. What is prob of sequence nvwr?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116667 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, -3 = v + 5*c + 2. Let n = 8 + -11. What is the closest to 2\/7 in v, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-30) + 1864323\/90 - 3) + -2.\nAnswer: 2, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 27*r + 20 = 0. Let n(y) be the third derivative of -y**6\/120 - y**5\/12 - y**4\/4 - y**3\/3 - 5*y**2. Calculate n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*v**2 - 6*v**2 - 3 + 3 + 162*v**2.\nAnswer: 270*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 113476 and 0.5.\nAnswer: 113476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474936.5cm to kilometers.\nAnswer: 4.749365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 6*l**2 + 17*l - 12. Let c be a(2). Let r(k) = k**3 + 17*k**2 - 17*k + 21. Determine r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b + 19*b**2 + 13*b**2 - 22*b**2 - 5 + 18*b**2 - 22*b**2. Let o(g) = -2*g**2 + 3*g + 2. What is -8*o(a) - 3*s(a)?\nAnswer: -2*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let v be (250\/4)\/(z\/(-6)). Suppose -150 = -183*b + 177*b. Calculate the highest common divisor of v and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.2 - 9.2298. Round j to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16647114.3 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7715, -15432, -23149, -30866, -38583, -46300?\n\"Answer: -7717*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = 5. Let f = 8374 + -8362. Solve -m*l + o - f = 5*o, -5*l + 12 = -4*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -3333777?\nAnswer: -3333780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, 2705, -26 in descending order.\nAnswer: 2705, 2, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgtg when four letters picked without replacement from jnbjnsjjbgnbjggjt?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 24*r - 29. Is g(11) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15602826?\nAnswer: 2, 3, 37, 67, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1467 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48934, -48916, -48898?\n\"Answer: 18*l - 48952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -554 + 552. Put b, 30, -4, -3 in decreasing order.\nAnswer: 30, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259909 is divided by 540?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7413.\nAnswer: -14826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 6*c + 1. Let n be x(4). Let y = -8 - n. Let l be (-2)\/(3 + y)*-3. Solve -k = 5*s - 9, -k + 11 = l*s - 6*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*g + 137 = -3*g, -z + 5*g = 8. Let o = z - -35. Suppose -717 = -o*n - n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 + 108780*u**3 - 582556790*u**2 - 98964019140*u - 4138343580845 = 0. Calculate u.\nAnswer: -83, 10961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/2 - q**3 + q + 3. Let f be w(-2). Suppose 0*u - 10 = -f*u. Solve -2*x - 4*n + 18 = 0, -6 = -4*x - u*n + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*((i*i**(2\/7))\/i*i)\/i*i))\/i)\/i)**(-16\/5)\/((i*i*i\/i**(-11))\/(i*i*(i*i**(-5\/6))\/i)) assuming i is positive.\nAnswer: i**(-1159\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3317 - -13496. Does 111 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/147 - p**6\/21 - 16*p**5\/35 - 6*p**4\/7 - 33*p - 2. Let a(y) = 0. Calculate y.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 68.01. Let z = s - 67.8. What is the nearest to -0.1 in z, 2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w - 16, 3*f - 5*w = 20. Suppose r - 5*c - 152 = f, 7*r - 294 = 5*r + 5*c. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2995 - 1.5165. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 - 11 = 0. Let q be (-1)\/(-3) + (-17)\/h. List the prime factors of 18 - q*1\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*l + 14 = -1018*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n**2 - n**2 - 3*n**2)*((-n + 0*n - n)*(-5 + 4 + 2)*(-1 - n + 1) + 2*n**2 - 41 + 41) as s + k*n**4 + y*n**2 + v*n + x*n**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -13233 and -32.\nAnswer: -13265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 124\/31 - (-2)\/(-2). Sort i, -52, -5, 4.\nAnswer: -52, -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**4 - 8*c**4 + 38*c**4 + 2*c**3 - 2*c**2 - 12*c**4 + 9 to the form i*c**3 + x*c**2 + b + a*c + n*c**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000118549347 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/4 - y. Let x(z) = -2*z + 4. Let i(f) = -2*f + 3. Let r(j) = 4*i(j) - 3*x(j). Determine r(s(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -8. What is the common denominator of (4 - 31)\/((-10)\/(-15)) and (n\/22)\/((-2)\/(-16))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.267 and 9.7187.\nAnswer: 51.1883929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -15 + 42 + -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.124 (c) -1\/3 (d) 5 (e) -880\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 5 = 5. Let m be 3\/x*(-1 + 28\/(-21)). Suppose -8*q = -m*q - 165. Calculate the greatest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l**3 - l**2 + 5*l - 5. Give r(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.1, 300248, 4, 5 in increasing order.\nAnswer: -3, -0.4, -0.1, 4, 5, 300248","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 3\/4, -2\/75, -24\/95?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 + 5*b - 1. Let u be c(4). Let y(a) = 4 + 1 - u + a. Let t be 5\/((-105)\/77) + (-2)\/(-3). What is y(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14875 + -14873.9901. Round u to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let t = -2 + 12. Solve 4*i - 4 = i + u*d, 0 = 3*i - d - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-3 + 2 + 4). Let t(a) be the second derivative of 4*a - 3\/2*a**2 + 0 - 1\/6*a**3. Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 170, 580, 1256, 2198?\n\"Answer: 133*n**2 + 11*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*p - 4444 = 141*p + 8114 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from vyvytyttgtyyytvtt.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 times -0.136?\nAnswer: 0.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.46 from -620415300.5.\nAnswer: -620415302.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 + 0 = -3*l, 5*l = 2*d + 25. Let p = -3 + 4. Let b be p - -1 - 0 - -2. Solve -l*i - 7 = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g**2 - 2*g**2 - 23 + g**2.\nAnswer: -g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/49 (b) 0.15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 2)\/(-9 - -5). Let l be 1\/(-3) - 9156\/(-90). Let q = -101 + l. Put -3, r, 2, q in descending order.\nAnswer: r, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, t: 1, e: 5, v: 2}. Give prob of picking 1 o, 1 t, and 1 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (162 + -72) - -93?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 73, 97, 119, 139?\n\"Answer: -p**2 + 29*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/416 and -27\/32065120.\nAnswer: 416846560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -113*k**7\/105 + 751*k**3\/6 - 698*k**2. What is the first derivative of z(g) wrt g?\nAnswer: -904*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 981\/109*1\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 11}. What is prob of sequence taa?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 764177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -32 (c) -999.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*j + 16 - 122, -2 = 4*j - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let j(h) = h + 0 + 0 + 144*h**2 - h. Give j(d(g)).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:25 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + d = -16, 0*w - 2*w + d - 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let n = -33 + 65. Suppose 0*o = -4*o - n. Let g be m(o). Solve -g*t - l = -4*t - 15, t - 1 = -3*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 2a99a?\nAnswer: 2a99c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, -1, 0.4, 0.125, 2\/7 in decreasing order.\nAnswer: 0.4, 2\/7, 0.125, -1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8 - 10. Let t(y) = y. Let g(d) = -57*d + 26*d + 25*d. Let h(r) = g(r) + 5*t(r). Let w(c) = -c. Give i*h(a) - 7*w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 + 34*n**4 + 156*n**3 + 64*n**2 - 256*n = 0.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3960 and 33.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 225 and 3.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-12)*2)\/(42\/(-9))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in 11, -2\/9, 46.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0257949 and -3?\nAnswer: 3.0257949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 415 = 5*s, 4*h + 229 + 20 = 3*s. Suppose 0 = -3*p + 42. What is the remainder when s is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**7\/140 + h**4\/6 - 4*h**3 + 9. Let p(o) be the third derivative of c(o). What is the derivative of p(q) wrt q?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let f(a) be the third derivative of -30 - 5\/3*a**4 + 0*a - 4*a**2 + 1\/3*a**3. Determine x(f(y)).\nAnswer: -1600*y**2 + 160*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 8*x**2 - x + 3. Let h be p(4). List the prime factors of (-258)\/301*h*245\/1.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:59 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19001*w = 19036*w - 245 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 + 6*y + 15. What are the prime factors of g(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*i - 120*i + 209*i - 10845 + 3045 = 0 for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44420163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:59 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/153, 1, 56, 5, 1\/6.\nAnswer: -2\/153, 1\/6, 1, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 9294*u - 9294*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1451\/2 - 716. Let q = l + -167\/18. Let v be (-10)\/(-6)*(-8)\/(-20). Which is the closest to v? (a) 2\/7 (b) q (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*l + 910*l + 61347 = -150*l - 176*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398810738.\nAnswer: 2, 139, 1434571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/31 or -1?\nAnswer: -41\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*x - 0 - 6, 2*x = 5*v - 8. Suppose 0*f - 5*f = 15, 5*f = v*j - 31. What is the remainder when j is divided by (-2)\/7 + (-16)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1198*o + 6412*o**3 + 1198*o - 2242*o**3 - 1448 wrt o.\nAnswer: 12510*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35393 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from rkksksrrksksrkjrksl.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -3*x**8\/112 - x**5\/10 - x**2. Find the third derivative of h(i) wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q - 99. Does 6 divide ((-6)\/(-18))\/((-1)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-37))\/i*i*(i**(-2\/103)\/i)\/i*i*(i*i\/(i**(-33)\/i))**(1\/2) assuming i is positive.\nAnswer: i**(-1959\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5011702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 <= 3319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 66 = 5*o, -4*l + 27 = -3*o - 16. Let m be -8 + (-6 - o) - -295. What is the greatest common divisor of 84 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7669 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6535852.\nAnswer: 45750964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50778726 and 2287330.\nAnswer: 253893630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 56, -4\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 93\/5*t**2 - 2\/5*t - 124\/5 - 1\/10*t**4 - 59\/10*t**3 = 0.\nAnswer: -62, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 87. Let c be 49680*(v - (-232)\/6). What is c rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrkkoxbkxbb. What is prob of sequence bkx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 11*f - 168. Suppose 0*v + 8*v = f. Suppose -4*j - v*l = -190, -4*j = -0*j - 2*l - 200. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/8991 and -4\/1218597?\nAnswer: 3652135209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 4*c**2 + 6*c - 7. Let w be b(5). Is (w - 0)*(-1036)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 14*q - 7*q + 12*q + 27*q - 78.\nAnswer: 46*q - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4557 and 494?\nAnswer: -3189.1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 868 + -560. Let p be (-2 - (-39)\/9)*(0 - -12). What is the greatest common factor of f and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c*c**(1\/16)\/c assuming c is positive.\nAnswer: c**(-143\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-5 + 1) - -404 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 20 - 5. Suppose 3*s = -3*t + 36, -t - m*s + 18 - 2 = 0. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21121, 28717, 36313, 43909?\n\"Answer: 7596*g + 13525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/60 and 4*(-3141)\/1512 + 5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 3:12 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31603 and 5577?\nAnswer: 94809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((4 - -1) + (0 + 30 - 5))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u + 3 - u + (-u - u + u)*(-4 + 2 + 3).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 7603078085?\nAnswer: 7603078085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886246287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 divided by -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11011002102001 (base 3) to base 6\nAnswer: -115142044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 462 (base 7) to base 10\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 36 - 39 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 - 101. List the prime factors of f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s - 12 - 7*s + 12. Let m(k) = -112*k. Give z(m(i)).\nAnswer: -336*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 - 8688565*d\/4 = 0. Calculate d.\nAnswer: -8688565, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 8. Let f be v(6). Let b be 3\/15 + (-4)\/f. Suppose b = 5*k + 5 - 70. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 - -411. Let a(x) = -x**2 + 12*x + 4. Let b be a(10). Suppose 3*j + b = r. Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkksioxxsxd. What is prob of picking 1 k and 1 x?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(10\/9)*o**(8\/7)*(o**(-6))**(-27))**6 assuming o is positive.\nAnswer: o**(20542\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f + f + 2*f. Let m(s) = -s - 4. Let w(v) = -2*v - 9. Let y(a) = 9*m(a) - 4*w(a). What is y(n(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:14 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 2*n - 3. Let u be h(-4). Let g be u\/(-2)*2 + 3. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n**3 + 10*n**2. Let r = 7 + -7. Suppose -2*q - 2 = 0, 10 = 2*y - r*y - 4*q. Let b(h) = -5*h**3 + 3*h**2. Determine y*c(g) - 10*b(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 6 + 6*v - 9*v + 13.\nAnswer: -3*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701284 a multiple of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 0 - 703*x - 471*x + 376*x + 3. Let s(k) = -399*k + 1. Let q(y) = -9*s(y) + 4*u(y). Let h be q(3). What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -26*g + 32*g. Suppose 13 + g = 3*b. Solve -3*w - 2 = -4*p - 30, 4*w - b = -p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:10 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i + 5. Let d be x(-6). Solve 2*r + d = 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16245.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 14*t**2 - 8*t - 36. Let z be k(-7). Solve 0 = -4*d + 11*u - 14*u + z, 3*d - 15 = -4*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 8. Let d be p(10). Let r be (6\/(-4))\/(-3)*6. Find the second derivative of 6*i - 6*i**2 + 4*i**d - r*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1141744 + 2?\nAnswer: -1141742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1131*s**4 + s**2 - 81*s?\nAnswer: 27144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/75)\/(8120\/350)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 615105950 divided by -5?\nAnswer: -123021190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1283, 1273, 1255, 1229, 1195, 1153?\n\"Answer: -4*x**2 + 2*x + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 16*a**2 + 13*a + 36. Let m be c(15). Solve -3 = 3*q + m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let w(s) = 19943*s**2 + 8 - 19942*s**2 - 6 + 7*s. Give w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.37 + -0.39. Let x = n - -15.86. Round x to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6857877 by 1.\nAnswer: 6857877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.07 (c) -0.15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3936 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1116*m - 1058*m + 4372 - 4372 - 2418*m to the form l*m + i and give l.\nAnswer: -2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 338 = -332. Let n(z) = -z**3 - 4*z**2 - 3*z - 1. What is n(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 3*m + 21 + 30 - 63 = 0, -2*t - m - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100823 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:32 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -347, -350, -355?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from gvfzlvl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**2 + 0*w**2)*(2 + 2 - 3) + 0*w**2 + 0*w**2 + w**2 + (-3*w + w + 0*w)*(-2*w + 4*w - w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-20)\/2. Let a = l - -8. Suppose 5*y + 5 = 3*d, -2 = 4*d - 5*y - 7. Sort d, a, 4 in descending order.\nAnswer: 4, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056665481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 2*z - 3*z + 2*z - z + 0*z + (0*z + 0*z - 2*z)*(0 + 5 - 4) - 1 + 1 - z - 5*z + 4*z + 0*z - 2*z + z + 3*z + (9*z - 20*z + 7*z)*(6 - 21 - 7).\nAnswer: 86*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 952302.6 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/10 - l**4\/4 - l**3\/2 - l**2\/2 + 29*l - 25. Let k be ((-19)\/(-19))\/(2\/(-4)). Calculate f(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/5 and 137\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45198809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114066 divided by -14.\nAnswer: 57033\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.7 - -19. Suppose 13 = -5*k + 2*k + 4*v, -4*k = -2*v + 4. Let p be k\/(5\/(10\/(-4))). Sort j, p, 5 in descending order.\nAnswer: 5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**17*h)*h)\/h**(1\/35) assuming h is positive.\nAnswer: h**(-561\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 2*(sqrt(55) - sqrt(275)\/sqrt(5)))\/((sqrt(5) + sqrt(20)\/sqrt(4))*-5 - sqrt(5)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13903300*x**2 + 232177*x - 246?\nAnswer: 27806600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let q(l) = 3*l + 1. Let s(u) = 6*u**2 + 32*u + 11. Let r(k) = -22*q(k) + 2*s(k). What is r(j(c))?\nAnswer: 108*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 59*l**2 + 733*l + 1743. Calculate q(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - 44\/28. Let n = 2638 + -2634. Which is the smallest value? (a) l (b) -0.16 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 10. Let d = -16 - -23. Let w be q(d). Suppose w*s = 9*s - 250. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, 0.0331, -5, 10, -1\/2 in increasing order.\nAnswer: -5, -1\/2, 0.0331, 0.35, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 + 22*v + 38. Let i be w(-3). What is the greatest common factor of 272 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 132*z + 4638. Calculate x(-29).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 + 4.6. Let w = 0.79948 + p. What is w rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66813 is divided by 3321?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 2. Let y(c) = c**3 + 48*c**2 + 33*c - 636. Calculate the least common multiple of u(6) and y(-47).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3560*s**3 + 4351*s**3 - 18846*s**3.\nAnswer: -18055*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/197 - -350\/2167. Which is the closest to -13\/3? (a) -3 (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - 3*c + 12. Let x(f) = f**2 - f + 3. Let p(v) = -g(v) + 3*x(v). Let d be (6\/(-9))\/((-4)\/(-6)*1). Let k(i) = 1. Calculate d*p(o) - 5*k(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - (-2)\/(-6). Let k(l) = -11*l - 1. What is the units digit of k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 14\/12)\/((-1177)\/(-1926))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(252) + 3)**2*-4.\nAnswer: -1046 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122201110200100020 + 10?\nAnswer: -122201110200100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 22. Let t be c(-7). Let q = -12 + t. Let a(x) = -x. Give a(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113112 divided by 28278?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -56349431.\nAnswer: -16904829.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*r - 8, -2*p + r = -8 - 28. Suppose 2*z = -f + 3*f + 26, -5*f - 4*z = p. Let l = f - -15. Calculate the lowest common multiple of l and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3974504 grams to tonnes.\nAnswer: 0.0000003974504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1976 - -1980. Which is the nearest to 1? (a) 2.1 (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1969.8?\nAnswer: 1969.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79398834?\nAnswer: 2, 3, 19, 696481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. Let r(k) = 24 + 0*k**s - 43 + k**3 - 6*k - 8*k**2. Does 2 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33600 is divided by 11136.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 0. Let g = y + -5. Suppose 2*u - 112 = -2*u. What is the highest common factor of g and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4240*l - 4236*l + 96 = 0 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2031 = 22*u - 785. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from {t: 7, e: 5, c: 8}?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120*v**3 - 121*v**3 - 7*v**2 + 22 - 19 - 11*v)*(4 - 4 + v)*(-2 - 3 + 0) to the form k*v + y + q*v**4 + x*v**3 + a*v**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5172, -428, 2, 3 in decreasing order.\nAnswer: 3, 2, -428, -5172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 3*t + 3. Let g be v(-3). Let p = -13 + g. Let z = -7 - p. Solve -16 = -z*i + q, 3*i = 3*q + 5 + 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + 2 - (-9 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 2*p - 6. List the prime factors of z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v**3 - 4*v - 19 + 45 + v**3 + v**2 - 23. Calculate g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125394\/731465*(-1190)\/4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 710, 1270, 1832, 2396?\n\"Answer: n**2 + 557*n + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 433 + 48c8?\nAnswer: 502b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-26)\/10 + (-9)\/(-15). Let h = v - 14. Let w be (-12)\/h*6\/(-20 + 2). What is the nearest to w in 47, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**7*m**(-4)*m)\/(m*m**(1\/9)*m\/m**7) assuming m is positive.\nAnswer: m**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 183, -31, 7, -4, -5, 2.\nAnswer: -31, -5, -4, 2, 5, 7, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 15. Suppose 0 = 2*x - o*x. What is the nearest to x in -3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Sort 2\/3, 26, -13, 13\/8, 2 in descending order.\nAnswer: 26, 2, 13\/8, 2\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3939 (b) -2\/15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(243) + 0 + sqrt(243))**2 + -4*-4*(sqrt(243) + 2 + sqrt(243)).\nAnswer: 324*sqrt(3) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 0*t - 2*t. Let d be (-297)\/(-55) + (24\/15 - 2). Let a be s(d). Solve -3*q = -2*v - 5, 7*q + a = 5*v + 4*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -150\/13, -4, 1\/4, 293, 2\/5, -25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpllsbssspflbf. What is prob of picking 1 s, 2 t, and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*i - 16. Suppose 2*y + 10 + 11 = i*s, 5*y - 4*s = -10. Calculate the remainder when 9 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a factor of 13992765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*v**3 + 180*v**3 - 1116*v**3 + 750*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = 3*w + 6, -6 = -4*w - 2*f. Suppose -4*d = -n - 1, -n + 3*d = -0*d. Let l = w + n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1023 from 27.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10873 (b) 0.1 (c) 66\/61 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Let b(p) = 735*p + 4. Let f(q) = 5887*q + 32. Let o(x) = -17*b(x) + 2*f(x). Calculate z(o(j)).\nAnswer: 519841*j**2 + 5768*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132))\/sqrt(3).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 72. Let z(y) = y**3 + 6*y**2 - 5*y + 10. Let r be z(-7). Let h = r - -12. Calculate the greatest common divisor of s and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 263774*t + 2109738. Calculate n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 132\/(-12)*(2 + -3). Suppose -3 = 2*v - a. Suppose v*z + 5 = 3*z + 5*r, z + 2*r = 2. What is the nearest to -1\/4 in 5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1530165 and 195.\nAnswer: 1530165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3549\/(-84))\/(2 + -4) + 8\/(-64)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 2789514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -3*t**2 + 3. Let r(l) = -l**2. Determine r(k(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*g - 6. Let y(c) = -3*c**2 + c + 7. Let k(u) = 4*u**2 - 7. Let j(i) = -2*k(i) - 3*y(i). What is the lowest common multiple of j(5) and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 6, d: 2, v: 8, z: 1}. Give prob of sequence yz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.53075 - 21.5. Let w = -0.97 + 1. Let m = w - i. Round m to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.112 - 0.083. Let y = t + 0.19381. Round y to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4977 and 1106?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/4*27017664\/(-144) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1388 in 2\/9, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 238, 220, 202, 184, 166?\n\"Answer: -18*f + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(-5*(sqrt(136) - sqrt(136)*-1) + sqrt(136) - sqrt(136)))\/(2*sqrt(2048)*1).\nAnswer: 45*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:47 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5*m**3\/3 - 535*m**2\/2 + 1560*m + 11049. Factor y(t).\nAnswer: 5*(t - 104)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 + 2*b + 1. What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1324)\/(-10) - (-21)\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/840 and -73\/150?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4248835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uprbbwuuobbuobpbr. What is prob of sequence roo?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 5*d + 6. Let b(t) = -2*t**2 + 4*t - 5. Let c(u) = 4*b(u) + 3*i(u). Calculate c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35424 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/(-3)))\/(10569\/(-288886))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 63*u + 666. Let l be h(-8). Calculate the highest common divisor of l and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*p**3 - 256*p**3 - 199*p**3 + 710*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**8\/4032 + 2*m**5\/15 + 6*m**2. Let c(w) be the third derivative of a(w). Let v(k) = 2*k**2. Determine v(c(b)).\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 4, 2\/39, -0.9, 76?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 r when three letters picked without replacement from jojrooxooorroojorooo?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-14*s - 10*s - 26*s + (2 + 2 - 2)*(-4*s + 4*s + s)) + 32*s + 8*s - 7*s.\nAnswer: 81*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.03, 2, -19\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -280574 divided by 72?\nAnswer: -140287\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**3 - 516*q**2 - 639*q - 2642. Calculate n(75).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 9*k + 31. What is the tens digit of c(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 2159 = -59*d + 4150 + 361 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.16, -1\/5, -5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 358693*w + 6097777. What is h(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 167*j - 510. Let f be d(-3). Solve f = 10*r - 137 + 127 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 - (-20956)\/(-558)) + 4\/(-9).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*-7*-2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -0.1, 4, -1\/6, -120 in decreasing order.\nAnswer: 4, -0.1, -1\/6, -31, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 58 - 94 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4404866 = -4*l + 48*s - 47*s, -l - 4*s + 1101191 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 9*t + 2*t)*(0 + 1 + 4 + (1 + 1 + 0)*(-1 - 4 + 4))*(-2*t**2 + 2 - 2).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2 + 3 - 4)*(0*r + 0*r + r - 2*r + 13*r - r - 5*r - r + 5*r + (-4 + 2 + 3)*(2*r - r + r) + 3*r + 2*r - 3*r + 3*r - 5*r + 0*r).\nAnswer: -108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -540 - -262. Let i = 278.3 + z. Sort -4, i, -0.25.\nAnswer: -4, -0.25, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3184*n**4 - 2336*n**4 + 1197*n**4 + (2*n**2 - 2 + 2)*(n**2 + 0*n**2 - 2*n**2) in the form t*n + p + h*n**3 + a*n**4 + r*n**2 and give a.\nAnswer: -4325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**3 - 2*j**2 + 39*j + 10. Let p(a) = -6*a**3 + 2*a**2 - 40*a - 8. Give -5*p(f) - 4*v(f).\nAnswer: -2*f**3 - 2*f**2 + 44*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -566861.64 * 1\nAnswer: -566861.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 2, b: 1, l: 1}. Give prob of sequence occ.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6040)\/44696)\/(-10*1).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 12\/4 - 3\/(18\/(-4128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 4:16 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914420 by 12.\nAnswer: -159535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-0.0526.\nAnswer: -6.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6662 - 279803\/42. Let v(b) be the second derivative of 0 + c*b**7 + 31*b + 1\/12*b**4 - 1\/30*b**6 + 0*b**2 + 0*b**3 - 1\/20*b**5. Factor v(h).\nAnswer: h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28, -31, -0.3, 0.5, 13\/5, -3\/7?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178 and 1.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68642305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/259)\/((-12)\/(-63))*1\/(-36).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 9*l + 10. Let t be j(9). Suppose -s = -t + 2. Suppose 3*z - s*z + 5 = 0. Sort -5, z, -1.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, o: 3}. Give prob of picking 2 g.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:19 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432*l = -12565 - 13211 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 9:20 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1210983\/7 + 174077. Does p = 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -1\/5 (c) 0.4 (d) 137\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19877 and 10302721.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/((-5)\/(-3)))\/((-10)\/100). Calculate the highest common divisor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**3 - 11*u**2 + 23*u - 80. Let j be g(6). Calculate the highest common divisor of j and 3058.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-15 - -3 - -12 - -36)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746708477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 11*f**2 + 4*f - 7. Let a(j) = j**3 - 10*j**2 - 5*j + 8. Let b(l) = -3*a(l) - 2*g(l). Suppose -9*h = -31 + 85. Is 4 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 38849 = -n - 14*h, -2*n + 4*h = -77758. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 19*t**4 - 12*t**3 + 1760*t**2 - 5600*t - 18000 = 0?\nAnswer: -9, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -518688.8 + 29\nAnswer: -518659.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 + 3. Let b be p(-6). Let x be 2\/4 + (b - (-476)\/8). Let q = x + -16. What is the least common multiple of 11 and q?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7.14537.\nAnswer: 9.14537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - 4*u + 7. What is the tens digit of m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (3 + 1 + -2) - (7 - 34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2. Let h(m) be the third derivative of m**6\/720 - m**4\/4 - 20*m**2. Let x(r) be the second derivative of h(r). Determine l(x(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 + z**3)*(2 + z**2 - 2) + z**5 + 0*z**3 + 0*z**3 - 125*z + 123*z + 445*z**5 - 788*z**5.\nAnswer: -341*z**5 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 243020881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f + f**2 + (-2*f + 0*f + 0*f)*(-2 + 3 + 24*f - 32*f).\nAnswer: 17*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136762481?\nAnswer: 149, 917869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -1\/5, -45, -14\/5, 0.4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/21 - p**3\/2 + 2*p**2. Differentiate w(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - n - 617*n**2 + 613*n**2 + 2*n**3 - 4. What is y(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 4.5. Let z be (-52)\/10 - (-2)\/10. Let s = 8 + z. What is the third smallest value in s, v, -0.07?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -44 + q**2 - 48 + 12*q + 117. Determine y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165151.98 months to centuries.\nAnswer: 137.62665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.38043 + 0.01\nAnswer: -1.37043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + -2)**2 - sqrt(11)) + -1*sqrt(396).\nAnswer: -11*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 0*v**3 + 2*v**3 + 6*v - 2*v**2 - v**3 - 4. Let a = 6 - 3. Suppose 8*g = a*g + 20. Give b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*n - 105*n + 1303*n + (2*n + n - n)*(2 + 2 - 3).\nAnswer: 1299*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33982256 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -64*y**4\/5 + 639456*y**3\/5 - 1517865316*y**2\/5 - 79348336536*y - 4927246596020 = 0.\nAnswer: -485\/4, 5117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**7\/70 - u**5\/30 + 17*u**4\/12 + 2*u**2 + 125. What is the second derivative of b(v) wrt v?\nAnswer: -36*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let b(t) = 46*t**2 + 2*t + 3. Determine b(y) + 3*s(y).\nAnswer: 49*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2492 + 3013?\nAnswer: 54a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41\/163 + -9863\/978. Let r = 942842797\/22 + -42864377. Let x = -7884 - r. Find the common denominator of x and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9754908*q**2 - 34*q**4 + 4*q**3 - 3*q**3 - 4*q - 9754910*q**2 as o*q**2 + c + v*q**3 + w*q**4 + s*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 572?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-14)\/(-4)) - -14. Solve 4 = 2*q + o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 10}. What is prob of picking 2 l and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18744*i + 18728*i - 128 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4342 + -101?\nAnswer: -4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 117*a**2 - 16*a + 1872.\nAnswer: (a - 117)*(a - 4)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/613626 and -19\/3822.\nAnswer: 30067674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 - 4*n - 4. Let l(u) = 4 + 7 + u - 18 + u**2 + 8. Determine -4*l(p) - m(p).\nAnswer: p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4686 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758814803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19110159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4646*n*s - 22304*n + s wrt s?\nAnswer: 4646*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/(2\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*f + 8 = -15, -5*a = -f - 147. Let c = a - 27. Solve -2*z + c*d - 12 = 0, 3 - 1 = z + d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:44 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -7 - (-40 - 11) - 4) + 4 + 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*b + 2)*(48 - 48 + 7*b**2) + b**2 - b**2 + 2*b**3.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2852202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16479 or -19701?\nAnswer: -16479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -28. Let k be 90\/21 - (-4)\/y. Let z(h) = -h + 5. What is the units digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvnknnvhjn. Give prob of sequence kvhn.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77248, 154509, 231758, 308989, 386196, 463373?\n\"Answer: -n**3 + 77268*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -53, -5, -281, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -37. Let v be (1 - 0)\/(n\/34). Solve -v*k = -5*d + 12, -3*d + 3 + 1 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 200373*y.\nAnswer: -y*(y - 200373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*(-4)\/24*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -55*j**3 + 0*j + 57*j**3 - j**2 - 3*j + 4*j. Let p(l) = l**2 - l. Determine -p(o) - t(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*j + 10 = 8, 4*j = 0. Suppose -4 = -5*i + 6. Find l, given that l + l**m - 2 + 5*l**i - 5*l**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*s + 4*s**2 - 6*s**2 - 76 - 274*s as u + c*s + o*s**2 and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 187?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26622 in 4, -2\/15, -0.3, -3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -10.87 * 5\nAnswer: -54.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:54 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -14. Let v be (-4)\/w + (-7)\/(-3). Suppose -10 = -2*k, -5*u - 2*k = v*k - 15. Which is smaller: 1\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 17*m - 11. Is i(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.53401? (a) 4 (b) -568 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/6 - 5\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(700) + (-5*(0 + sqrt(700)))**2 - -1*(5 + (sqrt(700)*2 + sqrt(700))**2))*6.\nAnswer: 600*sqrt(7) + 142830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94.98 - -95. Let t = -39 + 44. Is j < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*d + 570*d = 8053892. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + s - 129*s**3 + 113*s**2 - 454*s**3.\nAnswer: -583*s**3 + 113*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -461\/207 - -18\/23. Let l = 2381\/2 - 1221. What is the common denominator of o and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2509*p + 1279*p + 1484*p as x + b*p and give b.\nAnswer: 5272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63166124?\nAnswer: 2, 7, 157, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*l = 54 - 101, -22*l - 547 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7 - 17*m - 16*m**2 - 3 + 11 + 7. Calculate the remainder when v(17) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 3 - -4 - -14) + (2 - (-15 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628 divided by 5?\nAnswer: 3628\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 272*c - 541*c + 270*c**4 + 226 + 279*c - 226 in the form x + i*c**4 + p*c + q*c**3 + g*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 - 0.07. Let c = 0.2 + h. Round c to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 9) to base 2.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 10*z**2 + z - 4. What is the least common multiple of r(10) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.5, 1, 0.1?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1118)\/3458 - (-2)\/(-19).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/7)\/4)\/((-12)\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 190\/(-4)*(-8)\/10. Suppose 3*s + p = 2*p + 14, 5*s - 18 = -p. Let m be 1170\/12 - 10\/s. Calculate the greatest common factor of v and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-42))**(-3\/35)\/((y\/(y\/y**(2\/17)))\/(((y\/((y\/y**(-4)*y)\/y))\/y)\/y*y))**(5\/14) assuming y is positive.\nAnswer: y**(-747\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 997672 or 997671?\nAnswer: 997671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4273*-1.4.\nAnswer: 5982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/343634 and -15\/58.\nAnswer: 9965386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.07 (c) 0 (d) -0.4 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2682, -2653, -2588, -2469, -2278, -1997, -1608?\n\"Answer: 3*x**3 + 8*x - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 + 14 = 0. What is the derivative of -6*y**4 - y - i + y wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34543223 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, s: 5, n: 3}. What is prob of picking 4 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 30121?\nAnswer: -30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*p - 12 = -5*c, -4*c = 2*p - 16. Solve -3*x + 16 = c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363802667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -19. Let y = a + 12.99999952. Round y to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10465 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-27)\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*d - 16, -2*d + 8 = -o - 0. Suppose 2*b = b - 2*m + 27, 3*m = o. Let a(f) = 27 - b - f. Let w(r) = 10*r**2. Calculate a(w(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4415 + -22069\/5. Factor -2\/5*h**3 + d*h**2 + 2 + 18\/5*h.\nAnswer: -2*(h - 5)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54075 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*((3 - 2 - 5)*(-2*r + 3*r + 6*r) + r + 0*r - 3*r - 2*r + 13*r + 0*r).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 - 604\/11*s - 606\/11*s**2.\nAnswer: -2*(s + 1)*(303*s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**0)\/r)\/(r*r**(-1\/5))*(r*r**(1\/3)*r)**(-24))**(-13) assuming r is positive.\nAnswer: r**(3692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 5*k**2 + 2*k**2)*(2*k**2 - k**2 - 3*k**2) + 0*k**4 + k**4 + k**4 + ((2 + 3*k - 2)*(k - k + k) + 0*k**2 + 2*k**2 - 3*k**2)*(5*k - k**2 - 5*k).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f - 11. Let t be c(5). Let s be 4082 - (1\/t - 45\/54). Suppose x - 4*x = -s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*s + 3*s. Suppose -u = 11*p - 9*p + 2, 5*u = p + 1. Put u, 1, -14, s in ascending order.\nAnswer: -14, s, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/437 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**3*y - 16*i**2*n - 53*i**2*y + 2*i*n*y - 34*i*n wrt i?\nAnswer: 30*i*y - 32*n - 106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -5, 52?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -16*r**3 + r**2 - r + 3. Let k(y) = 2*y**2 + 23*y + 18. Let t be k(-11). Let b(s) = -2*s + 12. Let o be b(t). What is the units digit of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 125 + 49 = 0. Let m(u) = 16840*u - 40. Let r be m(y). What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**2 - 1\/32*a**4 - 1\/80*a**5 + 0*a + 0 - 1\/480*a**6 - 1\/24*a**3. Solve c(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.027 - -0.027. Let z = h + 5.8. What is the nearest to -0.3 in -1, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 70\/3. What is the nearest to 0.03 in -0.3, -3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 13*g - 18. Calculate w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 72*j + 4655. Give z(-63).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5323 - -5322.9999980915. Round i to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1955*v - 1945*v = 2401970. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12375656 - 271?\nAnswer: 12375365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l - 4. Let k(o) = 3*o + 12. Let v be k(-6). Let q(s) = -11*s + 3. Let u(p) = v*d(p) - 5*q(p). Is u(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.898 + 1.09. Let q = 0.292 - g. Which is the closest to q? (a) 1.8 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 2. Let i(c) = 15*c - 3. Let f(k) = -2*i(k) - 5*r(k). Does 17 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utttuztuutuuztuutz. Give prob of sequence tut.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:14 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2 - 1 + z**2 + z - 4*z + 2 + 2*z. Let h(k) = 150*k**4 - 4*k**2 + 4*k + 62. Let o(b) = h(b) + 4*y(b). Find the first derivative of o(x) wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1602724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*x + 3*w + 44, -5*x - 120 = -5*w. Let i = -12 - x. What is the least common multiple of i and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 6*v**2 + 4*v - 5. Let g be y(-5). Let s = 206 + g. Suppose -2*d + 6 = 0, 3*q - 8*d + 6*d - s = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**5 + 10\/3*n**3 + 0 + 0*n + 2\/3*n**4 + 2*n**2.\nAnswer: -2*n**2*(n - 3)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107869 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2425 + 0.2425. Which is the closest to n? (a) -5 (b) 0 (c) 0.3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15)*160\/(-240)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -80*j**2 - 550*j - 1025. Let k(g) = 9*g**2 + 61*g + 114. Let o(m) = -4*d(m) - 35*k(m). Factor o(f).\nAnswer: 5*(f + 2)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 4718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668150 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*u = 2, 24*o = 22*o - u + 17. Solve 3*z = -3*g + o, -z - 4*g + 2 = -6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -2*p, 3*p - 5 = 8*p - 2*l. Let v be 0\/2*(p + 0). Solve v = -q + 5 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 13391599.\nAnswer: 66957995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14, 6, 1\/2, -3, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-20))\/(12\/388) and 52\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*y + 2759 = 928, 5*v + y = 4591. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57424 - -96064. Does 140 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1608259 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(6048)*-2*2)\/((2*sqrt(150)*-2 - sqrt(150)) + sqrt(150) + (sqrt(150) + sqrt(150)*-3)*-6).\nAnswer: 48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.013251692 and -0.4201.\nAnswer: -0.433351692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*v - 2*b + 9 = 252*v, -v - 4*b = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -39. Suppose -3*j - 9 + c = 0. Solve 0 = 4*i + 4, -3*k - 3*i + j + 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21\/(a*a**36*a))\/(a**(-2\/43)\/a*a*a*a**(1\/29)*a) assuming a is positive.\nAnswer: a**(-23678\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -6*i - 124. Which is smaller: 32 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27.71, -2, 4, 0.1?\nAnswer: -27.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -81. Sort v, 0, -3, -2 in ascending order.\nAnswer: -3, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1750125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -73 - (-3 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 94.\nAnswer: 67\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770255?\nAnswer: 5, 193, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468708720?\nAnswer: 2, 5, 2309, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -19. Let o = 667 + l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 963.0976 tonnes?\nAnswer: 963097600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 54*a**3 + 52839*a**2 + 28196071*a. Let b(o) = -11*o**3 - 10566*o**2 - 5639214*o. Let w(m) = 29*b(m) + 6*r(m). Let w(k) = 0. What is k?\nAnswer: -1062, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.7462563 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(468) + 1)**2.\nAnswer: 12*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*t - 13754 = -148*t + 1082*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514628 (base 9) in base 6?\nAnswer: -25533255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4*9)\/((-4)\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 475293161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + 21*g**2 + 22*g - 15. Determine n(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 22*k - 4. Let y(c) = c - 1. Let o(u) = x(u) - 4*y(u). Let l(z) = 8*z. Give o(l(m)).\nAnswer: 144*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2.08. Let i = 0.2288 + z. Round i to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -25 + 13. Suppose -3*q + a = -11. Solve -2*w - q*n + 14 = 0, -5*n + 16 = 5*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 134 = -13*k, -23 = -0*p - p + k - 7 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*-3*(0 + sqrt(208) + sqrt(208) + sqrt(208))**2 - sqrt(208)*-1*4*1).\nAnswer: -11227 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297298085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1926089 grams to micrograms.\nAnswer: 192608.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367679127137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*w + 9 = 0, j + j = -2*w + 6. Suppose 3*p - 3*x + j = 0, -5*p + 5 = -3*x - 0*x. Let n be (1 - 0)*(-2 - -1). Sort 1, n, -5, p in ascending order.\nAnswer: -5, n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 20 - 6 - 14 - 7*f + 8*f**3 + 27*f - 5. Let c(w) = -3*w**3 - 7*w + 2. What is -11*c(q) - 4*g(q)?\nAnswer: q**3 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 229 - 0?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let j = d + -0.2. Let u = -0.06 + -0.14. Which is the closest to -0.1? (a) u (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, j: 3, l: 1, v: 3, y: 1}. Give prob of sequence jl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2817, -2794, -2767, -2736, -2701, -2662?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2353)\/(-195) - 2\/30. Solve 4*z - 4*k = -21 + 5, 3*z - g = -5*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6418 (base 10) to base 7.\nAnswer: -24466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 8. Let t be b(1). Suppose 9*i + 17 = 80. Does t = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(-138) - (-2)\/156. Which is the closest to -0.1? (a) 0.2 (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*g - 160*g - h - 55, 22 = -2*g + 2*h for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116644 divided by 241?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 10. What is the tens digit of s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 44 + 12*o + 3*o - 15*o + o**3 - 2*o to g + l*o**2 + c*o**3 + q*o and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8346a (base 16) to base 8.\nAnswer: -2032152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/90 and -101\/245730.\nAnswer: 737190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let h(d) = 3*d + 8. Suppose i + 16 = 3*c, 10*i = -c + 5*i - 16. Let t(w) = c*p(w) + h(w). Let j(z) = -72*z. Calculate j(t(a)).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 569021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1086 times 432\nAnswer: -469152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4713 - 4674. Solve 63 = 17*j - o for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*a + 143922, 5*n = 4*a - 234730 - 53078. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -49*y - 56. Does 9 divide s(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -49, -86, -127, -166, -197?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50352875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575557209?\nAnswer: 3, 63950801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 18*a - 523. What is the remainder when d(31) is divided by -3*(-2)\/3 + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(1 - (-8 - -8)). What is the third biggest value in 6, g, 139?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16997, -33994, -50991, -67988, -84985?\nAnswer: -101982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 - 1095*i**2 + 79935*i - 1945085 = 0?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -99*z**3 + 5*z**2 + 3*z + 5. Let j(r) = -49*r**3 + 2*r**2 + r + 2. Calculate -2*i(d) + 5*j(d).\nAnswer: -47*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2333 + 3345. Suppose n = 8*p + 396. Calculate the smallest common multiple of p and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -24390?\nAnswer: -24393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -1\/52, -5, -0.1, -1 in descending order.\nAnswer: 1.9, -1\/52, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 49*d - 48*d - 31, 0 = -3*d - u + 16. Put d, -4, -92 in descending order.\nAnswer: d, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -3 + sqrt(1539) - sqrt(1539))**2 + (-1*sqrt(114)\/sqrt(6))**2 + 4.\nAnswer: -54*sqrt(19) + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 - 1101*a**2 + 105798*a + 556640 = 0. What is a?\nAnswer: -5, 112, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152501 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.931 times 4.7?\nAnswer: -577.7757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, o: 1, i: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 5. Let a be k(4). Let j be a + 0\/(-1 - 0). Find the first derivative of -q**4 + 2*q**4 - j + 0*q**4 wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 42 = n. Let t be 64\/28 - 4\/n. Suppose -i + 3*w - t*w = 6, -4*i - 3 = 3*w. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**6*r)*r*r)\/r**(1\/7))\/(r\/(r*r\/(r\/r**(-5)))*r\/(r**(-2\/5)*r)))\/((r*r**1*r*r*r)**(-2\/21)\/(r**(1\/3))**43) assuming r is positive.\nAnswer: r**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -1, -5, 5, 42, 186 in decreasing order.\nAnswer: 186, 42, 7, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9254 + -9252. Solve -2*m + 8 = l - 0, -3*m = -x*l - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {d: 1, r: 2, e: 2, n: 2, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12783081 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10 + (53\/(-30) - (-124)\/(-620)) - -4?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 - -93.4. What is x rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g**4 - g**4 - 3*g**4)*(5 - 4 - 3)*(-5 + 8 - 15) to the form k*g + o*g**3 + x*g**4 + w + h*g**2 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Let d(h) = -102*h + 184*h - 118*h. Calculate v(d(b)).\nAnswer: 108*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 70095.\nAnswer: -21028.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (0 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18248436 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 - 4*c + 5. Let l be v(3). Let b(g) = -g + 1. Let p be b(-6). Calculate the highest common factor of l and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -5, 5, -3\/101?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/5 - 67*z**4\/12 - 17*z**3\/6 + 152*z. Factor l(c).\nAnswer: c*(c - 17)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/23 + 3*3. Suppose 0 = k*u - u - 16. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -98\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) 6 (c) -4 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = -0*q. Let b be (6\/8)\/((-2)\/(-8)) + -5. Let d be 0*b\/4 + 110\/(-22). Is d greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20139 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*w + 28. Let i = w - -11. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*s = -12, -2*x = -5*x + 4*s - 4. Let f(d) = -d + 8 - 12 - 5. What is f(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvphowgp. Give prob of picking 1 g and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:53 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 3*q. Let l(i) = -2*i**2 + 3*i - 1. Let a(b) = -3*l(b) + 2*m(b). Calculate a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/(-56)*(-44)\/5. Let z = 574 + -398. Calculate the highest common divisor of z and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006572837 rounded to 5 dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327\/2 + -162. Let w(d) = 4*d**3 - d**2 - d. Let t be (-10)\/6 - (-6)\/9. Let q be w(t). What is the closest to -0.2 in q, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433097897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -565, -1216, -1945, -2752, -3637, -4600, -5641?\n\"Answer: -39*t**2 - 534*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 5, -19, -19322, -1 in increasing order.\nAnswer: -19322, -31, -19, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*b + 3148 = 1761*b - 998 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4045 = 2730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1c435f?\nAnswer: -1c4364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1.1 (b) 5790 (c) 2 (d) -2\/7 (e) -4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 18*a - 28. Suppose -4*h = 2*h - 24. Suppose -h*b = 6 - 54. List the prime factors of u(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 180\/13?\nAnswer: 180\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 601, 599, 597?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2798 + 1055 - 3398 - 437 - m.\nAnswer: -m - 5578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22649212997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 2*t)*(2 - 2*t - 2) - 3*t**2 + t**2 - t**2 + 1 - 1 - 2*t**2 - 4*t**2 + 26 - 26 - 6*t**2 + 3*t**2 + t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*j**2 + 0 + 7*j**2 + 2*j + 19*j**3 as w*j**2 + s*j**3 + x + q*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/13 (b) -39 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-10))\/z*z*z\/z**(-1\/9)*(z**(-1\/14)*z)**(7\/6) assuming z is positive.\nAnswer: z**(-245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**4\/b)*b**(-2))**18 assuming b is positive.\nAnswer: b**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by (666\/(-888))\/((-1)\/(-76)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 66 = 0. Let c be -18 + v + -3*1. Suppose -5*g + 38 = -562. Calculate the highest common divisor of c and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -5. Suppose 22*n = 117 - 51. Calculate the lowest common multiple of n and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*p + 1348*p - 101*p.\nAnswer: 588*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93795406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n**5 + 2*n**4 + n**3 - 4*n**2 + 2*n - 2. Let f(s) = s**5 - s**4 - s. Let p(z) = 2*f(z) + o(z). Find the third derivative of p(r) wrt r.\nAnswer: 1200*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i + 378 = 84*i. Let o = 3 - 1. Suppose -2*f + 17 = m + o*m, -5 = f. Solve 0*x + 3*w + i = -5*x, -x = 3*w + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6356 + -6359. Sort -8, i, -12, 0.6.\nAnswer: -12, -8, i, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54583 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 72\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -306 - -303. Let k(h) = 33*h**4 - 7*h**3 + 17*h**2. Let o(i) = -i**3. Let b(m) = c*k(m) + 21*o(m). Find the third derivative of b(n) wrt n.\nAnswer: -2376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6 + (-18198)\/(-1674) + -4 + -1).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 4*y + 35, 4*n + 2*y = 22. Calculate the remainder when 15 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 3*j**3 + 2*j**3)*(-3 + 5*j**2 + 3)*(0 - 20 - 8).\nAnswer: -280*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.324 + -16.32412213. What is i rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h**4*i + 3*h**4 - 2*h**3 - 32*h + 6*i wrt h.\nAnswer: -264*h**2*i + 36*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36727 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 17*i**2 + 13*i - 17. Let g be s(8). Solve -25*o = -g*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4\/7 - 80016*t**3\/7 - 397107856*t**2\/7 + 30527704320*t\/7 - 582230041600\/7 = 0.\nAnswer: -10040, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -u - 2, 4*u = -3*r - u - 10. Let s(y) = -y**3 + 4*y**2 + 5. Let x be s(4). Sort x, -3, r in decreasing order.\nAnswer: x, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7*n**(5\/8) assuming n is positive.\nAnswer: n**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let l be (0\/(-1))\/((-139)\/139). Which is the nearest to l? (a) o (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = 0. Is 11*(p + 0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06217 - 20634.\nAnswer: -20633.93783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22690.2 - -22690. Which is the nearest to l? (a) -4 (b) 2\/9 (c) -2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.08?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**5\/5 - 1429*w**4\/4 - 2899*w**3\/3 - 232. Find the third derivative of i(s) wrt s.\nAnswer: 48*s - 8574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 + 5*w**2 - 10203*w + 10203*w + 3*w**2. Let u(r) = -r**2. Determine u(q(p)).\nAnswer: -225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213 or 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2510940170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138089?\nAnswer: 7, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m. Let g be 116 + (3 - 2) - m. Suppose 120 = 3*o - g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**4\/7 - 5706*d**3\/7 - 9606*d**2 + 343386*d\/7 - 270432\/7 = 0. Calculate d.\nAnswer: -939, -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l + 20*l**2 - 457 + 197 + 263 in the form h + p*l**2 + w*l and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 320035596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.205\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 2, z: 1, l: 1, j: 2, v: 2}. Give prob of picking 1 y, 1 z, and 1 j.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 z when three letters picked without replacement from {t: 1, k: 1, g: 1, n: 3, m: 2, z: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-51) - 93609\/(-117878).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90, 86, 80, 72?\n\"Answer: -s**2 - s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let i be 9\/(-60)*(8\/(-3) + 2). What is the third biggest value in q, i, -0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 5, y: 2, f: 5}.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 + 36*d + 18. Determine u(11).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -6, 11, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16*12\/15)\/((-2)\/10). Let z = c - 45. Find v such that -2*v**4 - 4*v**4 - z*v**2 + 12*v**3 + 3*v**4 + 7*v**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -17.4. Let o = -65.39 + 66. Let n = o - i. What is n rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144296 - 92981. List the prime factors of i.\nAnswer: 3, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857784 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 - 30*u**4 - 300*u**3 + 2750*u**2 - 5625*u = 0.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 513*u**2 - 2628*u + 2112.\nAnswer: 3*(u - 4)*(u - 1)*(u + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47259234 is divided by 4535?\nAnswer: 4534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 73. Put 2, -1, x in ascending order.\nAnswer: x, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104346 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77180 by -454.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 22*j**2 - 8*j - 18. Let v be g(21). Suppose -5*c - 1175 = -5*r, r - v = 6*c - c. What is the greatest common divisor of r and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 27 (b) -3\/8 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:03 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -3*d + 0 - 1\/3*d**3 - d**2. What is the tens digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 11 = 9*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/9 + 28*h\/9 - 64\/9 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/88808 and 37\/58?\nAnswer: 2575432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 23*x**2 - 253*x + 279. What is g(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -j + 2*r, 5*j = 3*r - 0*r + 414. Calculate the remainder when 334 is divided by j.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*-38 - (3 + 5 - 14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 30. Let z(a) be the third derivative of 0*a**4 + 1\/60*a**5 + 1\/6*a**3 + y + 2*a**2 + 0*a. Find the first derivative of z(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y. Let g(x) = x**2 + 16*x - 12. Let d be g(-17). Suppose y*v + 60 = d*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678775 - 0.5.\nAnswer: -678775.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4907741, 4907739, 4907737, 4907735, 4907733?\n\"Answer: -2*n + 4907743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1587\/345)\/(9\/(-6)*(-6)\/(-45)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 - 3168*o + 31681. What is u(10)?\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 36, 81, 164, 297, 492, 761, 1116?\n\"Answer: 2*f**3 + f**2 + 2*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20819 = 151*l - 15232 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(1\/8)*x)\/x)**(-2\/21) assuming x is positive.\nAnswer: x**(-17\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (137\/3)\/(2\/30). Suppose 134 = 7*g - t. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.12372 + 0.12372. Which is the nearest to -19? (a) 1 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:20 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 11. Let w = i - 7. Let k = w - -8. Put -2\/11, -0.5, k in ascending order.\nAnswer: -0.5, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -645\/4 + 162. Let m = 140712 + -1547830\/11. Which is the closest to -1? (a) 1.1 (b) m (c) 6 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14639279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2921 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 25408.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/239 + 488\/1195. Suppose 0 = -3*q - q. Let b be (-1 - 0)*(q + -1). Sort b, p, -4\/5 in decreasing order.\nAnswer: b, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19\/(2394\/1706096) - 12\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/21 + 2768*d\/21 = 0.\nAnswer: 0, 1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20059 + 20064. Solve -13*q = -12*q + 2*k, -5*k = p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 75089825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.32 - -144. Let i = o - 5. Let v = i + 1.32. Sort -4, -1, -3, v in descending order.\nAnswer: v, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 58*h**2 - 6*h - 5. Calculate t(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-1*5\/15). Solve -a + 4*a + 4*u = -9, 5*a + t = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 16498?\nAnswer: 8249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21378 divided by -2\nAnswer: -10689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*v = -30*v - 10*v + 1471 + 3613 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(56)*5*3)\/((2*sqrt(70)*-2)\/((sqrt(10) - (sqrt(1210) + (sqrt(1210)*-2 - sqrt(1210)))) + sqrt(10))).\nAnswer: 3240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14305800*l**3*q**2 + 192*l**2*q - 2*l*q**2 - 7009*l*q wrt l.\nAnswer: 85834800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/3 + 31598*z**4\/3 + 221334*z**3 - 94792*z**2\/3 - 2055193*z\/3 - 442666 = 0?\nAnswer: -21, -1, 2, 31619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*b)*(-23 + 0 - 5).\nAnswer: -56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3766771 (base 9) to base 12.\nAnswer: -82b631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*s + 162 - 288 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3087 and -127?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/10*(0 - 1 - -1). Solve -4*n - n - 20 = j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 69 = -f + 2*g, -271 = 4*f - 3*g. Let p = f - -22. What is the units digit of (-591)\/p + 2\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -23\nAnswer: 22\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1132 - -1139. Solve -c*t - 3*t = -40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:15 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k**0\/k)\/k*k)**(-12)*k**(-1\/2)\/(k\/((k*k\/(k**(-20)\/k*k*k)*k)\/k)) assuming k is positive.\nAnswer: k**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/4 - (-611 - -604). Which is the fifth biggest value? (a) -27 (b) -1\/4 (c) j (d) -3\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -4)\/(-1 + 5\/4). Suppose -v + 3*p + 2 = -6*v, 7 = -2*v + 5*p. Sort 3, n, v, -2 in increasing order.\nAnswer: -2, v, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 39. Let m be r(19). Let i be m*1\/38*2*2. Are i and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 3*a**2 - 4. Let i(h) = h**3 - 2*h**2 - 4. Suppose 3*z + z + 16 = 0. Let q be (24 - 10) + 4 + (-8 - 7). Give q*d(c) + z*i(c).\nAnswer: 2*c**3 - c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816021 minus 53?\nAnswer: -53.816021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v - 1\/30*v**5 - 1\/3*v**3 + 12*v**2 - 1\/12*v**4 + 0 + 1\/120*v**6. Let m be y(3). Solve 1 = -a, 2*a - 3*a - m = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**5 + 8*x**2 - 8*x**2 - x**5 - 4*x**5 + 2*x**5 + (-4*x**3 + x**3 + 2*x**3)*(-10*x**2 + 62*x - 62*x).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 + 3*z - 2. Let u be l(8). Suppose -2*i - 10 = -u. Let n be 2 + -3 + i\/1 + -3220005. Round n to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 + 179*n**2 - n - 384?\nAnswer: 20*n**3 + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 20 = 46. Let v be 0\/(-5 - -7 - (2 + -1)). Let z be v\/(6*2\/6). Solve s - 3*w + 1 - t = z, 4*s - 8 = -w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*x = -2*r + 2643, -2118 = -4*r + 2*x. Calculate the highest common factor of 59 and r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 120485, 120521, 120581, 120665, 120773?\n\"Answer: 12*g**2 + 120473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*i + 53 - 209 = -505*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**3 + 2*y**2 + y + 1. Let p be m(-1). What is the remainder when 389 is divided by p\/2*(-3528)\/630?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10023332 (base 6) in base 14?\nAnswer: -75360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - 191\/(29032\/(-14136))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-4))\/g*g)\/g)\/(g\/g**(-5\/4)))\/(g*g\/(g**(-9)\/g)*g\/g**(-3)) assuming g is positive.\nAnswer: g**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvujvmy. What is prob of picking 2 v and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 493 + -3445\/7. Factor 0 + 0*b - a*b**3 + 2\/7*b**4 + 4\/7*b**2.\nAnswer: 2*b**2*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w - 6. Solve 0 = -2*a - 3 - w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - ((-37 - -13) + 16 + 29)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**3 + 2*c**2 + 6. Let p(t) = -1 + t**3 + 7469*t - 7469*t. Give 6*p(z) + x(z).\nAnswer: -5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 - -152. Is 34 a factor of (33 - 1)*(f - (-185)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 662400188 to the nearest integer?\nAnswer: 25737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1112122112001010?\nAnswer: -1112122112001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/63 and -101\/89352?\nAnswer: 625464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*x - 111 = -d, -498 = -4*d - 2*x. What is the remainder when d is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 1. Let k be i(-4). Let r(w) = 24*w**2 + 3*w - 1 - k*w - w**3 - 18*w**2. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99351.\nAnswer: 3, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzqzz. What is prob of picking 3 z and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 44*i + 272 + 328 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3618317?\nAnswer: 3618317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2 - 5 + 1 - b. Let v be o(-6). What is the third derivative of -6*i**3 + 0*i**3 + 9*i**3 + v*i**2 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35622)\/24*(3 + 847\/(-273)). Is v less than or equal to 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gov when three letters picked without replacement from {p: 1, n: 3, i: 3, o: 2, v: 2, g: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*g + 4*d - 4, 3*g = -4*d - 2. Determine m, given that 4\/11*m - 10\/11*m**g + 6\/11*m**3 + 0 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4 + 4*s**2 + 6*s**6 + s**4 + 2*s**2 wrt s.\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139120 is divided by 69540.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:28 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/8288742 and 87\/70.\nAnswer: 41443710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 2*a**5 + 2*a**2 - 2*a**2 - 10*a**5 + 24*a**5 + 13*a**5 + (-5*a**3 + a**3 + 2*a**3)*(-2*a**2 - 10*a**2 + 5*a**2).\nAnswer: 43*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451413.\nAnswer: 937, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -1.44 (c) -0.2 (d) -2 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0.46, 0.1 in increasing order.\nAnswer: -18, 0.1, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -609 (c) -6 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92092506 and 10?\nAnswer: 460462530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, i: 1, q: 7, g: 2}. What is prob of sequence qg?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -20. Suppose i = 2*w - n*i - 156, -2*w - i = -171. Suppose -3*c = -3*x + w, 2*x = 3*c + 14 + 47. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20184*a - 429 + 10090*a + 10091*a as s*a + y and give y.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(405) + ((sqrt(10) - sqrt(100)\/(sqrt(10)*2))\/sqrt(2))**2.\nAnswer: 5\/4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 - 33*d - 17. Let m(w) = 5*w**2 - 16*w - 7. Calculate 3*h(v) - 7*m(v).\nAnswer: -8*v**2 + 13*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + 3*a - 1. Let d be y(2). Let c = 1 - d. Solve c = 2*t - 0*t + 3*i - 17, -5*t = 2*i - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = g - 2*c, 61*g + 3*c - 31 = 65*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -125, -137, -155?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d - 40 = -23*d. Which is greater: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -202*n + 2. Let f be j(-3). Let c = f - -77. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1314703 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -168 in 1\/5, 109, 51?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32478337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 733 = 79*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.234 + -3.234. Let h = 0.5 - -3.5. Which is the third biggest value? (a) -3 (b) l (c) h (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:13 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 + -4 - -4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*b**3 + 531 - 531)*(0 - 26 - 10)*(-1 + 4 - 5) to the form r*b**2 + m*b**3 + s*b + q and give m.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*o + 249 + 284, 3*b - 5*o = 356. Let m = b + -38. Calculate the remainder when m is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 1. Let i(w) = 6*w**3 - w**2 + 6. Let u(r) = i(r) - 5*z(r). Let b be u(2). Solve -3*p - 5*f = 1, -b*p + 3*f + 25 = -2*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l + 2. Let x be i(3). Suppose 3*s - 4*k = 50, 4*k + 9 - 49 = -2*s. What is the highest common divisor of x and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Let k = -86 + 83. Sort n, 0.1, k in increasing order.\nAnswer: k, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**5 - 698930*u**4 + 11804483*u**2.\nAnswer: 360*u**2 - 16774320*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -7, -3 in decreasing order.\nAnswer: 1, 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34405*h + 47*h**3 - 34405*h + 36*h**3.\nAnswer: 83*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022956 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emdmdeddmexmex. What is prob of sequence mmx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 81.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19328 * 1.106\nAnswer: -21376.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 2 - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157593807?\nAnswer: 3, 7, 2501489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 21*j**2 + 142*j - 30. Let g be f(-7). Solve 0 = -3*d - 15, g = -4*c - 64*d + 67*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*o - 63 = 93*o. Suppose -4050 = -o*f + 4239. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, a: 1, x: 1}. What is prob of picking 1 x and 1 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 22170470\nAnswer: 1\/22170470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -151 + 46. Let y = 9 - 7. What is the remainder when o is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h - 192502 = -188218 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104312\/1455 < 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33550 - 3446?\nAnswer: 30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -6.657 (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**6\/24 - 13*q**5\/10 - 113*q**4\/16 - 43*q**3\/3 - 21*q**2\/2 - 3607. Solve i(p) = 0 for p.\nAnswer: -21, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 5*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 5, s: 3}. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 4050?\nAnswer: 11\/2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -10. Let j = 11 + x. Which is the nearest to j? (a) 3 (b) 0.5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -18*a + 31*a - 24. Solve a*n + 3 = 4*l, -4 = 3*l + 5*n - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (29*g - 16*g + 24*g)*(-28 - 25 - 16 - 3).\nAnswer: -2664*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -40*g**2 - 11*g - 7. Determine h(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 76.15, -16890 in ascending order.\nAnswer: -16890, -2\/7, 76.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 5*d + 122.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-13 - -10) - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - -82. Let n = x + -129. Calculate the remainder when 78 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16530\/1653*(-2)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n - 16. Let v be 3*(-48)\/9*(-120)\/160. What is g(v)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*y + 1926 - 4246 = 2672. Which is the smallest value? (a) y (b) 5\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6439 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -991 - -997. Let i be (-28)\/(-6) - (-3 + 2). Is i not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*s**4 + 55532*f*s**2 + 285212*f*s - s wrt s.\nAnswer: 24*f*s**2 + 111064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(525\/(-14) + 6). Suppose -4*c + 37725 = m*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 46 (b) 2 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.185 to 1 decimal place.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 + 3208*u**3 + 1141684*u**2 - 3208*u - 1141686 = 0.\nAnswer: -1071, -533, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/38980074 and 53\/24.\nAnswer: 155920296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -371, -0.04, -0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8771 and 1.\nAnswer: 8771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-9\/2)*r*r)*r**(2\/13)*(r**14\/r)\/(r**(13\/2)\/r*r*r))**(10\/11) assuming r is positive.\nAnswer: r**(1190\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.80159 - -12719023?\nAnswer: 12718834.19841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(21)\/sqrt(3)) + sqrt(45) + sqrt(180)\/sqrt(4)*-5)\/(4*(sqrt(576) + sqrt(576) + sqrt(576)*-1)).\nAnswer: -3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151\/597 - 14755\/145668. Let n be 4\/(-3)*351\/4758. Let g = n - k. Which is the third biggest value? (a) 0.06 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1010327\/94059 - 159\/1493. Let i = -5407 + 37773\/7. Let n = m + i. Sort 2, 1, n in descending order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = n - 477 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 - 1\/14*j**7 + 0*j**6 + 1\/5*j**5 + 0 - 32*j**2. What is the third derivative of u(t) wrt t?\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 42*f + 4. Let n be y(7). Suppose -2*h - n*t = 28, -5*h + 5*t - 28 = 102. Let x(a) = -a**3 - 21*a**2 + 22*a + 5. Determine x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2 + 0*f + 6*f + 7*f**2 + 0*f**3 - f**3. Let h be y(-5). What is the greatest common divisor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c = -91*c - 28 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (10 - (-13 + 54 + -30))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -43, 2 in decreasing order.\nAnswer: 2, -15, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2923595 centuries to millennia.\nAnswer: 0.02923595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1247844319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1036400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 4*d = -28*j - 3*d - 70, -j + 8 = -6*d - 13 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82971 and 0.3?\nAnswer: -24891.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64751.31 litres in millilitres?\nAnswer: 64751310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 536\/(-68) + 8 - (-1 - 140)\/(2142\/140).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169147\/8216 or 21?\nAnswer: 169147\/8216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1583, 1576, 1565, 1550, 1531?\n\"Answer: -2*c**2 - c + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12565 + 12563. Sort x, 3, 105 in decreasing order.\nAnswer: 105, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in 3, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-35) + 1)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, 5\/4, 21, -4, -1, 6.\nAnswer: -4, -10\/7, -1, 5\/4, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**9\/90720 - g**8\/30240 - g**7\/3780 - g**5\/12 - 6*g**2. Let f(r) be the third derivative of h(r). Factor f(v).\nAnswer: 2*v*(v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 5. Let t(x) = 2*x - 1. Let d be t(2). Suppose -v = -d*v. Let k be b(v). Solve k*o - 26 = -1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -7) + 28 + -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.096 (b) 1\/4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 214699621 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -23*s**5\/20 - s**3\/6 + 4*s. Suppose -5*l - 4 = 2*p - 3*p, -3*l = 3*p + 6. Is d(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*l - 2*l. Let q = l - 18. Let x be q - -34*34\/4. What is x rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217628 - 378675. Let a = x - -161038.2799. Let r = -0.0399 + a. Round r to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6 - -26)\/4)\/((-5)\/(-2)). Put 0, 6, l, 3 in increasing order.\nAnswer: 0, l, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -112 + -34 + 18\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(3 + 384\/(-42) - -6). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 15 = -16*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -21. Let d = 0.22 + -1.12. Let j = -1 - d. What is the closest to -2 in a, 3\/5, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190560, -190541, -190510, -190467, -190412, -190345?\nAnswer: -190266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = 5*r. Suppose -3*y - y = -m + r, -2*m = -4*y - 18. Solve -2*l - m = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*o = 4*o + 62, q + 4*o + 7 = 0. Suppose -q = -3*b + 2*b. Let x = -7 + b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*g**6 + 8*g**5 - 1668*g**2?\nAnswer: -9960*g**3 + 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553\/1251 - -1\/417. What is the third biggest value in -0.5, o, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 389. Let j(z) = -3*z**2. Give c(j(q)).\nAnswer: 18*q**2 - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + -172. Suppose 7*r - 46 = 4*o - 212, 112 = 3*o + r. Let m = o - z. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let s(t) = -t - 2. Let j(i) = -20*i - 21. Let m(o) = j(o) - 4*s(o). Let u(d) = -11*d - 9. Determine 5*m(g) - 7*u(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8148*k - 8137*k + 124 - 32 + 8.\nAnswer: 11*k + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(1872)*2 + sqrt(143)\/(sqrt(11)*-2*-5 - sqrt(11)) + 3.\nAnswer: -647*sqrt(13)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 2*x + 21 + 0*x.\nAnswer: x + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-980\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 8\/3. Let c(o) = -9*o**2 - 13*o - 9. Let k(d) = -22*d**2 - 32*d - 22. Let t(w) = -12*c(w) + 5*k(w). Let z be t(-2). Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + j + 41, 40 = 5*g + 5*j + 5. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (((-130)\/(-8))\/5)\/(2\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - ((-1 - 0) + -6)) + -7 + -8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/3 + 178*t**2\/3 - 8096*t\/3 + 15488\/3 = 0.\nAnswer: 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:40 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4348.792 centuries?\nAnswer: 43487.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031508 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 719422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551354 is divided by 507334?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 6. Determine o(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-13)\/(273\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 40 - 3 - 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 48*q**2 + 93*q - 55. Let d be f(46). Let b(j) = 8*j. Let w(y) = 15*y. Determine d*b(p) + 4*w(p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205*30\/(-350)*(-518)\/(-222).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:39 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*i = -6, -k + i - 4*i - 6 = 0. Suppose -4*r = 2*x - k - 1, -3*x + 4*r = -6. Is x less than -0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*g + 25 = 0, -10 = 5*m - 2*g - 35. Suppose -39*w + 17 = -34*w - 2*h, 0 = -4*w - m*h + 40. Let p = 5 - 1. Solve -w = -3*t + p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 12. Let u(r) be the second derivative of r**2\/2 - 3*r. Let g(f) = -p(f) - 4*u(f). Let w(o) = -68 - 82 - 8*o + 230 - 71. Give -7*g(k) + 6*w(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-4)\/((-8)\/(-3)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p + 5. Let f(a) = -20*a - 11. Let m(q) = -4*f(q) - 9*u(q). Let o(s) = -14*s - 16. Give -80*m(w) + 5*o(w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.3862t in kilograms?\nAnswer: 222386.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -2. Let k be 1*28\/(-24) + 5\/o. Is (4\/8 - k)*158\/3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let p(z) = -7*z**2 - 5. Suppose -w = -2*w - 5. Let i(c) = 1 - 11*c**2 + 5*c**2 - 5. Let v(r) = w*i(r) + 4*p(r). What is m(v(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15279 = 3*x, 5*y + 20370 = 4*x - 0*y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.7891957 months?\nAnswer: 0.00232432975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 70. Let l be a\/((-1)\/((-20)\/8)). Let o(m) = 56800*m**3 + 2*m**2 - 10*m. Let s be o(l). What is s rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-9)\/12 + 0). Suppose 5*q + 1 + 14 = 0. Let g be q - (-3)\/v*-3. Let o(l) = l**2 + l + 13. Calculate o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7103 is divided by 360.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25 = 5*c, -2*c + 2*q = 9 + 1. Let v(t) = t**3 - 6*t**2 + 5*t + 4. Let o be v(4). Let k = o - -4. Put k, 4, c in increasing order.\nAnswer: c, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 261087?\nAnswer: -261085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208 - -210. What is the nearest to -4 in 0.1, c, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 0, -14*g + 3*y = -17*g + 43536. Is g a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2391 - 1.24. Round c to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7236 and 4008?\nAnswer: 2416824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 355699268814?\nAnswer: -355699268803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/33)\/((-1)\/(-36)). Let n = 14 + m. Let v = n - -13. Solve 6*i - v*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*f - 88 + 13939 = -15*f. What is the remainder when f is divided by -2*(2 - 1) - -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 127*u**3 - 4*u**2 + 5*u. Suppose 3*g - 5*g = 10. Let q be m(g). What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5386 + 7385?\nAnswer: 12771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l**2 + 13980*l - 4885989. Let g(v) = 25*v**2 - 20970*v + 7328985. Let m(y) = 7*g(y) + 10*s(y). Factor m(z).\nAnswer: 5*(z - 699)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a - 13. Let q be f(-4). Let k = -19 - q. Suppose 4*y + k = 242. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-8 - (-4 - -2)) - -15) + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3449906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512302039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94654, 192758, 297772, 413152, 542354?\n\"Answer: 576*t**3 - t**2 + 94075*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/((-1)\/(-3)). Suppose 3*h + 4*u - b = 1, 3*h + 5*u - 5 = 0. Factor -2\/5*q**2 + h + 4\/5*q**3 + 0*q - 2\/5*q**4.\nAnswer: -2*q**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*z - 17 + 9 + 50, 3*z - n + 15 = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllwivvwwv. Give prob of sequence wl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 m when three letters picked without replacement from otomeqomqqmmqqqqcoo.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 257145 = 258498 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 562080670 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 1. Let z be (1\/(-2))\/(2\/(-4)). What are the prime factors of k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 1. Suppose 4*p = 3*j + 24, 0 = 4*p + j - 20 - 4. Let u be z(p). Let w = u - -12. What is the second biggest value in 4, -3, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/105 - 139*n**6\/120 + n**5\/10 - 11*n**4\/2 + 8*n**2 - 95. Find the third derivative of r(s) wrt s.\nAnswer: 48*s - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*f - 23, -8*b - 3*f - 2 = -7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -800?\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i - 3*n - 11, -2*n = 10. Let p be 8*-2273*(-137 - i). Suppose -p = 3*m + 17272424. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 664*u**2 + 1004*u + 12.\nAnswer: 4*(2*u + 3)*(83*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 12*r**2 + 13*r - 15. Let f be b(11). Suppose 4*y + f = -s, -2*s + 5*s = -2*y + 9. Solve -2*p - 3*o - 2*o = -1, o = 2*p + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 7*g - 5. Let p be h(-4). Let a = p + -42. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461 (base 10) in base 8?\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 165646*c**3 - 3*c + 165688*c**3 + 28*c - 9*c.\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6 - 26\/15. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15317*v. Let u(n) = -6536*n. Determine b(u(d)).\nAnswer: -100111912*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 1, o: 1, h: 1, t: 1}. What is prob of sequence hwut?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.15 - -7.15. Which is the nearest to -2\/3? (a) s (b) -1\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3456) - sqrt(3456)*2)*-1)\/((sqrt(1728) + -3*sqrt(1728) - sqrt(12)) + sqrt(12) + -5*(sqrt(12) + 3*sqrt(12))).\nAnswer: -9*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-2)\/(-16)). Let k = t - 0. Let w(y) = 2676 + 2681 - 3*y - y**2 - 5358. What is w(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109349530*b**2 + 130394858.\nAnswer: -218699060*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5070907?\nAnswer: 101, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24672 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2567)\/(-453)*(-3)\/(-1)*-1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q - 6. Let t be 5*((-48)\/10)\/3. Let v be h(t). Let n = -4 - v. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:42 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*336\/(-56)*(-2)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*h + 9 = 7*h. Let i = 3.967 - 0.067. Let j = 0.1 + i. Which is the smallest value? (a) h (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -90 - 14. Factor 24*p - 24 + 3*p**2 - 32 + 13*p**2 + j*p**2 - 22*p**2.\nAnswer: 2*(p - 2)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331*o - 4069*o + 5 - 5 + 114*o to j + a*o and give a.\nAnswer: -3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -116, -214, -346, -518, -736, -1006?\n\"Answer: -b**3 - 8*b**2 - 39*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + 1a4016?\nAnswer: 1a4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015262.6565 rounded to the nearest ten?\nAnswer: 1015260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + 5 + -6*1*sqrt(17)*-5)**2.\nAnswer: 720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17574 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44697681 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52864 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 + 121?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2674979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 198*z**2 - 6*z + 8. Let h(x) = 197*x**2 - 7*x + 10. Let o(l) = 4*h(l) - 5*u(l). Let y(q) = 2*q**2. Calculate o(y(n)).\nAnswer: -808*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2196*(3108\/126 - (12 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4 and 7\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.026529432 rounded to 2 dps?\nAnswer: -6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*t + 117, 5*c - 6*c + 5*t = 48. Does 17 divide (3240\/c)\/10*-42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011000110 + 1000?\nAnswer: -1001010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:20 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 260 = 221 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 + 0*j + 1 + 1\/24*j**4 + 1\/6*j**3. Let r(m) be the second derivative of c(m). Let q(l) = -3*l - 4. Give -q(h) - 4*r(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + 47. Suppose 3*a + 5*z - o = 113, -2 = -z. Is a equal to 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7*14\/(-196)*(-1 + 363) is divided by 6\/(-15)*(294\/(-3) - -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3441 - 2959. Which is bigger: -6399 or r?\nAnswer: -6399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6696.755km?\nAnswer: 6696755000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39356093*b**3*g - 862*b**3 - b**2 + 90 wrt g?\nAnswer: 39356093*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let z(p) = -3*p + 5. Let r be z(-3). Let j(s) = -r*s + 0*s - 3*s - 3*s. Determine j(x(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 d when four letters picked without replacement from sddssspddsdp.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1795?\nAnswer: 8\/1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3.615.\nAnswer: -1.8075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 - 4 = 0. Let k(n) = -n**3 - n - 1. Let c be k(d). Let z(o) = -13*o + 7. Let t(q) = 6*q - 3. Let i(f) = 5*t(f) + 2*z(f). Calculate i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/1120 + q**6\/96 - 3*q**5\/80 - 32*q**3\/3 - 19*q. Let a(x) be the second derivative of i(x). Factor a(k).\nAnswer: -3*k*(k - 3)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 25 = -4*b, 5*w = 5*b - 20. Solve 6 = s + w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 184 = -g - 3*g, 2*g - 2*f - 98 = 0. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g**3 + 7*g**2 + 6*g - 8. Let d be s(-2). What is the highest common divisor of 992 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(532\/1140)*((-42)\/9)\/7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/2 of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -125.2. Let y(u) = -u**3 + 8*u**2 - 9*u + 8. Let f be y(7). Which is the closest to -0.5? (a) f (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 89 - 109 = n + 2*n, 5*l - 65 = 14*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 2:37 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70\/12*((-1436)\/(-33746) - 86\/(-4606))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8907*r + 51. Let m be u(-3). Round m to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-20))\/7*64\/(-24))\/(60\/(-5400))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8920691.\nAnswer: 13, 443, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*z + 9 - 2*z**3 - 4*z - 3*z**4 - 3 in the form r*z**3 + k*z + u + o*z**4 + q*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 1 - 3*t + 3*t + (-3*t + 0*t + 4*t)*(-3*t**2 - 4*t**2 + 5*t**2) + t**3 - 3*t**3 + 3*t**3 - 3*t**3 + 2 - 2.\nAnswer: -6*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 2*h**7\/105 + 3*h**5\/20 + 3*h**2\/2 - 5*h. Let f(o) be the first derivative of n(o). Find the third derivative of f(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-6)\/3)\/(-1). Let h(n) = 4*n**2 + 3*n + 3. Calculate the remainder when h(v) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123044?\nAnswer: 2, 19, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3301.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c**2 - 442*c - 3. Let t be a(34). Sort 42, t, 8, -1 in decreasing order.\nAnswer: 42, 8, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111480 * -0.43.\nAnswer: 47936.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120023089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 2*o**3\/33 - 108*o**2\/11 + 5832*o\/11 - 198. Suppose d(f) = 0. What is f?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026011 to the power of 1\/2, to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (621\/(-828))\/(0 - ((-69226)\/34616 - -2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*v - 2525, 5*z + 256 - 873 = v. Which is greater: -633 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.21. Let g = -205\/66 - -36\/11. What is the closest to h in 4, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*x + 32, 2*v + 5*x - 12 = 16. Suppose v*b = -8 + 40. Suppose 0*m + m = s - b, 3*m + 18 = s. Is s >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -31. Suppose 5*r - 800 = -5*z, w*r - 6*r = -z - 620. Suppose 12*n + r = 16*n. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 306803*t**2 + 4*t + 25724982 wrt t.\nAnswer: 613606*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30321 (base 6) to base 11.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36894 divided by 2838\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 7*b + 5. Let x be y(-6). Let j be 680\/(-51)*((-2)\/4 + x). Solve 2*o = 6*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 102 = 8*b. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 a factor of 136209306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11508 and 5334.\nAnswer: 1461516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 10*u - 4. Let i(t) = t**2 - t. Let p(f) = -b(f) + 4*i(f). Suppose 4*q + 3*y - 34 = 0, 17*q - 14*q + y - 23 = 0. Give p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -891 and 27.\nAnswer: -24057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 125.216.\nAnswer: 126.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.122 + -0.121762. What is r rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*h**3 - 147*h**3 + 838*h**3 - 143*h**3 - 141*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 + 11*z - 6. Let h(u) = 6*u**2 - 10*u + 5. What is -3*b(x) - 4*h(x)?\nAnswer: -3*x**2 + 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {b: 1, u: 5, j: 1, i: 2, c: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 193271321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let l(b) = 26*b. What is l(f(t))?\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8448594 and -12569.\nAnswer: -12567.1551406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142738642 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 10*n - 3. Let b be v(5). Let q(p) be the second derivative of 2*p + 2\/3*p**3 + 3\/2*p**2 + 0. What is q(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 6*j**2 + 2. Let m(l) = -19*l**2 - 7196 + 5*l**3 + 14394 - 7191 + 7*l**3. Determine 7*f(t) - 2*m(t).\nAnswer: 4*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1, -42, -56?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 + 5654658?\nAnswer: 5654571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -3*j + 2*g, -5*j = -2*g - 23. Suppose 2*h + 8 - 54 = -5*q, j*q - h = 37. Suppose q*r = 4*r + 24. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9404956 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m - 22*m - 10*m**2 + 12*m**2 - 213*m.\nAnswer: 2*m**2 - 197*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/30 + 23*1\/(-55). What is the smallest value in 0.5, 279, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**10 assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/53 and -83\/318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2448)*2.\nAnswer: 5 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = 3*d, -5*r = -r + 3*d - 6. Let m be (2\/r*18)\/(0 + -1). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -2\/393, 2 in increasing order.\nAnswer: -9, -3, -2\/393, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -25*i**2\/2 + i + 2. Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1946847, 1946841, 1946833, 1946823, 1946811, 1946797?\nAnswer: 1946781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 502*p**2 - 56*p**3 + 0*p - 54*p**3 - 2 - 80*p**3 - 3*p + 188*p**3 as s*p**3 + q*p + y*p**2 + t and give y.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.5 (c) -4 (d) 0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108443507 is divided by 108443495?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*u - 4152 = -48*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-33)\/(-15) + -1. Let h(c) = -c**3 + 3*c**2 - 2*c - 1. Let m be h(2). Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (31 + -7) - -19) + 3 + 18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -87. What is the remainder when 138 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35604263 + -11?\nAnswer: -35604304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11495277.5 * 5.\nAnswer: -57476387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*r**4 - 24*r**4 - 26*r + 6*r**2 - 9*r**2 - 3*r**3 - 3*r - 14*r wrt r?\nAnswer: -1008*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238836 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)\/(t\/((t*t**(2\/57))\/t)))\/((t\/(t\/((t\/(t**(-25)\/t)*t)\/t*t*t)))\/(t\/t**(-1\/12))) assuming t is positive.\nAnswer: t**(-10747\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - 95. Suppose -267 = 3*n + 3*x, -5*n - 87 = -5*x + 348. Let m be 9\/(-6)*(2 - n\/(-6)). What is the greatest common factor of m and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 544 and 144?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 13. Let y(q) = 2*q - 6. Let p(a) = 4*k(a) + 9*y(a). Let z be p(-2). Let o(j) = 546*j - 22916. Let s be o(42). Solve -2*m = z*m - s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11053 is divided by 5510.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8319 - 38*n - n - 8319 as i + w*n and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.9349 + 63. Let h = -2.9349 - i. Which is the second biggest value? (a) 1.2 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 18*n = -70563. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 4 - 11\/2*j**2 + j**5 + 11\/12*j**4 + 0*j**3 + 11*j. Let g(b) = -4*b**3 - 2*b**2 + 2. Calculate -33*g(k) - 6*z(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1346304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 75 + 27. List the prime factors of k*(3 - 6 - (-2 + -2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyywyy. Give prob of picking 3 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5425.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -544959 divided by 181653\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - y**2 + y + 8. Let i(m) = m**2 + 2*m + 1. Let x be i(-1). Give j(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Let y = f + -6.86. Let x = -0.34 + y. Which is the third smallest value? (a) -3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 187. Suppose t = 5*i - 1375. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3575.58067 and 912.\nAnswer: -2663.58067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*c, -r + 10 = 3*c. Suppose 2*k - 4*k + r = 0. Is 51\/k + 3\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z - 53. Let c be h(-5). Find the second derivative of 4*f + 2*f**3 - 68*f**2 + 3*f + 53*f**c + 3 wrt f.\nAnswer: 12*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 16, r: 2}. Give prob of picking 2 u.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 14 = -10*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(1 + 9\/((-9)\/2)). Suppose -2*y + j = -8, s = -5*y + j + 3 + 17. Solve -b - y = 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i - 1156. What is h(31)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(1088) + -1)*1)**2 + -1)*-6.\nAnswer: -163344 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13623 + -13626. Sort -4, 1, v, -43 in descending order.\nAnswer: 1, v, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + l + 10, 24 = -0*p + 4*p - 4*l. Let t(w) be the second derivative of 9*w + 0*w**p + 0 - 1\/2*w**3. Let u(g) = -2*g. Give t(u(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103253.08838 - -103236.1. Let t = 17 + j. Round t to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 412127084 * 0.5.\nAnswer: 206063542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6776469 nanograms?\nAnswer: 0.0000000000006776469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let q(y) be the second derivative of 215*y**3\/6 - 5*y + 1. Calculate q(t(a)).\nAnswer: -215*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-400)\/35)\/(-20) + ((-22)\/84)\/(15\/2295).\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 3.23. Let t = y + 3. What is the biggest value in 0, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/3 + b**4\/24 - b**3\/6 - 3*b**2 + 8*b. Let d(l) = l**2 + 9*l + 9. Let y be d(-8). What is o(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -54581*q - 382050. Give n(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675 times 0.015?\nAnswer: 25.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*z**3 - 276*z**2 wrt z?\nAnswer: 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 6, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699 is divided by 109?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13720 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a factor of 19639347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1037 and 2623.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-eight fifths of a millisecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 + 0*k**4 - 2*k**4 + (0 + 2*k**2 + 0)*(-4*k + 4*k - k**2) + 3*k**4 + k**4 - 6*k**4 + (-32*k**2 + 8*k**4 + 32*k**2)*(1 - 2 - 1).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*o + o - 4*m, -5*o - 36 = -6931*m + 6932*m for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5\/(-9 + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502137.400055 - 502139. Let n = 1.55 + 0.05. Let c = p + n. Round c to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - -0.4. Which is the closest to 4? (a) -3 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-30)*(70\/75)\/7 - -1.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, r: 1}. What is prob of picking 1 z and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 5:04 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = 223026014 + 205423986. Round y to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 18*w**3\/7 - 6*w**2\/7 + 58*w\/7 - 36\/7.\nAnswer: 2*(w - 9)*(w - 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7 + 97*z + 6 + 0 + 0. Let d be y(-9). Round d to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*m - 7567*m = 844644 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 20b5c?\nAnswer: 20b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 4*o**2 + 4*o**2 + 10*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.2 (c) 0 (d) 0.6 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12946*m - 2. Let h(t) be the first derivative of -t**3\/3 - 7848. Calculate h(r(w)).\nAnswer: -167598916*w**2 - 51784*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*n = -115, o - 4*o - 2*n - 49 = 0. Let m = 1 + -8. Let l = m - o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112122 (base 3) to base 7.\nAnswer: 5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13553108*l**6 - l**3 - 37939229*l**2?\nAnswer: -1626372960*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9381*m = 9087*m - 4116 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -27*z**2\/2 + 5530. Let j(y) = -10*y - y + 5*y. What is l(j(h))?\nAnswer: 162*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29610167.\nAnswer: 83, 356749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 268032443 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77400 and 4221912.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:59 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-26))\/(i\/i**(-2\/19))*(i\/(i*i**(-41)*i))\/i**(6\/11) assuming i is positive.\nAnswer: i**(13658\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328456 is divided by 6011?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -316a6d?\nAnswer: 316a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24232 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -645\/8. Which is the second smallest value? (a) z (b) 2 (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-7 - (-25 + 86))) + -37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42245 divided by 8449?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w. Let o = w - -4. Solve o*u + y = -16, 2*y + 9 = -5*u - 2*y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*i + 9080, 4*y - 20*i + 18*i = -18166. Round y to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 15. Let y be f(-11). What is the lowest common multiple of (y + 0)*((-35)\/4 + 6) and (1\/(-2))\/((-2)\/20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 308 + -303. Suppose 3*i + h*w = 46, -i + 4*w + 5 = 1. What is the remainder when 138 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, z: 3, i: 4, g: 1, p: 4}. Give prob of picking 1 i and 1 z.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4002*o = 3691*o + 36698 for o.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -8.48 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 98. Let k(a) = -29*a - 4. Let c(p) = 109*p + 15. Let f(x) = 4*c(x) + 15*k(x). What is l(f(o))?\nAnswer: 4*o + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15336 = -3718*v - 155692 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 25*t**2 - 40*t + 20 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25357599 or -25357603?\nAnswer: -25357603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + 2.57. Let u = 6231 + -6236. What is the nearest to 1 in 2, u, -0.1, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2000)*-1)\/(3*sqrt(10)*1*-2)*-6)**2*3*6.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328044*h + 21860 wrt h?\nAnswer: 328044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 10*k**2 - 16*k - 96.\nAnswer: 2*(k - 3)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 24*q - 60. Let g(o) = 17*o - 55. Let z(h) = -3*g(h) + 2*s(h). Let r(v) = -8*v**2. What is z(r(d))?\nAnswer: 24*d**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 - 88214124*l**2 - 88214122*l = 0.\nAnswer: -44107061, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 21. What is the second biggest value in y, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207937.\nAnswer: 269, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 4*a - 4*a - 2*a. Let v(o) = 2574*o - 1274*o - 1295*o. Calculate v(x(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 20 = 3*w. Let r = 3 - 2. Suppose -2*d - 18 = -2*s, 2*s - r = -5*d + 3. What is the lowest common multiple of w and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, -3, -2\/25, -6.58?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379372, 7, 25.\nAnswer: 7, 25, 379372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102160 - -656?\nAnswer: 102826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 + 24926*z\/3 - 155326369\/3 = 0 for z.\nAnswer: 12463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a hour in milliseconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.3, 1, 3\/1076, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, 3\/7, 0.3, 3\/1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose -v*t = s - 69, -3*t - 3*s = 14 - 59. Suppose -4*r = -6*r + t. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 3*y - 30 = -24*y. Sort 1\/21, y, 0.3, 4, -2\/5.\nAnswer: -2\/5, 1\/21, 0.3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 12*p + 120. Suppose -3*j + 2 + 17 = 2*g, -3*j - 3*g + p = 0. Factor -7*x**3 + 5*x**2 + x**j - 81*x + 79*x + 3*x**2.\nAnswer: -2*x*(x - 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ukkkukkk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4447851 times 12?\nAnswer: -53374212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 12575 (b) -2\/159 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*w - 120, 0 = -4*y - 3*w + 84 + 74. Find the third derivative of 28*h**5 + 41*h**2 - 90*h**2 + y*h**2 wrt h.\nAnswer: 1680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 393924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 203 = -215 - 33 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267.068 - 269. Round h to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 1\/363 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 133\/(-114)*(-4)\/77. Let b be 3\/(-4)*66\/207. Let f = b + -6\/23. What is the third smallest value in z, f, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10737 and -0.097?\nAnswer: -1041.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2. Let w be k(0). Suppose -3*a + 20 = w*a. Solve -a*h - 6 = 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**6\/360 - 2*x**3\/3 - 1. Let q(d) be the third derivative of s(d). Let v(n) = 2*n. What is q(v(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2376 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 5*o - 2*i, 40 = -231*o + 229*o - 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v = 57*v + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94863006?\nAnswer: 2, 3, 7, 752881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 136932 = 136956. What is the closest to v in 0.5, 0.4, 0.241?\nAnswer: 0.241","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -711 - -716. What is the closest to -4\/3 in 4, -3, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/h**(-1\/15)*(h\/h**(1\/2)*h)**16 assuming h is positive.\nAnswer: h**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003078451 to seven decimal places.\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35148*u - 35163*u = -471240. Does 168 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 340, 194, -3, -2 in descending order.\nAnswer: 340, 194, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 1829*f - 102695. What is b(58)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61151?\nAnswer: 61151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288013*-0.0436.\nAnswer: -12557.3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(8\/12))\/((-10)\/120*-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3 - 158*b + 6 wrt b.\nAnswer: -6*b**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2364 and 10638?\nAnswer: 21276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 248, 2078, 7064, 16784, 32816, 56738?\n\"Answer: 263*s**3 - 11*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740 and 70855?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -103. Suppose 2*v - u = -h + 31, -v + 272 = 4*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose -2*a = -j*h + 74, -3*h + 5*a = a - 48. Suppose 1 = 4*v - 15. Solve v*w = -w + h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1624334*o*s**2 + 134*s**2 + 379*s + 2 wrt o?\nAnswer: -1624334*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lycll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**3 + 28*t**3 - 52*t**3 - 15*t**3.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*p = -2, -7*p = -2*p + 5. Solve 3*d - 4*w - 7 = u, d + 9 = 2*d + 2*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8288.856 + 8357. Let d = 69 - z. Let a = -0.9 + d. Round a to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3541100 times 6\nAnswer: -21246600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -50, -61, -74?\n\"Answer: -i**2 - 6*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -297013, -296996, -296981, -296968, -296957, -296948, -296941?\n\"Answer: -u**2 + 20*u - 297032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 91\/(-55)) + (-156)\/(-195)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1 - 2*k**2 - 21*k**3 + 8*k**3 + 8*k**3 + k**2 + 6*k**3. Let j(w) = -6*w**3 + 2*w**2 - 2. What is -5*j(p) - 10*n(p)?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12970 - 4124. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47773691 rounded to the nearest ten thousand?\nAnswer: 47770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 526*t**4 - 59*t**3 - 51438*t**2?\nAnswer: 12624*t - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.2653 kilograms to milligrams.\nAnswer: 540265300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 204 = -28*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -327994 and -328026 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 281265?\nAnswer: 562530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 100 = 5*s, -2*s + 100 = 3*s + 4*u. Let x = 23 - s. Suppose 2*g - x = v + 3, 0 = -g - 2*v + 8. Solve -2*o + 10 = -4*p, g*o - 7 - 13 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1374872115 - 1375032970.2891. Let b = 160998.3 + l. Let v = -143 + b. What is v rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 16*p**2 - 16*p + 22. Suppose -k = 38 - 53. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 130*v**2 - 128*v**2 - 4.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10. Suppose -59 = -d - x*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/7469428 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -3, 1, -7353, 4 in descending order.\nAnswer: 9, 4, 1, -3, -5, -7353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 6:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -147\/4. Sort -2\/5, x, -7.\nAnswer: -7, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/8 + 42*c**3 + 3969*c**2 - 10501974.\nAnswer: (c - 42)*(c + 126)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 563931 divided by 58?\nAnswer: 563931\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 656 * 0.041.\nAnswer: 26.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*z + 42*z = -52*z + 33048. Solve -8*o + 32*o = -z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25377 + -12332. List the prime factors of s.\nAnswer: 5, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12244*b**2 + 25945 wrt b.\nAnswer: 24488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -398 and -0.3.\nAnswer: 119.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + -2.1. Let d = 4.9 + 1.1. Put b, -4, d in descending order.\nAnswer: d, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 37*b**2\/2 - 72*b - 39. Is 3 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230255 divided by 4?\nAnswer: 2230255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - -2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:23 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910 = -965*g - 2198 - 7397 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28027587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*j = 0, k + 2*j + j = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 322.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-9)\/18). Let n = 2 - g. Let w(f) = 3*f**2 + 6 - f**2 - 3 - f**n + 4*f. Let u(v) = -3*v**3 + 7*v**2 + 13*v + 10. Determine 2*u(s) - 7*w(s).\nAnswer: s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -58566, 3, -1 in increasing order.\nAnswer: -58566, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*r - 3913 + 6706 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/5 in 0.2, -2, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00512373 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:13 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 4*t**3 + ((18*t - 9*t + 4*t)*(-t - 2*t + 4*t) + 8*t**2 + 9*t - 9*t)*(-3 + 3 + t) to the form d*t**3 + q*t**2 + x + k*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 3*c - 3. Let t(v) = 2*v**2 - v - 1. Let g(k) = -2*o(k) + 6*t(k). Let q(p) = -4*p. Give g(q(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-2)*((-552)\/(-54))\/(-46)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 29*y**2 - y + 45. Determine f(-29).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/9)*u**4*u assuming u is positive.\nAnswer: u**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -369.7 and 1.5.\nAnswer: -554.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 + 217. Suppose -o*t + 48*t = -735. Is t a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -19 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*t + 5108, 4 = -0*f - f. Suppose 5*v = -20, -3*v = -3*p - 6*v + t. What are the prime factors of (-6)\/(-10) + p\/40?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121200 + -10102102101?\nAnswer: -10022210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 60518, 5\/7, -2\/21, 25\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 6 + 4*x**3 - 5*x**3 - x**3 - x in the form g*x**3 + q + w*x + i*x**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 7. Let y be z(3). Let j(d) = 4*d**2 - 7*d + 3. Let f be j(y). Suppose -3*k - k = -f. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Solve -261*t - 8 = -259*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*35\/(-21)*(-1)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -1, -13, 0.1, 13\/12?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*h = -207, -5*a + h = -3*a + 136. Let x = a - 53. Is (8\/(-20))\/(4\/x) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 10*v + 2. Let z(k) be the third derivative of -7*k**5\/60 + 19*k**4\/24 + 2*k**3\/3 + 245*k**2. Calculate -5*f(s) + 3*z(s).\nAnswer: -s**2 + 7*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.1 - -20. Let x = -7 + 7.5. What is the second biggest value in v, x, -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/30 and -67\/230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - (-1 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7466?\nAnswer: 5\/7466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from zzllzlzzvzuzzzzvvvul.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-16*12\/(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 2)*3\/6. What is the units digit of (c\/(-3))\/((-20)\/630)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7129, 14216, 21303?\nAnswer: 28390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.9 + 67. Let g = y + 9. Let n = -0.01 + 0.31. What is the nearest to n in 0.4, g, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 9}. What is prob of sequence zz?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 195 = 3*h + 2*b, -15 = 3*b. Calculate the remainder when 241 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 32*y + 3. What is the tens digit of g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 342 - 137. Let l = v - -5. Suppose 0 = 3*h - h - l. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -16) + (-1 - 2 - (0 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c54 (base 16) in base 4?\nAnswer: 1301110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1670.6 + 1670.6. Which is the closest to 29? (a) -2\/15 (b) -1\/9 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 576*x - 11936. Give m(19).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07487 to 3 dps.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - z**3 - 4*z**2 - z**2 + 5 - 8. Let d be j(-4). Let c(a) = -a**2 - 5*a - 6. Let t be c(d). Solve t = 5*o + 15, 0*l = -4*l + 5*o + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10602 and 2945.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 522 = 17*d, 4352*d + 4*n = 4355*d + 102 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-16)\/12*15. Suppose 9*f - 666 = -567. What is the greatest common divisor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/11)\/y))**(-1\/21)\/((y*y\/y**(3\/11))\/y*y)**(-11) assuming y is positive.\nAnswer: y**(1455\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1271 + 24155\/19. Which is the nearest to -0.04? (a) 3 (b) q (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 + 121036*p + 726360 = 0. Calculate p.\nAnswer: -6, 30265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6813272906.\nAnswer: 2, 11, 14173, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-11 - 0 - 17 - -5)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27630 and 4533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4794, 4796, 4798, 4800, 4802?\nAnswer: 4804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/97 and 115\/5172252.\nAnswer: 501708444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1639 + -1343. What is the highest common divisor of g and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 + 516?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.8 + -28.3. Which is the biggest value? (a) -0.4 (b) f (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a2 - -11a81?\nAnswer: 109ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 - 3*u - 5. Let t be i(7). Let s = -32 + t. Let g be s\/3*2\/(-21). What is the second biggest value in 0.4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from abvdi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166281806 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - -0.4. Let r = 218.25 - 222. Let c = r - s. Round c to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*y**3\/4 - 533879*y**2\/8 - 113723*y\/8 + 6963\/4 = 0. What is y?\nAnswer: -2321, -3\/10, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/76799250 and -29\/8250?\nAnswer: 76799250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/23)*(i\/i**(1\/4))\/i)**(-8\/13) assuming i is positive.\nAnswer: i**(-154\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2665177522 rounded to the nearest 100000?\nAnswer: -2665200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 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: Find the common denominator of -1\/30016 and 23\/6.\nAnswer: 90048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 1.5. Let d be (24\/(-20))\/3*(-6)\/12. Let l(m) = 5*m**2 - 1. Let q be l(1). Which is the third biggest value? (a) d (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.93 + 37. Put 2\/13, z, 1\/5 in decreasing order.\nAnswer: 1\/5, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z - 5. Let d(g) = g + 1. Let p(n) = 6*d(n) + t(n). Let r be p(7). Let c(i) = i**2 - 7*i + 5. Let m be c(5). Sort 0, m, r in decreasing order.\nAnswer: 0, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42691850\/493 - 86596. Calculate the common denominator of 105\/58 and x.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5207721 + -5584.9077721. Let w = r - -5607.4. Let m = w + -23. What is m rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -502?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*d**2 + 0 + 1 + 1 in the form q*d**2 + o + i*d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -20, -11, 14, 61, 136, 245, 394?\n\"Answer: o**3 - o**2 - 5*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*k**3\/11 - 3870*k**2\/11 + 47250*k\/11 + 18750\/11.\nAnswer: 6*(k - 25)**2*(13*k + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724.17 tonnes to micrograms.\nAnswer: 724170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let o be (1812\/(-120) - -16)*(-5)\/6. Which is the nearest to -1? (a) o (b) m (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104221963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i + 43*i + 175*i - 81*i - 13 + 14.\nAnswer: 58*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4805129 and 16191?\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*z + 78, 2*s - 164 = 8*z - 12*z. What is the highest common divisor of 387 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -211, -437, -665, -895?\n\"Answer: -z**2 - 223*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19731*l*y**3 + l*y**2 - 2*l*y - 1935*l - 11 wrt y.\nAnswer: 59193*l*y**2 + 2*l*y - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3.56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*k + 14, 6*o + 3*k + 2 = 4*o. Solve -q = o*n + 10, n - 3*n - 6 = -q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16105976237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 - 6*d**2)*(2*d - 4*d + 3*d - 1).\nAnswer: -5*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/5 + 304*z\/5 + 11552\/5 = 0. What is z?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2346.16 and 207.\nAnswer: 485655.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3, 0, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20672 = -551*q + 138*q - 131*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149\/7 - 21. Which is the closest to -6? (a) -3 (b) q (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744176275.\nAnswer: 5, 1889, 100459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 21. Suppose y*k = 5*k + 11. Let f = 13 - k. Solve 5*w = 3*p - 27, 5*p - 7 = -5*w - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12268, -4, -16 in increasing order.\nAnswer: -12268, -16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 7. Suppose 0 = 3*x - t + 15, -x - 6*t + 7*t = 3. Is o(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320164 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -2*w - 5\/6*w**3 + 1\/2*w**2 + 0. Let h be (-14)\/(-10) + (-4)\/10. What is r(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 6*f - 7*f - 9*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 585*c**2 - 11*c + 12 wrt c?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9892.976 millilitres?\nAnswer: 9.892976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72982 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-26) - (-228)\/39. Let y be -1 + (-26)\/a*-3. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -438422, 1, -58.\nAnswer: -438422, -58, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.164 + 0. Let w = -0.164081 + h. Round w to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 2, 34 in decreasing order.\nAnswer: 34, 2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:28 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 22*y + p + 1699 = 0, 3*y - 4*p = 5096. Is y a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-103)\/(-2) + 3 + (-4)\/(-8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*f**5 + 3*f - 19.\nAnswer: -620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1856 and 309082?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -493, -495, -497?\n\"Answer: -2*o - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b80797 + 0?\nAnswer: 4b80797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 4, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 0*n = -600. What is the remainder when n is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020211020 + 11202?\nAnswer: -1020122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1824 times 5\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b - 7. Let k be s(5). Let r(a) = -k*a + a - 2*a. Let d(f) = -2*f. Determine r(d(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 177932 + 247?\nAnswer: 178079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 4, x: 8, k: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-57)\/(-5) + 1386\/(-126). Let d = -498\/5 + 100. Suppose 0 - d*g + w*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7554 divided by -1259.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180.458646 rounded to the nearest 10?\nAnswer: -2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + (5 - (39 + -41 - 100))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.089 + 0.632. Round h to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 319684*m\/5 + 17292096.\nAnswer: -2*(m - 270)*(m + 160112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 51*z + 49. Let w be b(-1). Solve -4*y + w = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 30 = -45. Suppose -j = -10 - 0. Let d = 0 + j. What is the greatest common divisor of n and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and ((-10)\/6)\/((-165)\/594)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 times 173700?\nAnswer: 11637.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 567 + 962 - 529.\nAnswer: z - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1000111111001011111?\nAnswer: 1000111111001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**7\/70 + y**6\/40 - y**5\/20 - y**4\/8 - 7*y**2. Determine q, given that g(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(978 - 50*w - 978).\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**5*b))*b*b\/b**(-1\/2))\/((b**(-3)*b)\/b*b**(-3)))\/(b*b**(-2\/5)*b*b**(-5)*(b\/(b*b*b\/(b\/b**(-2\/13)*b)))\/(b\/(b\/(b**1\/b)))) assuming b is positive.\nAnswer: b**(2307\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.3, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.066.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25938 + 2a3?\nAnswer: 2601b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 7:26 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -517 + 516.99651. What is h rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/8)*q**(2\/5)\/q*q)\/(q**(-1)\/q**(-2)))**(-46) assuming q is positive.\nAnswer: q**(897\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let p be o(-1). Is 4 a factor of (5\/2 - p)*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/11 + 470*o**4\/11 + 27374*o**3\/11 - 28318*o**2\/11 - 27376*o\/11 + 27848\/11 = 0.\nAnswer: -118, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 991 = -66. Let v = -74 + u. Suppose -x + 5*d = -43, 3*d - 2*d = -5*x + v. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-18)\/(-9)) + (-1)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 126. Let y be (2 - 4)*(-8)\/2. What is the remainder when h\/y - (-2)\/8 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 40*t**2 - 60*t - 54. Is r(32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7792491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/(-2756) - 995\/520)\/(9*(-2)\/8)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 50570 = -0*v + 17785. Is v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91404575 rounded to 2 decimal places?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 105 = -3*l, 3*z - 81 = 3*l. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2175758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63612\/(-18))\/(-19) + (-4)\/(-2). Solve -148*l + 80 = -g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) -1\/4 (b) 0.6 (c) -1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4123 + 2245*p + 4123 to x*p + n and give x.\nAnswer: 2245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -79. Let z = 32 - m. What is the biggest value in -1\/4, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -131*n - 33. Calculate the remainder when d(-4) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (623*i - 1920 + 1920)*(-118*i**3 + 17*i**4 + 118*i**3).\nAnswer: 10591*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3 (b) -1\/6 (c) 11859 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**0)\/j*j)\/j)**(-3\/2)*j**(-4)\/j*j\/j**(-8\/3) assuming j is positive.\nAnswer: j**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219144953?\nAnswer: 281, 863, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37465632?\nAnswer: 2, 3, 103, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -425, -1529, -3647, -7109, -12245, -19385?\n\"Answer: -55*u**3 - 12*u**2 + u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5*i + 4. Let j be t(5). Suppose -39 = -5*p - j*y, 3*y - 32 = -3*p - p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/6*-1*463590\/(-24038).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42962*n**3 - 42959*n**3 + 26*n - 53*n + 27*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 24 = 0. Suppose -q = 6*q + 945. Let k = -99 - q. What is the greatest common divisor of d and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/5 + 486*o\/5 - 19683\/5 = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 413 - -5614?\nAnswer: 5a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 1647. Let s(c) = 12*c**2. What is i(s(w))?\nAnswer: 144*w**4 - 1647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1627510 (base 8) to base 9.\nAnswer: 786803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9162 + 11*i**2 - 9162.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -560 bigger than -555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -13 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5520?\nAnswer: -1\/2760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by 21.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 47 = 4*z, 2*z + 10 = 0. Let t = -5 - 4. Let x = k + t. Solve 5*g - 3*j - 5 = -x*j, -2*j - 2 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181376, 725462, 1632264, 2901782?\nAnswer: 4534016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522027 a multiple of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*w**2 + 89*w**2 + 86*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1288*g - 3902. Let f(l) = 6444*l + 19518. Let m(q) = 3*f(q) + 14*y(q). What is the first derivative of m(n) wrt n?\nAnswer: 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:05 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -46. Let o be -8 + 8 + g\/1. Solve 4*q + 15 = -r, o*r + r - 3*q - 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 10*h + 7*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 9*n - 8. Let a = -32 - -19. Let k = a + 18. What is the fourth biggest value in n, 3, k, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9933.327l?\nAnswer: 9933327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1, 3\/4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4103*0.3.\nAnswer: -1230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 16. Let g = k + 13. Solve -2*b + g*p = -6, -p - 25 = 5*b + 2*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 2\/229, 2191, 0.2, 2\/15 in decreasing order.\nAnswer: 2191, 13, 4, 0.2, 2\/15, 2\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384721 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447360811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*z**3 + 1119*z**2 + 973*z**3 - 1119*z**2 - 2738*z**3 + 870*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 65\/64?\nAnswer: 65\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esfefct. Give prob of picking 1 e and 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 6 + 29 + -26 + 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/720 + k**5\/30 - 7*k**4\/24 - 14*k**2. Let h(q) be the second derivative of x(q). What is h(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Let u(d) = 3*d - 6 + w + 2*d - 3. Calculate the remainder when 47 is divided by u(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 4*q = 17*v - 831, -5*v = 2*q - 4133. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - 6*q + 37. Does 25 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 153842?\nAnswer: 1\/153842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 223, -5, 29, -35, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 0.34. Let q(p) = -p**2 - 8*p - 9. Let c be q(-6). Suppose -4*o = -2*r - 8, 3 = -6*o + 3*o - c*r. What is the closest to o in -3, t, -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -14. Suppose 2 = -o*j + 10. Solve -3*u + j = -2*v, -3*v - 2*u + 3 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:38 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/6*(-1 + -1). Let l = -8905 - -8901. Sort -3, 2, c, l in decreasing order.\nAnswer: 2, -3, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/120 + 11*y**4\/12 - 403*y**3\/12 + 961*y**2\/3 - 450*y. Suppose z(h) = 0. What is h?\nAnswer: 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014822 rounded to five decimal places?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let f(v) = -206*v - 36*v**2 + 206*v. Calculate y(f(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 767644849 to the power of 1\/2, to the nearest integer?\nAnswer: 27706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 - t + 1. Let b(q) = -5 + q - 44239*q**3 - 5*q**2 + 22117*q**3 + 22118*q**3. Determine -b(w) - 5*v(w).\nAnswer: 9*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from tttetteteet.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-29*t**2 + 13*t**2 + 0*t**2) + 0*t + 2*t**2 + 0*t + 9*t**2 + 7*t**2 - t - 34 + 35.\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -295, -592, -889, -1186, -1483?\n\"Answer: -297*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-171)\/(-6))\/((-27)\/(-7)) and 19\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 8*z, z = 538840*u - 538839*u + 12 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1484*h**2*k**2 + h**2*k + h**2 + 231*h*k**2 + 51285413*h*k + 15*k**2 wrt k.\nAnswer: 2968*h**2 + 462*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d + 1576 - 841 = -1776 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 4*t. Let s be u(3). Let w = -1 - -1. Solve r + s*r + 12 = w, -r = 5*l - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.06 (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t + 2*o, t = 3*o - 123 + 149. Which is the second smallest value? (a) t (b) 3.6 (c) 14\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/((-67)\/((-2077)\/124))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4502 - -2748. Does 44 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l - 18 + 643*l**2 - 643*l**2 + 6*l**3 + 30*l.\nAnswer: 6*l**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 3, u: 3, t: 2, j: 1, i: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let u(z) = g*z**2 - z**2 + 5*z + 4*z**2 - 4*z**2 + 9. List the prime factors of u(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 929652 and 168.\nAnswer: 13015128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by -57.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 22120021002?\nAnswer: -22120021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2 + 643436*p + 2573728 = 0.\nAnswer: -643432, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let p be 6\/9*2597\/(-10). Let g = p - -173. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119960 at most as big as -119959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i + 4. Let v be p(0). Suppose v*o = 9*o - 15. Suppose o*w - 113 = -2*g, 4*g - g - 137 = 2*w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3541919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9155 is divided by 1400?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*o + 31*d - 28*d, -4*o + 57 = 9*d. Solve 4*b + 18*a - o*a = -9, -4*a = -2*b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 1, f: 1, n: 2, e: 1, h: 2}. What is prob of sequence fpn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*d = -118*d. Suppose d = 19*k + 4*k - 138. Solve 14 = -13*g + k*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 42606*h - 255705. Let p be u(-6). Let 2\/9*y**p - 2\/9*y + 8\/9*y**2 - 8\/9 = 0. What is y?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and -55\/35981262?\nAnswer: 35981262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-39 - -43) + (38 - ((5 - 3) + 3)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207\/35 - -1647\/140. Let r = -9083\/4 - -2257. Calculate the common denominator of r and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*47*54\/7614.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000275958821 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766715 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-280) + (-2)\/8. Let s = 17 + -25. Let g = -11 - s. Which is the biggest value? (a) u (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 - (-14 - (8 - 7)) - 17 - -23\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1468.829ml?\nAnswer: 1.468829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 2, p: 2, z: 2, d: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 35219358.1 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4 - 96. Let h = c - 13. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**3 + i**2 + 6*i - 5. Let p be g(2). Let u(j) = 7*j - 3. Let o be u(2). Calculate the highest common divisor of p and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - (sqrt(832)*1 + -4) - (5 + (sqrt(832) + 1 + sqrt(832))**2 + sqrt(832)).\nAnswer: -3330 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10500 and 7000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 22023222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 215\/33, -0.9.\nAnswer: -0.9, 215\/33, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**5 - 5*s**5 + 2*s**5)*(-1 + 0 + 2) + s**5 - 10*s**5 - 7*s**5.\nAnswer: -15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10694 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((6\/(-3))\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 5*j - 10. Let f be q(-7). Let y be (-2)\/(-4)*(f - 2). Let k(d) = 2*d. List the prime factors of k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23\/7, -6, -2\/7, 3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 9*a**2 - 4*a - 17. Let u be j(-9). Suppose -20*g = -u*g - 186. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6 = 7*s - 6*s, -3*s + 14 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*-1*sqrt(65))\/sqrt(5))**2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -15*t**4\/4 - 2*t**3\/3 + t**2\/2 + 2*t - 28. Let q be h(2). What is the units digit of 4\/((-10)\/5)*q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1036 and -0.2.\nAnswer: 207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3007 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1377.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:03 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*t*w**2*x**2 - 8*t*w**2*x - 975*t*w*x**2 + t*w wrt w.\nAnswer: -194*t*x**2 - 16*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 12, 14, 16, 18, 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3583\/396 + 152\/99. What is the common denominator of s and 135\/(-100) - (-5)\/((-15)\/6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 and ((-202)\/36)\/(3\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + v + 2*v + (4 - 5 - 1)*(-3 + 3 - v) + 3*v + 2*v - 3*v)*(-1125 + 660 + 563) to j + n*v and give n.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.328 - 0.128. Which is smaller: o or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212020212 (base 3) to base 9\nAnswer: 25225","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 6*i**2 + i - 15. Suppose 0 = 4*x - 5*g - 3, g = -3*x - 0*g + 26. Let r be s(x). Let u be (-6798)\/44*r\/3. Round u to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -24\/17, -139, 1\/24, 2?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11691 (b) 23 (c) -4 (d) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25988 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:48 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1\/16*w**4 + 0*w + 3\/8*w**2 - 16 + 1\/3*w**3. Factor n(k).\nAnswer: k*(k + 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3234 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 7*s**3 - s**3 + 2*s**3 - 35*s**3 + 35*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*1)\/(sqrt(15)\/(sqrt(15)\/sqrt(5)) + sqrt(5)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 405829\/24 or 16911?\nAnswer: 405829\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2183 - -30621\/14. Find the common denominator of -57\/128 and g.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 533900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 9. Let q be (-3)\/r*(-134)\/(-2). Do q and 67 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12580?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*d + 84, 5*f - 5*d = -0*f + 115. Let u(a) = f*a + 29*a - 49*a. Let r(i) = 0*i + 4*i + 14*i. What is u(r(s))?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001872 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -5, -13, 96 in descending order.\nAnswer: 114, 96, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 184*w - 10914. Determine v(59).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053567877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Suppose -11*c + 10*c - 407 = 4*i, 294 = -3*i + 3*c. What are the prime factors of (-12 - i)\/(0 + t)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968363 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 8. Let k = 14 + -11. Which is the smallest value? (a) x (b) k (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/17, -1\/4, -4, 37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 536*u - 5133 - 1835 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = 6*o - 2*o, 4*p = 0. Let w be 0\/6 + 1*2. Let a be w + -4 + (-12)\/o. What is the greatest common divisor of a and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1734823 and 9698.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 131815.\nAnswer: 131814.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858571, 858576, 858581?\nAnswer: 858586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 - 18*y**4 + 1359*y**3 + 1398*y**2 - 2736*y = 0 for y.\nAnswer: -24, -2, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 15 + 444 + -447.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 20*m**3 + 368*m**2 + 624*m.\nAnswer: -4*m*(m - 13)*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03684688827 rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-15) - ((-2 - 0) + -1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7243\/8 - -905. What is the nearest to 3 in v, -2, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:31 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 1\/54*l**4 - 5\/27*l**3 + 4\/9*l**2 - 2 + 3*l. Factor a(y).\nAnswer: 2*(y - 4)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131\/2 - 61. Find the common denominator of j and -63\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 0. Suppose 3*d + 5*s + 21 = 4*d, -5*d + s + 9 = g. Let r = -4 + 6. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 - (1 + -5 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(147)*2)**2*4 + 0 - (sqrt(288)*1*-4)\/(sqrt(96)*3).\nAnswer: 4*sqrt(3)\/3 + 2351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x + 141 + 99. Let o(j) = 3*j**2 + 28*j + 87. Calculate the remainder when o(x) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -971, -963, -953, -941, -927, -911?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = s + 572, 0 = -5*m - 3*s + 822 - 90. Let y be 6*(2\/(-4))\/(-1). Suppose -6*a - 2*i = -a - 173, 4*a + y*i - m = 0. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4223211 and 3819.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -47. Suppose -2*v = 5*y - s, 0*y = -2*v - 2*y + 26. What is the remainder when v is divided by (-43)\/(-15) + (-18)\/(-135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49.1 + -49. Sort 1\/5, a, -0.2, -2\/9.\nAnswer: -2\/9, -0.2, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/18 + (-1085)\/(-77).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/15 + 15\/(-9). Let z be (-5 + j)*(-5)\/(-15). Does 2 divide -3 + z\/2 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 759285*p**2 + 759290*p.\nAnswer: -5*p*(p - 1)*(p + 151858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -13. Let d = l - -1. Let w = 7 - 7.5. Which is the third biggest value? (a) d (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*s**2 + 2 + (-4*s - 4*s + 7*s)*(-3 - 3*s + 3) + 2*s**2 - 4*s**2 + s**2 as m*s**2 + y*s + a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/d*d*d*d\/(d\/((d*d\/(d*d**(4\/3))*d)\/d)*d))\/(d**0)**(-17\/4)*d**(2\/9)\/(d**4\/d)*(d**0*d*d)**(-27\/2) assuming d is positive.\nAnswer: d**(-269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 82?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 219 = -197. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 0.1, -0.2, -10.4 in ascending order.\nAnswer: -10.4, -0.2, 0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-18) + 0)*(-4 - 1). Let i = -16 + 31\/2. Let m = i + n. Which is the nearest to m? (a) -1 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -11. Let t = 112 - 107. Suppose t*f = -12*f + 272. What is the remainder when l is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, j: 2, u: 4, y: 4, q: 2, v: 1}. What is prob of picking 1 v and 1 y?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*k**2 + 77*k**2 - 7 + 2*k**3.\nAnswer: 2*k**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116419051097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 492 times -0.4\nAnswer: -196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 0.1851726?\nAnswer: 0.3851726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*y = 10 - 1, 0 = 5*d - 5*y - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 47711*z**3 + 190856*z**2\/3 + 63620*z\/3.\nAnswer: -z*(z - 15905)*(3*z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-3) + 1)*-8. Suppose 0 = -5*f + 2 + g. Suppose 2*s = -f*s + 508. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.41 smaller than 109\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + l = 9*h + 134, -2*h = -l - 138. Solve 8*o = -26*o + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7585 - 4.714507. What is i rounded to three dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -89*a + 3. Let q be c(-1). Let x = q + -30. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a0437 (base 11) to base 16.\nAnswer: 99d47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 747855 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138177973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u**3 - 7*u**2 + 49*u + 7. Let y(j) = -7*j**3 + 2*j**2 - 16*j - 2. Let k(t) = -2*f(t) - 7*y(t). What is the second derivative of k(a) wrt a?\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.047856 and -0.1?\nAnswer: 0.147856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 40 = -18*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1682 = -5*o - 2*f, -833*f - 1339 = -4*o - 828*f. What is the greatest common divisor of o and 7952?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2306*j - 16170. What is x(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50132 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 1533.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/11 - 370*i**2\/11 - 17296*i\/11 - 16928\/11 = 0.\nAnswer: -92, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 1102, 4684, 12168, 24982, 44554, 72312, 109684?\nAnswer: 158098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447663 by 109.\nAnswer: -4107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 29, 36, 55, 92, 153, 244, 371?\n\"Answer: d**3 - 3*d**2 + 3*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/6))**(-4\/5))**(2\/49) assuming z is positive.\nAnswer: z**(-4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 170?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75\/2 - 541\/14. Let h(l) = -10*l + 57. Let a be h(6). What is the second biggest value in -1, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 37*b = -33*b - 77435, -10 = -2*b. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:05 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.84 - -2.34. Suppose 4*s = 3*d + 11, d = -3*s + 3*d + 7. Sort s, -4\/5, g in decreasing order.\nAnswer: g, -4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 3*q**2 + 3*q**2 - 6*q**2 - 348 + 3*q - 4*q to the form a + y*q**2 + r*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 0.1. Let h = 5\/9 - 34\/45. Let u be (0 - 0)\/((-3)\/3). What is the closest to b in h, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105206328 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 401061830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95919 in 4, -12, 0.2, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533512 and 5684?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from wow?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 15724132*d + 185436245365068.\nAnswer: (d + 23586198)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3653a?\nAnswer: -36538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, z: 6}. Give prob of picking 1 z and 1 v.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -363\/4. Let g = -700 - -709. What is the closest to u in g, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/21*2\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -814 - p**2 - 124*p + 59*p + 835 as r + n*p + k*p**2 and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -91fd + -1dc?\nAnswer: -93d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283\/1101 - 28\/367. Suppose -j - j + 8 = 0. Suppose 0 = j*l - 3*q - 7, -4*l + 3*l + 3*q - 5 = 0. What is the closest to k in 0.03, l, -4\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-24)\/(-180)). Let m(d) be the second derivative of d**5\/20 + 5*d**4\/12 - d**3\/3 - d**2\/2 + d. What is the units digit of m(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h. Let u be -3 + 10 - 0\/(-4). Let z(p) = -4*p - 3. Let x(i) = 9*i + 7. Let b(f) = u*z(f) + 3*x(f). Give r(b(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -832*h - 110439. Give f(-133).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 1747*w**3 + 101 + 1760*w**3 - 168 in the form z*w + u*w**3 + s*w**2 + r and give r.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 10. Suppose -h + 1 = 0, 5 + 3 = q + 3*h. Let g be y(q). Suppose l - 186 = -g*l. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205428 is divided by 154.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 7*v - 4. Let l be 1 + -20 - (0 - 2). Let p = -12 - l. Does 3 divide o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let m(q) = -2*q**2 - 13*q - 22. Let t(w) = -m(w) + 6*o(w). Let y(p) = p - 4. Let a be y(4). What is the units digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g - 7. Let v be (8\/(-10))\/(4\/2350). Let z be v\/70 - ((-10)\/14 + 1). What is the units digit of m(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 11*v**2 - 4*v + 46. Let z be p(11). Let s be (-1)\/1*(2 - 5). What is b in -2\/5*b**s + 0 + 0*b**z + 2\/5*b = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77584.1 to the nearest 1000.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 3. Let r(b) = 7*b - 1. Let i(s) = 6*s. Let y = -8 + 12. Let a(f) = y*r(f) - 3*i(f). Give -5*a(w) + 7*q(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11041253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**3\/3 - 5. Let f(s) = -3 + s + 3 + s. Give p(f(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154\/(12\/9 - 51\/45)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000452613812 rounded to 7 decimal places?\nAnswer: 0.0004526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*w + 250 + 368 = -127*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.3 + 6. Let x = -0.1 + w. Let n = 59\/266 + -3\/38. Which is the second biggest value? (a) x (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + -3 - (3 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -1079, -1070, -1059, -1046?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faxa when four letters picked without replacement from {a: 2, f: 1, x: 2, z: 1, d: 4}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/11, 2, 2\/5 in decreasing order.\nAnswer: 2, 10\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 + 1130 = 4*q. What is the remainder when q is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -93, 609, -1 in ascending order.\nAnswer: -93, -1, 5, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2308, -2973, -4096, -5689, -7764?\n\"Answer: -2*j**3 - 217*j**2 - 2089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)\/(4 + -2). Let v(n) = n**3 + n - 1. Let m(x) = -2*x**3 + x**2 - 4*x + 6. Let y(f) = j*m(f) - 3*v(f). Let p = -3 + 3. Give y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -71986*y + 1. Let f be s(-6). Suppose -f - 104754 = -w. Suppose -2*j = -4*i + 459996, -4*i + 76667 = 2*j + w. Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4*5\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -330120303 (base 4) to base 3\nAnswer: -110120022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + -0.56. Let z = -742 + 743. What is the third biggest value in z, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 830*l - 29000.\nAnswer: -5*(l + 50)*(l + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -15, 20, 52 in descending order.\nAnswer: 52, 33, 20, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 230*o - 119*o - 122*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c - 10. Suppose -3*u + 39 = 2*u - 4*f, -c*u + 36 = -f. Find the second derivative of -11*d**2 + 3*d + u*d**4 + 11*d**2 wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 1\/10*v**5 + 3\/8*v**4 + 0*v + 3*v**2 - 1\/120*v**6 + 0 - 2\/3*v**3. List the prime factors of m(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*r + 2*i - 81, -12 = -r + 2*i. Suppose 2*g - 2*y + 106 = -156, y + 2 = 0. Let c = 29 - g. What is the greatest common divisor of r and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -181.255. Round n to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 + 2 = 0. Suppose c*a - 6*a = 0. Find j, given that -2\/5*j**4 + 4\/5*j**2 - 2\/5 + 0*j**3 + a*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-48))\/(1455\/388). Let i(r) be the third derivative of -29*r**2 + 0 + 0*r - 4\/45*r**5 + 0*r**4 - y*r**6 + 0*r**3. Factor i(o).\nAnswer: -2*o**2*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 85*q - 317*q + 248*q - 12. Let o(n) = 16*n**2. What is m(o(j))?\nAnswer: 256*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -51. Calculate the highest common factor of o and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178880 + 273931. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 4, u: 3, o: 1, g: 1}. What is prob of sequence up?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2756 + 2755.7. Which is the closest to 2? (a) -0.4 (b) y (c) 8\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171215 divided by -961?\nAnswer: -171215\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 - 5606532*s**2 + 3929043607104*s + 149311753011904 = 0?\nAnswer: -38, 1401652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39967 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*c - 434*c + 825*c.\nAnswer: 1141*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - v = 35. Suppose 4*m + 5*t + 103 = 0, 0*m - 4*t = -3*m - 85. Let q = v - m. Calculate the remainder when 43 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1446)\/(8\/(-3) + 4\/6). Let r = -504 + a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = d + 8, 3 + 9 = 4*d - c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*(70\/14)\/(-30)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7239?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*x + 5*x - 7*x + 12*x + 4 - 4 + (-1 + 2 - 2)*(-x - 3*x + 2*x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1874*z - 6615 = -993 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3553904 and -97\/144?\nAnswer: 31985136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose 3*n - 3 = 0, -2 = 2*v - 5*n + 1. Let z be v\/(9\/3*-1). Which is the nearest to t? (a) z (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40370 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmop when four letters picked without replacement from rrprrrmmmorrmurom.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 5*j = -64, 2*o + 3*j = 68. Let t(u) = -386 + 385 + o*u - u. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420093699+0.024693\nAnswer: -420093698.975307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**15)**42)**(4\/7) assuming d is positive.\nAnswer: d**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 4. Let c be z(2). Suppose 17 = -4*h - 3*y, -2*y = 5*h - 5*y + 55. Let f = h + 13. Solve -1 = f*w - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 3748*w + 7488.\nAnswer: 2*(w - 1872)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 299764 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 = -2*x, -4*t + 13 = -5*t + 3*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 973822 * 6\nAnswer: 5842932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/34*38*4*(-4)\/(-16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 + 3*z - 3. Suppose -12 = l + 4. Let v = -7 - l. Suppose -2*q - q = -v. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/1)\/((-1)\/1). Suppose -19*u - 20 = -15*u. Let x = i - u. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 109 = -3*r - 103, -2*s = -r + 12 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose -u*d + t + 94 = -0*d, 5*d + t - 113 = 0. What is the second derivative of -d*w**5 + 51*w**5 - 12*w**5 + 15*w wrt w?\nAnswer: 320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2552 = 1501*f - 6104 - 2452. Let v(g) be the third derivative of g**6\/120 - g**5\/30 - g**4\/6 - g**3\/2 + g**2. Give v(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/5)\/((-2)\/4). Suppose 3 - k = u. Let o be 2*u - (-5900004 + 2). What is o rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fii when three letters picked without replacement from kicifmcf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-108)\/162*(-6)\/4. Suppose 5*j - 19 = 11. Suppose j = 5*u + 11. Sort 2, v, u, 3 in ascending order.\nAnswer: u, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 - 2 - (2 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, u: 1, h: 1}. Give prob of sequence yu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 8*g - 13. Let o be q(-4). Suppose -2*x = 4*w - 3516, 3*x - 7017 = -x - o*w. Suppose -x - 1270 = -2*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 480 + 60. Suppose -4*v + l = -9*v. Is (-4)\/(-6) - 13842\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(7\/(7\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 7*d - 7. Let l(k) = k**2 + k + 3. Let c(m) = i(m) + 3*l(m). Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86\/9*a**2 - 4\/9*a**3 + 0 + 44\/9*a = 0. What is a?\nAnswer: -22, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 4*q**2 + 4*q**2 + (q + 0*q + 0*q)*(-q**2 + 3*q**2 + 0*q**2) - 1 + 1 - 2*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**3*s**4 + 3*p**3*s + 47*p**3 + 28*p*s**4 - 2*s**2 wrt s?\nAnswer: 36*p**3*s**2 + 336*p*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14316 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1188 divided by 4.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 137*s**2 - 137*s**2.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*q**3*y + 12004*q**3 - 2*q**2 - 38987*q*y + 39*q + 2*y + 1 wrt y?\nAnswer: -101*q**3 - 38987*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1 (c) 5 (d) -0.3 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 544. Let r(g) = g**2. Determine o(r(d)).\nAnswer: 2*d**2 - 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267307*a**4 - a**2 + 63426*a.\nAnswer: -6415368*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 5390172.\nAnswer: -7\/898362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiq when three letters picked without replacement from {w: 4, q: 2, d: 1, z: 2, i: 2, a: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6008 and -24887466?\nAnswer: 24887469.6008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let t(o) = -305*o. Calculate -t(d) - 366*u(d).\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/1436261?\nAnswer: -36\/1436261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/556325 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 274 = -s - 247, -2159 = 4*s - o. Let i = -307 - s. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*u + 23*u = 1171 + 1026 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -12055?\nAnswer: -1\/2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 2021220120012012?\nAnswer: -2021220120011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-121)\/1 - (-1 - (-4 - 2)). Let y be (-168)\/i*54\/(-304). Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:05 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-31 + -18 + 68).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/6)\/(10\/(-2025)). What is the highest common divisor of t and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/8)*b*b)\/b*b*(b\/b**1)\/b)**(-1\/66) assuming b is positive.\nAnswer: b**(-7\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2183137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 29*l + 512. Let z be y(-17). What is the greatest common factor of z and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 17 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44519752987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 96\/9. Let h(v) = -22*v - 15*v - x*v + 0*v - 4. Is 23 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(20\/5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.424236 kilograms to micrograms.\nAnswer: 2424236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 - (-298177)\/(-21186) - (3\/(-1) - -1) and -14\/5?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -453 - 1?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 109*b**2 + 60*b - 6535. Let l be c(109). Determine y, given that 1\/8*y**l + 0*y + 0*y**3 + 0*y**2 - 1\/8*y**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111678202 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*j - 4*j - 3, 0 = 3*b. Suppose 15 = -j*r + 8*r. Let v(x) = -6 - 3*x - r*x + 5*x - x. Let s(w) = -2*w - 5. Give -6*s(f) + 5*v(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790762340.\nAnswer: 2, 5, 39538117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -819\/4280?\nAnswer: -819\/4280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 562803 and -10.\nAnswer: 562793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31195 - 31182. Solve 4*k = -28*n + 23*n + u, 2*k = 4*n - 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005356155259 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 10 - 5) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.1. Suppose 2*g + 14 = 4*z, z - 3*g - 1 + 0 = 0. Which is the second smallest value? (a) p (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131067085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1188 + 363. Let s be 3 + v\/(-3) + -3. Calculate the greatest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-15))\/((-2)\/(-10)). Suppose -4*y + c*k = -5*y - 24, 4*y + 5*k + 52 = 0. Calculate the least common multiple of (-1)\/(-4) - 142\/y and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34027*f = 33737*f + 21460 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -39*y**2 + 8*y**3 - 12*y**3 + 39*y**2 + 5. Let r(p) = -9*p**3 + 11. Calculate 5*g(z) - 2*r(z).\nAnswer: -2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4*9)\/((-30)\/(-120)))\/2. Solve -330*m + 338*m - y = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) - (sqrt(99) - sqrt(99)*-3)))\/(sqrt(63)\/sqrt(7)*-2).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 17*n**2 + 17*n - 13. Let v be g(16). Suppose j + j - 40 = 0. Calculate the remainder when j is divided by (-2 + v)\/((-4)\/(-44)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17313209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b*b**(-1\/3)*b)))*b\/b**(-5))\/(b**(-1\/2)*b**0*b) assuming b is positive.\nAnswer: b**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 66*p - 128*p + 65*p as n*p + o*p**2 + c and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 161 = -167. Suppose 11 = -5*w + 6*w. Suppose -h*l = 5*s - w, -4*l + 1 = -5*s - 2. Solve -5*i - 7 + l = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10107*g + 8966*g + 5 + 2*g**3.\nAnswer: 2*g**3 - 1141*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2 + 4. Let w be k(-4). Which is the third biggest value? (a) -4 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4518960 by -188290.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*f - 2*k, -k + 20 = -0*f + 3*f. Suppose 2*i + 263000010 = -f*c, -4*i - 52600020 = -8*c + 9*c. Round c to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2 - 96\/42 - 3336\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/4)\/((-36)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/457 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/(w*w\/((w\/w**3*w)\/w)*w))**(-35) assuming w is positive.\nAnswer: w**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.4 and 4.\nAnswer: 181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 < -907\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -f - 1 - 1, 2 = -c + 2*f. Let q be 3\/(-2)*(1 + c - 5). Solve 0*p - 3*p - 2*d + 10 = 0, 25 = q*p + 5*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22*(-480)\/4620)\/((-40)\/14)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 3\/5, 0.05, -1.02, -0.072, 6\/11?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1645*i*q**3*v - 2*i*q + i*z - 17842*q**3*v*z + 3*q**3*v + q**3*z - 2*v with respect to z.\nAnswer: i - 17842*q**3*v + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u**2 + 1. Let r(j) = -j**2 - 9*j + 1. Let f be r(-9). What are the prime factors of k(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-10)\/(-140)*-12*(-6)\/8?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -777567 divided by 61\nAnswer: -12747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 1.5. Let m = 1.7 - l. Let r = -12\/35 - -131\/280. What is the closest to -2 in 2\/7, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, c: 5, j: 1, r: 4}. Give prob of sequence bcc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.3 (c) 3 (d) -29313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asms when four letters picked without replacement from {o: 2, a: 1, s: 2, m: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 203*k**2 + 610*k + 24. Determine n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11942 - 1305*d - 11942)*(0*d + 2*d - 3*d).\nAnswer: 1305*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - 5) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -2*l - 16*h + 110484, 220989 = 4*l + h. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:57 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 147.7640367s?\nAnswer: 0.00024431884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/19312394 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 6:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.06 + 44.94. Which is greater: o or 0.01?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d + 2. Let c = -38 - -41. Give b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 2\/5 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + a = -277*s - 558, -1268*a = -4*s + 2*s - 1269*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -2*t, 3*t + 1 + 2 = 0. Let s be i\/15*-5*4. Suppose -3*b - s*u = -74, 5*b + 5*u - 108 = 17. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-50 - (-31813)\/638)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-10 - -2 - (-3 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r**3 - 1351245*r**2 + 6032484933*r + 485036407677 = 0.\nAnswer: -79, 45239\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 2*a - a**3 + 0*a**3 + a**2 - 1. Let l be 8 + -1 + (-1 - 0). Let z(w) = 4*w**3 - 8*w**2 + 6. Determine l*r(i) + z(i).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 17*o**2 + 5. Let y be -20 + ((-9)\/27)\/((-2)\/18). Let u be i(y). Let f(l) = -32 - l**2 - 34 + 96 - 27 + 3*l. What is f(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42185414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 16*d - 1. Let r(h) = -h. Let v(i) = -g(i) - 5*r(i). Let z be v(-1). Let o = z + -12. Solve 0 = y + q - 2*q - 4, 5*q + 15 = o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1316003621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14074638 + 133784?\nAnswer: 14208422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 38184400 to the nearest one hundred thousand.\nAnswer: 38200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1668*o + 3*o**2 + 3 - 856*o - 887*o - 5*o**2 - 6 to k*o + m + n*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t - 70*t + 5*q = -15, -5*t - 5*q - 15 = 0. Solve -3*v - j = 11, 4*j + 10 - 26 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*b**4 + 2321*b**2 - 2768973*b wrt b?\nAnswer: -1800*b**2 + 4642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 3381?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 21*d - 725. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 27*x - 87. Let f be l(3). Let q(v) = -v**3 - 7*v**2 - 3*v + 13. Give q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 + 22*k**2 + 6*k**2 + 13*k**2.\nAnswer: 58*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20*x**2 + 25*x + 25. Let w(c) = -5*c**2 + 6*c + 6. Let h(z) = -25*w(z) + 6*y(z). Let d(s) = -3*s. Determine d(h(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n - 2 + 8*n**2 - 7*n**2 + 0*n**2. What is u(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*c - 5*x, 33 = 4*c + 5*x - 96. Let z(p) = -13*p + c*p - 7*p - 12*p. Let r(t) = 2*t**2 - 11*t. Calculate z(r(f)).\nAnswer: -2*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/9 (b) 0.7 (c) -303499 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*b + 17 = 66, 4*i = -3*b + 226. Suppose -n + 3*d - 2*d = -15, -2*d = 2. What is the remainder when i is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:54 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhoh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530560 is divided by 9488?\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*d**2 + 1573*d + 1664*d + 1567*d - 4804*d.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.02295t to micrograms.\nAnswer: 58022950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77939.76 weeks in microseconds?\nAnswer: 47137966848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 122\/11?\nAnswer: 122\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-49)*(-21)\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/16*251\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, 5, -25 in decreasing order.\nAnswer: 5, 3, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**3\/11 - 3316*i**2\/11 + 259954*i\/11 + 87020\/11 = 0. What is i?\nAnswer: -1\/3, 95, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/65 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.097 - -0.068. Let j = q + 100.029. Let u = j + -99.49. What is u rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -9525 - 10475. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/297 and -49\/8602.\nAnswer: 232254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q - 11*q**2 + 0 - 3 - q**3 + 16*q**2. Let f be b(3). Solve 3*z = -m - f*m - 13, 2 = -5*m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 1. Let i be c(-2). Suppose -4*l - 13 - i = 0. List the prime factors of 2\/l + (-76)\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*n - 196*n - 50, 5*n = y - 55*n - 282 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*a + 25 = 0, 4*s + 2*a = 3*s - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**4 - 4*o**4 + (1 - 1 + 2*o)*(o**3 - o**3 - 2*o**3) + 390*o**2 - 390*o**2 + 32*o**3 + 2298*o**4 - 32*o**3.\nAnswer: 2293*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 306 + 93 = 0. Let y = -38 + a. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67028.2l?\nAnswer: 67028200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:35 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 784 - 446. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 14407?\nAnswer: 14417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 6, 0, 1, 3 in ascending order.\nAnswer: -5, 0, 1, 3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*6\/9. Let w(i) = -145*i + 9713. Let p be w(67). Sort p, -1, q in descending order.\nAnswer: q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 12 = -0*b + b, -m + 59 = -2*b + 41 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - -23. Suppose 0*d + f = 3*d. Calculate the greatest common factor of d and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 15*t**2 + 4*t - 58. Let j be s(15). Let q be 12\/(-8)*(40\/(-12) + j). Solve -2 = q*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 23, 31, 39, 47?\n\"Answer: 8*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18471 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: Simplify (5 + ((sqrt(1539) - (sqrt(1539) + (-5*2*sqrt(1539))**2)) + -4*(-1 + sqrt(1539)))*4)*-6.\nAnswer: 864*sqrt(19) + 3693474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - 5*l**2 + 5*l - 3. Suppose 2*h + 4 + 6 = 0. Let w(k) = -k**3 + k**2 - k. Let c(y) = h*w(y) - i(y). Find the first derivative of c(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 + x**2)*(1 + 0 - 4) - 3 + 3 + 2*x**2 - x - 17*x**2 - 12*x**2 + 45*x**2.\nAnswer: 12*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*y - 6 = 0, -5*l + 4*l - 4*y = 9. What is the lowest common multiple of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2214)\/10 + (-10)\/(-25). Let x = 18 - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3387, -6719, -10051?\n\"Answer: -3332*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 29*p**2 + 0 - 10*p**2 + 5*p**4 - p**4 - 2*p**3 as o*p + b*p**4 + h*p**2 + v + q*p**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8 + 1)\/(-6 + (-441)\/252)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 2, b: 3, y: 3, v: 1}. Give prob of sequence awv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 5. Let f be y(-3). Suppose c = 3*z + 2 - 12, -12 = 4*c - 5*z. Let n(w) = -w**2 - 2*w + 2*w + c*w**f. Let g(l) = -7*l**2. Give g(n(p)).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/((-10192)\/192))\/((-1)\/(-13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 + 6*v + 32. Let i(f) = f**3 + f. Calculate 6*i(c) - n(c).\nAnswer: 2*c**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/143 - 26\/22. Let f = 4 + w. Solve -4*r + 12 = -2*n, -f*n + 2*r - 8 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 24 = 14*y. Let p = 14 - y. What are the prime factors of p\/((-1)\/24*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -29, -8, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1177883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000607596 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -992*0.743.\nAnswer: -737.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 6*p**5 + 0*p**4 + (3*p**4 + p**4 - 2*p**4)*(4*p - 3*p - 3*p).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = -0. Let x(t) = 2 + 5*t + 1 - 4. Determine x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let q be -3*f*20\/(-30). Suppose -2*s - 5*r = -188, 6*r - 186 = -2*s + q*r. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 1:50 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -267, -599, -1065, -1665, -2399, -3267?\nAnswer: -4269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (654\/763)\/(3\/742)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 7, p: 2, h: 1, k: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -23*o. What are the prime factors of (-378)\/(-10) + (-3)\/(-15 + o)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3288 and 80?\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*j + 4 = -0*z, -z = 3*j - 3. Let f be ((-19 - -19)*(-1)\/(-2))\/(-1). Solve -3*a - 5*y + 2*y - 3 = f, -4*a - 5*y - 3 = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 12*o + 67 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 21*r - 3. Let s(v) = -200*v + 28. Let n(m) = 28*q(m) + 3*s(m). Let f(y) = -38*y**2. What is f(n(a))?\nAnswer: -5472*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, -2.9, 1\/21, 0.05, -81?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5859, 23481, 52861, 93999?\nAnswer: 146895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (1 - -2))\/(-1). Suppose 4*m - 1 + 75 = 3*p, -2*p + 5*m + 47 = h. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*t + 2 = 0, -2*k + t - 3*t = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 32. Let z = -8 + d. Solve 0 = 4*s - z*l, l - 2 = 2*s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1353 and 1353.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77279 is divided by 451.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 367181 != 367179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482*l - 455*l - 351 = 0. Let k = 6 + -2. Suppose 0 = -3*z + 4 - 7, k*z + 719 = 5*m. Calculate the greatest common divisor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56382 is divided by 18751.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -41 - (0 + -10 - (63 - 62))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -7\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 342121891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 561263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 62 + 3933. Let r = j + -559. Suppose 0 = -4*z + 4*y + r, z - 122 = -z + 4*y. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11)\/w**(-3\/4))\/(w\/w**(-2))**(-29))**(-13) assuming w is positive.\nAnswer: w**(-3991\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42059975 is divided by 2716.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.09 (b) -4\/3 (c) -0.031 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3*-2 - sqrt(171))\/(sqrt(9) - (2*sqrt(900) - sqrt(900))).\nAnswer: 7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 5)*(-5209*x - 707*x + 517*x) to t + r*x and give r.\nAnswer: 16197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 13}. What is prob of picking 1 w and 2 l?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13970 and 125730.\nAnswer: 125730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20201845 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 66*d + 9. Let u be v(4). Let t = -195 + u. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 - 111. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032) + sqrt(4032) + sqrt(4032) + -2 + sqrt(4032)*1 + 1 + sqrt(4032) + sqrt(4032) + -3 + 4)*-2*5)**2.\nAnswer: 14515200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1552 + -1518. What is the remainder when 438 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10217638, 10217612, 10217586, 10217560, 10217534?\n\"Answer: -26*d + 10217664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 20 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 6498225?\nAnswer: 32491125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(6\/7))\/(1\/(-2)). Let r be 46\/14 - (-2)\/s. Suppose 4*a - 5*b - 925 = 0, 0 = -a + r*b - 0*b + 226. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 108. Sort -5, -13\/5, x.\nAnswer: -5, -13\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 at most 2\/58643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**3 - f**2 + f - 1. Let o(q) = 5*q - 11*q**2 - q**3 - 2*q - 21 - 5*q. Let m be o(-11). Let y be v(m). Solve 2*u = y + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 8:37 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -77538 divided by -6\nAnswer: 12923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004828.\nAnswer: 2, 751207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/4471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*i**2*t**2 + 13*i + t**2 - 4 wrt i?\nAnswer: -442*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 1, s: 2}. What is prob of picking 1 o and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z - 468. Let h be x(-12). Which is the second biggest value? (a) 39 (b) h (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353 = 52*m + 7487. Is m at least as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 79345?\nAnswer: 396725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-5)\/(-30)*3*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(80) - (2*sqrt(80)*1 + sqrt(80))))\/(sqrt(360) + sqrt(360)*2*1).\nAnswer: -8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 40*i - 1311. Calculate m(-61).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 60163\nAnswer: -10\/60163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -534205 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 1207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105 + i + 193 + 166 + 5*i - 3*i - 3*i + (-3 - 4 + 5)*(i - i - i) + i + 0*i + i + i - i + 3*i)*(-3 + 3 - 2) to n*i + w and give w.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 10240\/(-560))\/((12\/98)\/(-2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 5 (b) 0.3 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.09 - 0.09. Let b = -5 + q. Let j = -12789 - -12794. Put b, -1\/3, j, -5\/4 in decreasing order.\nAnswer: j, b, -1\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 37*c**3 - c**2 - 2*c + 2. What is z(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/2 + u**2\/2 - 16*u. Suppose 15 = 5*c - 8*c. Let k(f) = -2*f. Let w(r) = c*k(r) - 3*y(r). Differentiate w(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -535443 (base 6) to base 7\nAnswer: -242223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*t + 31 + 44, -5*t + 15 = 0. Let r(o) = -22*o - 36*o + z*o. Let y(g) = -2*g. What is r(y(v))?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11*w = -30. Suppose l = -w*p + 332, -5*p - 2*l = -5*l - 819. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22.94 from -60125696069.\nAnswer: -60125696046.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:01 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3032040696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 41*o**5\/330 - 13*o**4\/44 - 2*o**3\/33 - 7*o**2 - 4*o. Factor r(d).\nAnswer: 2*(d - 1)*(41*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48132 divided by -191\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*a - 4*r, 3*a - 16*r + 14*r = 71. Calculate the highest common factor of 20 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22439230 to the nearest integer?\nAnswer: 4737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 48, 79, -2, 28.\nAnswer: -3, -2, 28, 48, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -4510?\nAnswer: -4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s - 559. Let j(d) = -374*d. What is p(j(l))?\nAnswer: -4114*l - 559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1339.4 + 1339.26. Let y = 0.04 + 0.05. Let q = 2.91 + y. Is a equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*x = 243*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.1338 + -22.942. What is o rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2070 and 414?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -9056, -2\/5, -0.2.\nAnswer: -9056, -7, -2\/5, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328672 and 448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1104 - 567. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 792 and 14300.\nAnswer: 257400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: c740 (base 16) to base 3\nAnswer: 2120222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 140*j**2 + 58*j.\nAnswer: -24*j**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + (-10)\/((-650)\/14391). Calculate the highest common divisor of 52 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:00 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 y when three letters picked without replacement from qqqyqyqqqyq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 66, 52, 22, -30, -110, -224, -378?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5997973.29 times -0.4?\nAnswer: -2399189.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -22, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38794480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:40 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-2)\/sqrt(5).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275116*n**3*s**2 + 912*n**3*s + 2*n**3 + 30*n**2*s - 2*n*s wrt s.\nAnswer: -550232*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 - 3*s**2 + 105*s**2 + 50 + 4*s**3 in the form b*s**2 + i + j*s**3 + q*s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 + 3*w**2 + 2*w**2 + w - w + (2*w + 2*w - 3*w)*(0*w + 4*w - 2*w) + w**2 - 3*w**2 + 6*w**2 + (3 + 3*w - 3)*(w + w + 0*w))*(-3*w + 2*w - w).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 - n**4\/4 + n**2. Let u be b(-5). What is the third biggest value in u, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -9.2769996723.\nAnswer: -13.7230003277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3148266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14930046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1563100897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -81*x - 3. Let d be u(9). What is the remainder when (d\/(-9))\/4*3 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000789442 to five decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1040637, 4162566, 9365783, 16650288?\n\"Answer: 1040644*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 99*y - 1. Let w be i(19). Suppose 2*h - 383 = -u - 0*h, -w = -5*u - 3*h. List the prime factors of u.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 8. Let n be q(-7). Let s = 5 + n. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 + 6*z + 2*z**4 + 0*z**4 + 0*z. Let t(r) = -r**4 - 32 + 30 + 126*r - 131*r. Let p(l) = 6*t(l) + 5*y(l). Differentiate p(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s + 42. Let z(b) = -b + 1. Let f(u) = -w(u) + 12*z(u). Let q be f(-16). Differentiate -74 + 10*t**q - 63 + 119 wrt t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = c - 124, -3*c + 127 = -2*c + 5*u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2015 + 0.5015. Which is the nearest to 0.1? (a) y (b) -12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-148)\/6)\/((-7256)\/21768)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5, 2*j - 5*r - 13 + 42 = 0. Let l = j - -5. Suppose 3*o - p = 2*p + 57, l*o + 3*p - 87 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.54\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1102*b**2 - 11026*b + 2. Determine o(10).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -77. Let v = 66.98 - y. What is the second smallest value in -4, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/5 - 0\/1. Suppose t + v + 5 = 0. Which is smaller: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 22733*s + 40414230.\nAnswer: -(s - 1657)*(s + 24390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 + (43360 - -7 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -29*u - 739. Determine l(-37).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2919\/8 and -364 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1250.8 + -1243. Sort j, -2\/3, 2\/25 in ascending order.\nAnswer: -2\/3, 2\/25, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272577976.\nAnswer: 2, 409072247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16\/4 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5776 is divided by 1443.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 290? (a) 0.4 (b) -469 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1465*w + 16107. Let o be n(11). Sort -9, 7, 5, o.\nAnswer: -9, o, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/317 in -4, 31, 18, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535067719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2873*c**2*m**3*o + 171*c**2*o**3 + 2*c*m**2*o - 109477*c*o**3 + 131*m**3*o**3 wrt c.\nAnswer: 5746*m**3*o + 342*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -27. Suppose -4*i - a + 3 = 0, -5*i - 4*a - 5 = -a. Suppose 3*d = n + 8*d - 70, 5*n - i*d = 242. Calculate the remainder when n is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2946 - 1246 = 0. Let m = t + 337. List the prime factors of m.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let a = 84.1 - 84. What is the smallest value in a, 2\/9, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012678451 to seven decimal places.\nAnswer: 0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3571 is divided by 1730?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 4 - (-20 + -2 + 20 - -15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 3*u**3 - 6*u**2 - 10 + 10.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 1. Let m(v) = -7*v**3 + 2*v + 6. Suppose -5 = -3*d + 4. Suppose -k - 20 = 4*b - 2*k, -4*b + d*k = 12. What is b*a(s) + m(s)?\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66265, 16, -0.1?\nAnswer: -66265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 2:59 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 148*x**2 + 228*x - 16065. Give r(-150).\nAnswer: -5265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*x = 4, -24*p + 28*p + 4*x = 8. Solve -q - q = r + 3, p*q = -5*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u = -542 + 164 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 76053712081 and -0.15.\nAnswer: 76053712080.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -359. Calculate the greatest common divisor of z and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 4*p + 4. Let j(k) be the third derivative of k**6\/120 + k**5\/60 - k**4\/24 + k**3\/6 + 81*k**2. Determine -4*j(o) + q(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13138114 and -0.1.\nAnswer: 13138113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 9) to base 6\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*x - 139 = 0, -2*x - 8099 = -3*q - 8178 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*2*-1. Let o = m + -3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26481 take away 28.04?\nAnswer: -26509.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 > 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87833 or -87840?\nAnswer: -87840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*(v\/(v*v*v*v**17))\/v*v**(-1\/19) assuming v is positive.\nAnswer: v**(-343\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 12*a + 10*a = -6, 4*a = 4*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -c0 (base 16) to base 3\nAnswer: -21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -221021010122?\nAnswer: 221021010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 125*s + 5583. Calculate t(-45).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(84) - (sqrt(84) - -4*(sqrt(84)*4 + sqrt(84))) - sqrt(84))\/sqrt(12) + 0)*2.\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0155 + -4.8255. Let f = x + 0.11. Let y = f + 0.7. What is the second smallest value in y, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1819*k + 8647. Calculate n(5).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3 - 16. Let z be u(-1). Let i = z - -75. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:39 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*n**2 - 57353970*n + 57353970*n.\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 + -128.1. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-1 + 2 + 2)*(3*n - n + 2*n).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajap when four letters picked without replacement from {p: 4, a: 5, j: 10}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {l: 1, z: 1, r: 2, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j - 12. Let t be l(-1). Suppose t*o - 13*o + 834 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -2\/5 (b) 122 (c) -3 (d) 0.05 (e) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z + 588. Let q be v(49). Solve s + 1 = -x, q = 3*x - 0*s + 5*s - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474076 and 19182.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -565782 (base 11) in base 6?\nAnswer: -31145513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 10*o**2 - 15*o - 2. What is the remainder when r(-10) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:44 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2*13*2. Let v(u) = -u**3 + 4*u**2 + 13*u - 5. Let j be v(6). Let m be 76 + j\/10 + (-285)\/(-150). Calculate the highest common factor of m and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 2*j**3 + 0*j**2 + 0 + 1\/3*j**4 - 13*j. Factor i(f).\nAnswer: 4*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 10*b - 5. Is c(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347239892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 32. Let l(z) = 5*z**2 + 97. Give 11*h(r) - 4*l(r).\nAnswer: 2*r**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1\/((8\/(-4))\/6))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*60030\/9. Calculate the common denominator of ((-18)\/20)\/(552\/b) and 19\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let k = g + -4. Let x = -5 + 3. Which is the biggest value? (a) x (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, -1 in decreasing order.\nAnswer: 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -155144401 (base 6) in base 9?\nAnswer: -6230141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 8:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.1 + 2.5. Let l = -2.6 - -3.2. Let u = i + l. Put -2\/17, -3\/7, u in decreasing order.\nAnswer: -2\/17, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -1057, -1584, -2109?\nAnswer: -2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) 128 (c) -2\/3 (d) 2.22 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 418 + -388. Let x(u) = -3*u + k*u - 30*u. Let f(s) = -s**2 - s - 1. Let n(g) = -10*g**2 - 18*g - 18. Let b(z) = 36*f(z) - 2*n(z). Calculate x(b(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z. Suppose -5*t = d - 14, -7*d + 2*d - 3*t + 26 = z. Solve -11 = -5*v - 3*r, 2*r = -d*v + 4 + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 2707 = 2*c + 1657, 5*b + 340 = -15*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/7)*d*d*d*(d**11\/d)\/d assuming d is positive.\nAnswer: d**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) - 22\/(-6). Suppose -3*s = -4*s - l*c - 6, 2*c + 4 = 3*s. Suppose -5*o - 1 + 6 = s. Solve -o - 1 = z, 0 = -i + 5*z + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-510)\/(-90))*(-2)\/4*2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(35) - sqrt(35)*1) - (sqrt(140) + -1*sqrt(140)))\/(-6*3*sqrt(1008)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 4*t**2 - 11*t + 6 = 0. What is t?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -1396 (c) 1\/9 (d) 5 (e) 15\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*x - 13*x**3 + 286*x**3 + 92*x + 44*x in the form f*x**3 + h*x**2 + a*x + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*b - 40*b + 12. Solve 2*t - 4*t + 6 = b*h, 9 = 3*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -414, -374, -318, -246, -158?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2851 - 1289. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + g. Let m be s(-1). Suppose 2*p + m*a = 0, 5 = 5*p + 3*a + 2*a. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -27*q. Factor 0*h + q + 2\/5*h**2.\nAnswer: 2*h**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*y + 3)*(-5 + 4 + 3) - 9078*y + 72 + 99 - 262 + 91 to the form z*y + a and give z.\nAnswer: -9074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 27*m**2 + m. Let o be 108\/(-918) - (-38)\/34. Calculate k(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 2*i**2 + 632*i - 4*i**2 - 632*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2\/4 + 8555*m\/2 + 17090 = 0 for m.\nAnswer: -3418, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 1. Suppose 48 + 0 = 12*y. Suppose -y*i = -z - 2, 4 = -z + 3*z. Give p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*f*j**3*n - f*j**3 + 957*f*j**2*n**2 - 12*f*j - f*n + 24*j**3*n**2 + 5*j**2 wrt n?\nAnswer: 1914*f*j**2 + 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116805 times 0.05?\nAnswer: 5840.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 + 77*a - 1730. What are the prime factors of i(21)?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 19. Let z be g(-8). Put 0, 15, 6, z in decreasing order.\nAnswer: 15, 6, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i + 620 = 59*i - 556 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(36\/(-48))\/((-3)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -125489, -250989, -376463, -501905, -627309, -752669, -877979?\n\"Answer: m**3 + 7*m**2 - 125528*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a + 214. Determine j(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 (base 6) in base 3?\nAnswer: 200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzazazz. What is prob of sequence az?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(1700))**2*-6 - (3 + sqrt(1700)*-2) - 2*2*(1*sqrt(1700))**2) + -1.\nAnswer: -68013 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1155, -4\/7, -0.19, -4, -1.6, 4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2135610 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4391 times 8167\nAnswer: 3586.1297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 62265*g - 62268 = 0. Calculate g.\nAnswer: -1, 20756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*c**(-2\/5)*c**3*c**5)**29 assuming c is positive.\nAnswer: c**(2407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.93 + -6. Let s = 0.14 + t. Let y = s + -0.27. Which is greater: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 57373851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 30 = 0. Let p be 4 + 0 - (-3 + 0)*7. Suppose -u*i + p = -i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19817, -19869, -19935, -20021, -20133, -20277, -20459, -20685?\n\"Answer: -j**3 - j**2 - 42*j - 19773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8883, -17766, -26649, -35532?\nAnswer: -44415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 - 10 + 0 - 92*y. Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 893 - 1204. Let k = s + 335. Solve 0 = 31*a - 25*a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2aa1662 (base 11) to base 4\nAnswer: 110032132113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**6\/3 - 32*h**5\/5 + 6*h**4 + 92*h**3\/3 - 13*h**2 - 60*h - 417. Let w(y) = 0. What is y?\nAnswer: -1, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133919.1 to the nearest one hundred.\nAnswer: -133900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h - 52. Let n be k(11). Solve 9*v - 8*v = -n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2499 - -24256. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16923*t**3 - 2340 + 1825 + 16924*t**3 - 1225*t wrt t.\nAnswer: 3*t**2 - 1225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9180 and 586140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g**2. Let n be m(0). Suppose t - c = -n*c + 23, -3*t + 66 = -2*c. Let p = t - 20. Solve 5*y + 20 = p, -4*y - 11 = 2*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose 0*a = a - j. Suppose -5*n = -4*n - a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -279\/13?\nAnswer: -279\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 191 in 1\/4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11)*-1*2)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(8\/32) - 1. Solve m = -v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 6. Let x be l(-7). Suppose g = -0*g + x. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 + 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 - 131 + 122 = -25*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 159023, 159026, 159029, 159032, 159035, 159038?\n\"Answer: 3*b + 159020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581105.\nAnswer: 5, 163, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1323 - 1147.9. Let q = -158 + l. Let i = -17 + q. What is the closest to -4 in 2\/15, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Suppose -m + 14 = 3*h, h = 3 + o. What is the units digit of (-1 - -5)*(m - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -124 - -37?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.4, 1\/5, -0.1 in decreasing order.\nAnswer: 0.4, 1\/5, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1375 and -2036?\nAnswer: -279.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 2842 = -17*i. Suppose -5*b - 2*c = -1535, 3*b - i = -3*c - 509. 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: 34 (base 9) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780465 + -8?\nAnswer: 1780457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 166305300 to the power of 1\/2, to the nearest integer?\nAnswer: 12896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -19*z**4\/24 - 11*z**3 + 30*z**2 + z. Let w be f(-6). What is the highest common factor of 36 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (10 - (15 + -21))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*w. Suppose w*a = -4*a + 22800000. What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 530, 4, -1, 2 in decreasing order.\nAnswer: 530, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g + 49. Let u be a(-6). Let r(s) = -5*s**3 - 10*s**2 + 7. Let i(p) = 11*p**3 + 21*p**2 - 15. Determine u*r(y) + 6*i(y).\nAnswer: y**3 - 4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35597489797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10588, -5, 335, 4, 6 in increasing order.\nAnswer: -5, 4, 6, 335, 10588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*c**3 + 35*c**4 - 163*c**3)*(-34 + 101 + 32).\nAnswer: 3465*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211816\/15 - 13927. Let y = m - 988\/5. What is the common denominator of y and -1\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 27*k + 56 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c - 7*c + 8*c - 14*c + 6 + 4*c + (0*c - 3*c + c)*(5 - 1 - 6).\nAnswer: -3*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(0 - 3*r**4 + 0) + (3*r - 3*r**2 - 3*r)*(-r**2 + 0*r**2 + 0*r**2).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 478019 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*x**2 - 9*c**3 + 38*c + 1395*x**4 wrt x.\nAnswer: 2*c**3*x + 5580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*u - 1697, 2*u - 1860 = -4*d + 400. What are the prime factors of d?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(2 - (-6 - 340\/(-42))). Calculate the greatest common divisor of 330 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 3, g: 9, i: 2}. What is prob of picking 2 z and 2 f?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -396 (b) 7 (c) -24 (d) 2\/3 (e) -4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 342 and 1110308980.\nAnswer: 1110309322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11 + 3*n + 12 + 8. Let r(i) = -i - 2. Calculate -9*r(o) - 2*v(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1220.\nAnswer: -3660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2336, -6787, -13352, -22025, -32800, -45671, -60632?\nAnswer: -77677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 154195608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266750 and 1648030.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and -127\/1268844.\nAnswer: 1268844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = 13*i - 9*i, -2*i - 3*j + 15 = 0. Suppose -2*x + i*x - 63 = 3*v, v = -4*x + 226. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t)*(-1 + 1 + 2*t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97966464 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by -5.\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23423, -23424, -23425, -23426, -23427?\nAnswer: -23428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/23)*f)\/f)**(-3\/17)\/(f**19*f)**39 assuming f is positive.\nAnswer: f**(-304962\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273.5 + 273. Let s = -0.1 + 0.1. Let w = 0.2 - s. Which is the biggest value? (a) w (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or 3028.8?\nAnswer: 3028.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 542+-2055.69767\nAnswer: -1513.69767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)*-4 + sqrt(150)\/sqrt(5)*4)\/(sqrt(30)\/(sqrt(25)\/sqrt(5)) - sqrt(600)*6).\nAnswer: 36*sqrt(5)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 72 = 2*a. Suppose -5*j + 11*j - a = 0. Suppose 4*p = j*n + 49 - 16, -p - n + 17 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u - 5*u + 97 = k, -9*k + k = -3*u - 2*u + 123 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -99918.05?\nAnswer: 99916.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 2*j - j - 5 = -2*v, 2*v - 1 = g*j. Let c(b) = -b**3 - 7*b**2 + 5*b - 11. Let r be c(-8). Solve 5*y = -v - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 3. What is the remainder when s(8) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6924, -5, -1.\nAnswer: -5, -1, 6924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 - x - 1. Let d be i(-1). Suppose -5*u + 5 = 0, w + u + 1 = 2*u. Which is the nearest to d? (a) -1\/7 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 122*q + q**3 - 12 - 9 - 7*q**2 - 138*q + 1. What is d(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1001021100021?\nAnswer: -1001021100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 297 = 5*a, 282 = 4*f - 0*f + 2*a. Let j = -26 - -15. Let x = 28 + j. What is the greatest common divisor of x and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/510 and 17\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 2*k - 10. Calculate g(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 not equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -120. Suppose -4*m = m - x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.4151 microseconds in milliseconds?\nAnswer: 0.8214151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + (1 + -3 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(13\/(-78)). Let m be ((-8)\/(-16))\/(y\/12). Suppose 0 = o - 2*w + m*w - 166002, -2*w + 166004 = o. What is o rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/1932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 3. Let g(c) = -34*c + 75*c + 1 - 40*c. Let u(k) = k**2 + 2*k + 3. Let x(j) = -2*g(j) + u(j). Give x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -17*b - 33*b - 95*b. Solve b = -4*x - 2*t, -62*t + 16 = -3*x - 61*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + 6 + (-21)\/12. Let v(l) be the second derivative of 31\/2*l**2 + 0*l**3 + 7\/20*l**5 + 0*l**j - 2*l + 0. Differentiate v(i) wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 times -13105.86?\nAnswer: 3866228.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -672, -1344, -2014, -2682, -3348, -4012?\n\"Answer: a**2 - 675*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u. Let j(h) = 2*h + 6*h - 6*h. Let o(t) = f(t) + 14*j(t). Let x(q) = -q. Give x(o(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 - 282*g - 2376 = 0. What is g?\nAnswer: -132, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = s + 8*k + 5, 0 = 2*s - 3*k + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let t be (-1*(-2 + 4))\/(-2). Let r(p) = p**2 - 5. Let n(c) = 4 - 4 + 4 - 3. Let o(j) = t*r(j) + 5*n(j). What is o(b(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5998 in 4\/7, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4104+0.94\nAnswer: 4104.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - b - 85660 = 0, -42877 - 64223 = -5*h - 5*b. Round h to the nearest one hundred.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhwhwhhhtdhhhhthh. Give prob of sequence dtw.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -578776 + 27?\nAnswer: -578748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, 1\/5, 14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8394 divided by -2798\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11888 divided by -1\nAnswer: -11888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/42 + (-12)\/(-7). Let c = m + -4. Let g be (1 + c)*(-2 + 0). Solve 0 = 5*i - 3 - g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + 3*s**2 + 3*s. Let n(b) be the third derivative of b**6\/40 + b**5\/60 + b**4\/12 - 3*b**2. Give 5*n(f) - 2*w(f).\nAnswer: f**3 - f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 - 10\/(-30) - -2189997. What is g rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1482712 by -6391.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010366 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*j + 7864 = -3731 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 7616 - 4*u**2 + 2*u**3 + 4833 as s + h*u + k*u**2 + y*u**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**3 + u**2 + 4*u - 7. Let f(h) = 5*h**3 - h**2 - 3*h + 6. Calculate -4*f(d) - 3*x(d).\nAnswer: -2*d**3 + d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o + 2. Let n be t(1). Let g(s) = -2*s + n*s + s + 0*s. Let j(d) = -3*d. Calculate j(g(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l - 19*l - 16*l + 18*l.\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -539*g**4*t - 2324*g**3*t - 7*g*t + 7*g + 2*t + 4981 wrt g.\nAnswer: -6468*g**2*t - 13944*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2190936 is divided by 761?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r**(-2\/5)*r**(2\/3)*r**(1\/6))\/((r*r*((r*(r**0*r)\/r)\/r)\/r)**(11\/4))**46 assuming r is positive.\nAnswer: r**(-1954\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 4*w + 250. Suppose 3*t + w*j - 328 = 8*j, 3*j = -5*t + 508. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 23159808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2. Let h(p) = -9*p**2 + 4*p + 6. Let i(s) = -h(s) + 4*y(s). Is i(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16431173\/140 - 117365. Calculate the common denominator of s and 11\/700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-273))\/((-10)\/108*-3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -467.2 + 463.2. Sort -4\/7, 2\/93, f, -0.4.\nAnswer: f, -4\/7, -0.4, 2\/93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 2*i**4 + 3*i**2 + (2 + i**2 - 2)*(-3*i**2 + 2*i**2 + 2*i**2) - 1345*i**4 + 206326*i - 206326*i.\nAnswer: -1346*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -943.12 - 9.88. Let n = 957 + v. What is the second biggest value in 0.2, 0.19, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfffqfwffqfwwqff. What is prob of sequence fqqq?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - -16. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22905.121 + -22919. Let c = g - -0.079. Round c to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12*15*10. Let f be -1 + (24\/2 - -1). Suppose -l + f = -2*q, 2*l + 3*q = -0*q - 4. Solve -23 = w + l*p, 0*w + b = -5*w - 2*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9367 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039 + 1039 = 156*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 1\/3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 56*b + 17. Is r(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 52, -5, 555.9, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 0*m**3 + 0*m**3 - 50*m**2.\nAnswer: -m**3 - 50*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiiooik. Give prob of picking 3 i and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 3*m**3 - 14*m**3 - 23*m**3 - 5*m**3.\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 513.352936 to one decimal place.\nAnswer: 513.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:31 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 53. What is the smallest common multiple of (-12)\/42 - (s\/(-7))\/2 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 59*b - 59*b + 0*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0, -4, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 6 - 6)*(0 + 1 - 3)*(1038*r**2 - 2008*r**2 + 1308*r**2) in the form p*r**3 + j*r + g*r**2 + a and give p.\nAnswer: -2704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 16*f - 34. What is u(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 25. Let k be o(5). Let i(r) = r**3 + 2*r**2 + 2*r + 56. Does 4 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + u = -12, 3*u = -q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*z - 45 = 0, -4798*t - 2*z = -4800*t - 38 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32 - -2)*1\/1. Let q = -153\/5 - p. Sort 0.4, 5, q, -3.\nAnswer: -3, q, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23735*o**2 + 23738*o**2 - 6 + 2*o**3 + 2 as c*o**3 + j*o**2 + p*o + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 110*q - 448. Let d be z(4). Is d > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266824*(-21)\/(-56) + -16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523 is divided by 924?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/140 + 3*s**6\/40 - s**5\/5 - 121*s**2. Factor g(n).\nAnswer: -3*n**2*(n - 4)*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 30 = -89 - 167 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1*26*3\/(-78)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2, -23.8, 0.078, 1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 3, k: 5, z: 2}. Give prob of sequence koo.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 78.2, -0.47, 0.46, 0?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 10*a**2 + 11*a + 29. Let f be h(-9). Let k = -10 + 14. Calculate the lowest common multiple of k and f\/2 + -3*(-6)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/120 - w**5\/40 + 2*w + 1. Let k(n) be the first derivative of v(n). Factor k(g).\nAnswer: g**3*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -1 (b) 0.2 (c) 3\/4 (d) -3 (e) 350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2904.4 * -57.\nAnswer: -165550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k + 11*k - 43 - k + k**2 - k. List the prime factors of j(-21).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)*o)**(1\/26)\/((o\/o**(3\/4))\/o**(-6))*((o**(2\/7)*o)**(-39))**41 assuming o is positive.\nAnswer: o**(-750593\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132*x + 355 - 355)*(2*x**2 - 3*x**2 + 2*x**2) as u*x**2 + n*x**3 + h + k*x and give n.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:13 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -10676 and -53376\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01308 and -4.\nAnswer: -3.98692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/27)\/((-9)\/(324\/(-10)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12044.12794 - 12044. What is r rounded to 3 decimal places?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3071855 = -3071852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 t when three letters picked without replacement from {v: 6, m: 3, b: 1, t: 4, j: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 12 + 4. Suppose -y*v + 924 + 536 = 0. What is v rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*q - 26 = 0, 0 = -4*g - 0*g + 4*q + 136. Suppose 0 = -4*j - g + 8. Let v(b) = -b**3 - 4*b**2 + 8*b - 1. What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22445876 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*m**3 + 0 + 5\/2*m - 3*m**2 = 0. What is m?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7545 and -0.136.\nAnswer: 0.102612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/7))**2\/(y**(-30)\/y**(-7\/4)))**(2\/63) assuming y is positive.\nAnswer: y**(743\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 6. Suppose -x + 1 = -9. Calculate the least common multiple of d(-2) and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 601.7976 litres?\nAnswer: 601797.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/5 - 5260188*y\/5 + 2305798149612\/5 = 0. What is y?\nAnswer: 876698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Let b(u) be the third derivative of -u**6\/120 - u**5\/60 + u**4\/24 + 11*u**2. Let k be b(p). Solve k = 3*n + 6 + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003413398 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -10*345\/(-150)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - 5*q = -26*v + 1182, -3*v = -3*q + 1206. Let d = 401 + v. Factor 18\/7*n**3 - 36\/7*n**d + 24\/7*n - 3\/7*n**4 + 0.\nAnswer: -3*n*(n - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**25\/((q**7*q)\/(q**5*q)) assuming q is positive.\nAnswer: q**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71, 156, 235, 302, 351?\n\"Answer: -t**3 + 3*t**2 + 83*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhterkk. Give prob of picking 2 k, 1 t, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469932?\nAnswer: 2, 3, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let x(l) = l + 13. Let k be x(-11). Let w(j) = 2 - 3 + 1 - k*j. What is i(w(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 59, -2778, -2 in increasing order.\nAnswer: -2778, -2, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, -1, 1414 in descending order.\nAnswer: 1414, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5855907161.\nAnswer: 13, 31, 14530787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*((m - 2 + 2)*(2 - 2 + 2) + 211*m - 562 + 562).\nAnswer: 426*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 868.0000834 + -868. Round p to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 7*s**2 + 7*s + 1. Let b be m(-8). Suppose 0 = -6*y + 5*y - b. Let z(f) = f + 12. Is 2 a factor of z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 550 = 5*o - 538 + 336, -4*o + 3*v = -48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 21*b - 32. Let j be k(-19). Let o(y) = -41 + 15 - y + j. What is o(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35292*a**2 - 105755 wrt a.\nAnswer: -70584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2955482475 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 519056*l**2 + 4200822.\nAnswer: 1038112*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2889 and 228766?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-1)\/(-1)*-1. Suppose -25 = -v*p - 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3728 or -3735?\nAnswer: -3735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10*200\/120.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:31 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(2\/(-10)). Let c = o + 2. Let k = -31 + 36. Solve i - k*v + 4 = c, 5*v - 1 - 2 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4779000 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*g**3*r**2 - 9*g**3*v + 5*g**2*r**2 - g**2*r*v - 20*g*r*v + 2*r**2*v wrt g?\nAnswer: -120*r**2 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 24799*g**2 - 6*g - 5. Let a be x(-5). Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + -9. Let u = -11 - h. Let w = u - 7.9999922. Round w to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 55\/3. Let n = 0.25 + -0.16. Which is the nearest to f? (a) -0.4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)**(-25\/3)*(t\/t**1)**28)\/(((t\/((t**(1\/3)\/t)\/t)*t)\/t*(t**0*t)\/t)\/((t*t\/(t*t\/(t*(t**(-5\/4)*t)\/t)))\/t**(2\/7))) assuming t is positive.\nAnswer: t**(-269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 6*w. Let v = -2 - -2. Suppose 4*n = -v*n + 20. What is r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/230 and ((-14)\/(-8) + -2)\/(1012\/(-2266)).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 - 449.09. Let y = z - 2. Let i = -4.91 + y. What is the second smallest value in i, -1\/2, 13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.2. Let p = 28 + -23. Let f be (-25)\/(-15) - (-3 + p). Which is the nearest to f? (a) s (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1044940*f + 20. What is v(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Suppose 4*j + l = 5. Let t(y) = -y**2 + 0 + y + 2 - j - 5*y**3. Calculate t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, 3, 2 in descending order.\nAnswer: 5, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4214946)\/1032)\/527)\/((2\/8)\/(-1)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x - 42 = 86*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*f - 227 = 0, -5*u - 2*f + 325 = -4*f. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*z**3 - 987*z**3 + 0*z + 0*z + 4.\nAnswer: -4*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 611968, 611868, 611598, 611074, 610212, 608928, 607138, 604758?\n\"Answer: -14*k**3 - k**2 + k + 611982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, 4\/3, -9.91687?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20 - 28\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126469 = -37*t + 86*t. Which is smaller: t or -2584?\nAnswer: -2584","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 293446.\nAnswer: 293446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -249 - -251 - (1 + 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 36 = 2*y, y + 26 - 16 = k. What is the highest common divisor of 5726 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.122 + 0.278. What is the closest to -1\/6 in w, -6\/11, 0.5, 1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 - 8*q + 7. Let n be u(-8). Let a = 11 - n. Factor 4*s + 20*s**3 + 0*s - 2*s**4 + 3*s**a - 7*s**4 - 18*s**2.\nAnswer: -2*s*(s - 2)*(s - 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-71 - -75)\/(-2 - -1). Let r(u) = u**3 + 3*u**2 + 2*u + 26. Let i be r(t). Solve -2*n = 4*s, s = 4*s + n + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l - 4. Let v(u) = 71*u - 27. Let x(i) = 6*k(i) - v(i). What is x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48660 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3590 - 1614. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 1. Let g = 3 + -12. Suppose -4*l - l = 25. Let c = l - g. Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = 0, 0 = -5*j + q + 28 - 2. Calculate the remainder when 9 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 + 7 + 83*o - 253*o in the form s*o + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11 - 16 + 27 + j. Let z(i) = 5*i. Determine 6*c(s) - z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -240, -491, -744, -999, -1256?\n\"Answer: -d**2 - 248*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19304, 19260, 19216, 19172, 19128?\nAnswer: 19084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 15040?\nAnswer: -15067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-3 + -5 + sqrt(76)\/sqrt(4) + -3 + -1*(sqrt(475) + sqrt(475)*1 - (sqrt(19) + sqrt(19) + sqrt(475) + 4)))**2 + -5.\nAnswer: 40*sqrt(19) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, z: 4, h: 1, y: 5}. What is prob of picking 1 z and 2 y?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -37*l**3 - 2*l - 242*l**2 - 1 + 131*l**2 + 109*l**2. Suppose -3*x - 5*t - 1 = -18, 3*x + 15 = 3*t. What is the units digit of k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y + 33. What is the tens digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151.3 - 16.3. Let n = -133 + l. Which is smaller: n or -0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 143 = -0*d - 4*d, -3*d + 4*f = -108. What is the first derivative of -105 - 22*t + 21*t - d*t - 16*t wrt t?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*o + 0 - 12*o**2 - 182\/15*o**3 - 2\/15*o**4 = 0. What is o?\nAnswer: -90, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6.4. Which is the third biggest value? (a) 4 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 14. Let n(j) = -15*j - 37. What is the units digit of n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + c = 3*r, 0 = -5*r - 2*c + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5117\/903)\/((-3)\/(-9))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1126. Give h(12).\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 174 - 57 - 58 - 60. Let s(u) = -3*u - 18. Let n be (1 + -2)*3*6. Determine n*b(x) + s(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237024 and 197520?\nAnswer: 1185120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16610?\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 - 15 = 0. Let q(i) be the second derivative of -13*i**3\/6 - 9*i**2 - i + 2. Is q(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(32\/5)\/(-4). Let j = r - -9. Calculate the greatest common factor of 8 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215847 and 1044?\nAnswer: 863388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -38\/61, 0, -0.5, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18.47 (b) -3 (c) 4 (d) -1544 (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 232?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 31*b**3\/3 + 23*b + 37. Find the first derivative of t(v) wrt v.\nAnswer: 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**3 - 4*g**2 - 4*g + 5. Let x(d) = 4*d**3 + 4*d**2 + 3*d - 5. Let a(h) = -5*p(h) - 6*x(h). What is the remainder when a(4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*s**4 - 4*m*s**3 + 30*m - 2*s**3 - 5 wrt s?\nAnswer: 8*m*s**3 - 12*m*s**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-64))\/(4470\/(-60792)))\/(4\/(12\/9)).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p**2 + 11*p - 7. Let r(j) be the second derivative of 7*j**4\/12 - 5*j**3\/6 + 2*j**2 - 13*j. Let n(t) = 7*r(t) + 4*x(t). Factor n(w).\nAnswer: -3*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/21)\/(5\/14). Let o be (-6*(-6)\/10)\/(3\/(-165)). Let u = -194 - o. Is u at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80.6 + 0.3. Let i = 81 - z. Sort 1\/4, -0.2, 0.07, i.\nAnswer: -0.2, 0.07, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040037 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919523903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 2) + 0 - -4. Solve c - 3 = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - b)*(-3*b + 0*b + 2*b)*(0*b - 4*b + 3*b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4 = 3*a. Find the first derivative of a + 1 + 1 - 5 - 3*g**3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -0.2541, 29, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is cb8 (base 15) in base 10?\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915804 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65019 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -0.9. Let x = -2.4 - -2. Let u = x + 0.5. What is the closest to u in o, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:41 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + (-2 - (4 + 7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29379 = -6*u + 26763. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 2 s when four letters picked without replacement from {r: 3, d: 1, s: 4, t: 6}?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 25922?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126132, -252265, -378398, -504531, -630664, -756797?\n\"Answer: -126133*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/4 - 11662*y**2 - 533649181*y\/4 + 121385753931\/2 = 0.\nAnswer: -23543, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7673*k - 24 - 6*k**2 + 162 - 7673*k.\nAnswer: -6*k**2 + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13308, 10572, 7836, 5100, 2364, -372?\nAnswer: -3108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2, -8411, 15, -1 in descending order.\nAnswer: 15, 2, 1, 0, -1, -8411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/(-756))\/(2\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100010011110 (base 2) to base 16.\nAnswer: -489e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1531.4 - 1531. What is the nearest to 0 in -9, q, -41?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41501869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(11) + 0.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3715 - -1504. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 4. Let i = 8 + p. Let s = -8.2 + 4.2. Sort 0.4, i, s.\nAnswer: s, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -385 - -2bab5?\nAnswer: 2b730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1095\/(-8030))\/(18\/(-33))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763669?\nAnswer: 23, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 350823*-0.5\nAnswer: -175411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 13*a = -920 + 965, 3*a = 3*x + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 73. Let l = -50 - u. Suppose -4*g - p = -20, -4*p + 32 = 8*g - l*g. What is the smallest common multiple of 2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 + 534*x - 75. Calculate h(-67).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-520 - 725*x + 1529*x - 765*x)*(-2*x**2 + 4 - 4) in the form w + l*x**2 + r*x + b*x**3 and give l.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.34 + -1.34. What is the closest to 0 in j, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 68. Let c be l(-25). Suppose 94*n - 88*n - c = 0. Let a be (-2)\/6 - 32\/(-6). Solve 0 = -n*m - 1 - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.075 and 4829168485483.\nAnswer: 4829168485483.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 120500 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b + 3*c - 572, 2*c + 552 = 4*b. What is the remainder when b is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 7*a + 42. What is the units digit of n(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -343, -435, -473, -457, -387?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -2.02, -2160, 6 in increasing order.\nAnswer: -2160, -2.02, -0.13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:10 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*y - 2229789 + 2229789.\nAnswer: -110*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.41. What is the nearest to 2\/7 in k, -3\/7, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(52))*-3 - (sqrt(624)*2)\/sqrt(12))\/((sqrt(288) + (sqrt(288) - 1*sqrt(288)))\/(sqrt(6)\/sqrt(3)*6)) + 2.\nAnswer: -5*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -2, 61, 1\/4, -3, -2.5.\nAnswer: -3, -2.5, -2, 1\/4, 61, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:48 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 + 44*v - 9. Give a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (3 + -41 - (46 + -45)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1584)*-2 - sqrt(1584).\nAnswer: -36*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 - (-10 + (23 - -2) - 17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 73*a = 2665 - 2431 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4149 - -8063. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 - -17. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 3*p**2 + 2*p - 4. Let b be x(-4). Let f = 0 + 0. Solve -4*m + 2*r - 17 = -1, f = -b*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 36 = 234*u - 237*u, -54 = m + 5*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + d + 0*d + 35 = 0, -1618*d + 1622*d + 140 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, 3, 0 in ascending order.\nAnswer: 0, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 6. Suppose z*k = 3*d + 225, 2*d + 4 = 6*d. Suppose -v + k = -2*i - 47, -5*i - 285 = 5*v. What is i rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 + 176*j - 9680.\nAnswer: -4*(j - 110)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/4))**(-2\/23)*((o*o\/(o\/o**0)*o*o)\/o)**(-50) assuming o is positive.\nAnswer: o**(-4603\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 2*u + 42 - 80 = -2*q, 13 = q + 5*u for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*s**2 + 9 + 8 + 8 - 7*s**2 wrt s?\nAnswer: 86*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 15*i + 6. Let m be f(-8). What are the prime factors of 7 + (3 + m - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 863241386 and 658.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + 3*h)*(-h + 0*h + 4*h)*(-3 + 0 + 1).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 12*h - 7. Let l be n(-11). Solve l*w + 24 = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236 and 17818?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1220*105.46\nAnswer: 128661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 122*h**2 + 117*h - 175. Let n(q) = -22*q**2 - 23*q + 35. Let f(s) = 11*n(s) + 2*x(s). Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w, w = -3*i - 11 + 32. Suppose -1 = -c - i, -2*c + 198 = 4*j. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 4. Let u = -1 + -1. Let g(h) = -4*h - 5. Calculate u*g(y) - 3*z(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*24*20\/1920?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - ((-37 - 14) + 23)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*p = -p - 7800000, x - 3900000 = -p. What is x rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (105*i**2 + 113*i**2 - 7 - 225*i**2)*(0 - 1 - 1) in the form f*i**2 + o + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 7*o**2 + 8*o + 1. Let d be p(-8). Let n be (-2)\/d + 12\/4. Let v be 0\/(n\/(1\/(-1))). Which is the closest to v? (a) 5 (b) -2\/21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34220897 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 + 5*m + 4. Let k be h(-4). Suppose 5*p - 3*u = 5, u + k*u = 0. Which is smaller: p or 5\/117?\nAnswer: 5\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41575530 a multiple of 2490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(225\/40) + 3. Let m = -0.12 - 0.2. Let w = 0.2 + m. Which is the second smallest value? (a) -2 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (158\/(-8))\/(-6*5\/(-120)). Let d = y - -82. Let s(z) = z**3 + 9*z**2 + 1. Let g be s(-9). Put g, 4, -4, d in decreasing order.\nAnswer: 4, d, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(1\/154) - (25049 + -25058).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*n**3 - 290*n**3 + 5163*n**2 - 5163*n**2.\nAnswer: -876*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y**4 + 2*y + (3 - 3 - 2)*(y**2 + 2*y**4 - y**2) + 3*y**4 - y**4 + 3*y**4 + (-4*y**2 + 4*y**2 + 2*y**3)*(-94018 + 133*y + 94018).\nAnswer: 268*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1844*f - 195078. Give n(-106).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 18*u - 13*u - 7, 5*u - 4*p = 1. Which is smaller: u or -2\/3471?\nAnswer: -2\/3471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17006*s - 17021*s - 5*l = 35, -5*l - 1 + 2 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9596*a**2 + 21*a**3 - 3*a**4 - 9596*a**2 + a to the form j*a + o*a**3 + x*a**2 + q*a**4 + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2156*f + 999 - 4*f**5 + 640 + 2136*f**3 - 2179 - 3224*f**2 - 524*f**4.\nAnswer: -4*(f - 1)**4*(f + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1\/10*-1). Calculate the remainder when 97 is divided by 2\/(-3 + (-62)\/s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -387745 divided by 1?\nAnswer: -387745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/32*12\/(-9). What is the nearest to -2 in -0.4, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(4*10\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/((-1)\/(-1) + 0). Let o be (110\/50)\/((-12)\/180). Let w = o + f. Put -1, 1, w, 2 in ascending order.\nAnswer: -1, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179067*b**2 + 15477*b**2 - 83432*b**2.\nAnswer: -247022*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 407*s + 92281. Give v(-227).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 62*q**2 + q + 2. Suppose 4 = -4*n - 2*u, -4*n + 5*u - u - 4 = 0. Let y be t(n). Suppose 6*f - 13*f - y = 0. Which is greater: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-23 + -1)\/(-3))\/10. Put a, -0.3, -8 in descending order.\nAnswer: a, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4047 - -4044. Let f = -5 + 1. Let d be -2*(1 - (-4)\/(-5)). Sort q, f, d in increasing order.\nAnswer: f, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -l - n, 0 = -5*l - 4*n + 5*n - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -144.3. Which is the fourth smallest value? (a) 2 (b) -2\/9 (c) n (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 0*d**4 + d**4 + 2*d**5 - 3*d**5 + 3*d**5 - d**5 + (-2*d**3 + d - d)*(0*d**2 + 0*d**2 - d**2) + 13*d**5 + 63*d**2 - 63*d**2)*(1 + 1 + 0).\nAnswer: 32*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7352907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15711 is divided by 5237.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3083 and 5.\nAnswer: 15415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001 - 490 - 511 + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 4*i**2 + 4*i. Let b be j(2). Suppose b*x + 316 = x. Suppose -5*m + 564 = -x. What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -1 (b) 1\/6 (c) 15.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5))\/((-630)\/75 + 4)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3*z - 31*x**3 - 20*x**2*z - 64*x**2 + 59*x*z + x - 34*z - 55 wrt x.\nAnswer: 6*x*z - 186*x - 40*z - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 y, and 1 e when four letters picked without replacement from syessyssysrsyqqyy?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48194196 is divided by 4600?\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9101446?\nAnswer: 2, 233, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 894006949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/33 and 65\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 + 5. Let z(w) = -w - 1. Let u = 197 + -196. Determine u*z(h) + 2*y(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -69. Is (6\/m)\/(3\/(-34)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4))**(-3\/4))**(-16)\/(((s\/((s\/((s\/(s**4*s*s))\/s))\/s*s))\/(s*s**(-5)))\/(((s*(s*s**(3\/2))\/s)\/s)\/(s**(2\/11)\/s))) assuming s is positive.\nAnswer: s**(425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j + j - 8*j)*((-j + 1 - 1)*(-4 + 3 + 3) - 4 + 4 + j) to y*j + c + o*j**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 7, -0.4, 2, -375\/4, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 193576.45 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 171 + 255 = 82*b, -6*j + 62 + 54 = 4*b for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 bigger than -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 265 = -29. Let o(f) = -17*f**2 - s + 118. Let j(v) = -3*v. Give j(o(i)).\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 184409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - z + 86 = -4*s, 5*s - 454 = z. Let l = s - 42. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/5 + 177*b**4 - 38895*b**3 - 117749*b**2 - 118104*b - 197136\/5.\nAnswer: -(b - 444)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-109)*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from fmfttklltl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 198766433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 18*p + 10. Let u be s(-8). Let i be 4\/14 + (-2433)\/(-35). Let l = u + i. What is the closest to 0.2 in l, -3, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-18)\/(-288)*(-12)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6069039 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 86. Let n be (2\/4)\/(k\/4)*-8. Solve -c = 2*a + n, 5*c - 4*a - 16 = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1053) + 2 - sqrt(1053))*3*-4)**2 - (sqrt(1872)*-1 - sqrt(1872))\/(sqrt(48)\/(sqrt(12)*-2))*-2.\nAnswer: -2304 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 252 + -251. Let h be -3 - ((-33)\/90)\/(u\/9). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 78055.88 centuries?\nAnswer: 780558.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279131?\nAnswer: 279131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122\/2387 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*c + 256 = -239, 516 = 4*m + 4*c. Suppose 3*r = m + 90. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -289007 - -647887. What is b rounded to the nearest 1000?\nAnswer: 359000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 8. Suppose 0 = 5*g + 25, 3*k - b*g - 1 = 2. What is the closest to -1 in -2\/11, k, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 - -357?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1, -2 in descending order.\nAnswer: 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-18)\/(-108))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 6. Let w(c) = -2456*c - 145. Let a(k) = w(k) - 6*z(k). Is a(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -3*n, 0 = n - 2*n - 4. Let f be w + 1 - (-1 + 2 + -8). Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*i - 449, -3*s + 2*s - 3*i - 128 = 0. Let k be (-3 + 6)*1 - s. Find the common denominator of 81\/2 and (1 - -2)*k\/54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(10\/5). Suppose d = 4*h - 4*x - 10960, 0*x = 2*x. Let p be (h\/2)\/(-3 + 2). Round p to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99061.\nAnswer: 23, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/28653 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/9 - 434*y\/9 - 860\/9 = 0.\nAnswer: -215, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 2308*b - 22880.\nAnswer: -2*(b + 10)*(b + 1144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -53*c**2\/2 + 19*c + 118. Let m be l(-4). What is the greatest common divisor of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22*(3 + (-7)\/2). Let f = c + -9. Solve 3*r + 0*r - 15 = -f*l, -5*l = 4*r - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 0.02 (b) 2381\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 120 = -z. Let y(n) = -n**2 - 5*n - 54. Let o be y(-14). Let b = z - o. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -10. Calculate the remainder when 11 is divided by ((-18)\/12)\/(y\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 - b**4 + 7*b**4)*((b - b - 4*b)*(-1 + 0 + 0) + 0*b + 3 + b - 3*b + 1 + b - 1)*(0 - 3 + 2) + 4*b**5 - 6*b**5 - b**5.\nAnswer: -6*b**5 - 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*c**2 + 17*c**2 - 2*c**2.\nAnswer: -460*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(9\/5) assuming r is positive.\nAnswer: r**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 - 28*l - 1. Let o(j) = 12*j**2 - 49*j - 1. Let y(h) = -7*k(h) + 4*o(h). Let q(g) = -g**2. Give y(q(n)).\nAnswer: 6*n**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4 (b) -16 (c) 3\/5 (d) -1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 11*w**2 - 9*w + 10. Give y(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4715 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 30*b**2 - 20*b + 47. Is j(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5)*25\/(-2). Let k(p) = -p**2 - 11*p - 6. Let h be k(v). Find the second derivative of -37*f + 59*f - 41*f**h + 13*f**4 wrt f.\nAnswer: -336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8143785 is divided by 56554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -3.7. Let x = 1057227\/25 - 42289. Sort -0.5, x, h.\nAnswer: h, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333640.1 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 14 = -2*s, 4*j - 17 = -s. Let v = 1 + s. Suppose v*t - 13 = -t + a, 0 = -4*t - 2*a + 14. Calculate the lowest common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6185 + 12634. Suppose 19*d - l + 1224 = 0. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 1158\/6 - (-37)\/37.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1, -6195, -3, 20, 2 in decreasing order.\nAnswer: 20, 2, 1, -3, -22, -6195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10958.56, 16, 7, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19431 and 14859?\nAnswer: 252603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 + 8*s - 3. Let i be q(6). Solve 2*f + i = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172983186 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 5. Let v be g(6). Let x(b) = 3*b + 4. Let q be x(-3). Let s = q - v. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 + u**2 + u + 2. Let p be w(-2). Let v be p\/6 + 1\/3. Let q(d) = -d**3 - 4*d**2 - 3*d + 3. What is q(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 569 = 3*k, -3*b + 4 = -2*b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8f3 (base 16) in base 15?\nAnswer: a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22279849.\nAnswer: 571, 39019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -697337898 take away 12663?\nAnswer: -697350561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1978 and 182942?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 3*h + 2. Let w(t) = t**3 + 4*t**2 - 3*t - 2. Let d(k) = 2*b(k) + 3*w(k). Is d(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 - 531*a + 5.\nAnswer: -531*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.728 + 8.928. What is the fourth smallest value in 1, 2\/7, m, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 26. Suppose 4*r - 4*n = -0*r - p, 2*r - 3*n + 18 = 0. Put 0, 3, r in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 986*f**3 - 4*f. Let c(h) = -h**3 + 2*h. What is c(k) + v(k)?\nAnswer: 985*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4. Suppose -16 = -2*u + 4*k, 2*k = -2*k - m. Suppose 2*x + 52 = u*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/275*115 - 4. Which is greater: 0.02 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101981 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*c - 135, 3*c - 16 = r + 11. Let t = -17 - r. Calculate the remainder when 27 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y. Let l(v) = -6*v. Let g(o) = 7*b(o) - 5*l(o). Let a be g(2). Suppose 2*q + 1906 = a*m, 968 = m + m + 2*q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(1225))\/((sqrt(7) + sqrt(168)\/sqrt(6))*-3).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 622507.\nAnswer: 4\/622507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1605 (b) -2\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 167296*x**2 - 2675968*x + 10702848.\nAnswer: -4*(x - 41808)*(x - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23690534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-5)\/(-170))\/(15\/10). What is the closest to -0.07 in -2, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38584\/8008)\/((-1)\/11)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 15*k + 13. Let m(h) = -6*h**2 + 15*h - 12. Let f(p) = 5*j(p) + 4*m(p). Let g be f(14). Suppose d + 694 = g*d. Round d to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:19 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1131387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 9, 22827, -2 in descending order.\nAnswer: 22827, 128, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681973 + 218058 - 2*b + 463915.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 26. What is the third derivative of a**5 + 7*a**t - 2*a**2 + 3*a**2 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -30. Suppose 2*n + 3*a = -a, 6 = -n - s*a. Suppose -n*y + 0*y + 36 = 0. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) -206 (c) 3 (d) -0.5 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 3 in descending order.\nAnswer: 3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 16}. Give prob of picking 1 y and 3 n.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 587 - 584. Which is the fifth biggest value? (a) -2\/7 (b) -0.02 (c) 5 (d) -0.5 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5 - 8) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (8\/(-4))\/(-2)*24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:28 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 43*p**2 + 22*p + 5. Let u be h(22). Solve -2*l + l = u*g - 16, -2 = l - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.99 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.71582 grams to tonnes.\nAnswer: 0.00000071582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165781 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.07 (c) -14 (d) 0.5 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -4?\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4889 + 14665\/3. What is the biggest value in -584, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 2. Suppose -14*v = -a*v - 342. What is the second derivative of -7*c + 22*c**2 - v*c**2 + 22*c wrt c?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1495 + -1470. Calculate the remainder when 146 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601217.\nAnswer: 19, 31643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 44\/9 - 14\/3*t - 2\/9*t**2 = 0. Calculate t.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*r - 13. Let s be 4 - (-15 - 0\/r). What is the highest common divisor of 171 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 - 3*m**4 + 979*m**3 + 32750*m**2 wrt m.\nAnswer: -120*m**2 - 72*m + 5874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17660500 a multiple of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -53. Let r be ((-24)\/(-9))\/((-2)\/(-3)). Let b = r - d. Calculate the least common multiple of 14 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(25\/(-5)) - -24. Let o be 1\/(4\/l) + -3. Sort 3\/4, 7, o in increasing order.\nAnswer: 3\/4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 6*s + 8. Suppose 260 - 227 = 3*w. Let l(g) = -4*g**2 + 11*g - 15. Calculate w*u(y) + 6*l(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r + 27. Suppose -r = -3*v + 39. What is the remainder when v is divided by ((-45)\/(-12))\/(3\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 10344 = -12*x + 4*y, 5*y + 15514 = 3*x. Is x a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -362 + 111?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3447256807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16\/295 - -22651\/1180. Let j = 6\/8053 - -3478578\/426809. Let d = -13917\/1961 + j. Find the common denominator of w and d.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402*g**2*x**3 + 1920*g**2 + 457*g*x**3 - g*x**2 + 175*g wrt g.\nAnswer: -804*x**3 + 3840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -61) + -2 + -27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 2643.\nAnswer: -14\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1597661088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2\/9, 5, 2\/3, 3346, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22158.\nAnswer: 2, 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -19. Let h = 591 + l. Calculate the greatest common divisor of 67 and h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419 is divided by 301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6976*a - 27892. Give d(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1\/2 - (-5)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/26)\/(12\/(-39))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 7, b: 3, e: 2, f: 4}. What is prob of picking 2 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4 + 1046. What is the highest common factor of 30 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1367877.\nAnswer: -5\/1367877","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -115*s + 43*s + 46*s. Let a(h) = 6*h. Calculate a(o(i)).\nAnswer: -156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1224*u**2 + 1119*u + 108. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 10\/3*y**3 - 24*y - 1\/2*y**6 + 0*y**5 + 0*y**2 + 0 + 0*y**4. What is the second derivative of v(k) wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*n + 9, -3*b + 9 = n - 3*n. Let w(r) = -5*r. Let s(q) = 5*q - 1. Determine b*w(x) + 2*s(x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - (-2 + 2 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(360)\/sqrt(128))**2 - (sqrt(315) + (sqrt(315) - 3*(sqrt(315) + sqrt(315)*3)))\/sqrt(7).\nAnswer: -135\/16 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-22 - -4) + 28 - 55?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 56.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 19 - 3 - 17*j**3.\nAnswer: -17*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -272?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 38. Let b be g(15). Let y(r) = r - r**2 - b*r - 443 + 440. Let c be y(-5). Solve 20 = c*z - 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1*-2 - sqrt(96))\/sqrt(8)*3)\/((-2*sqrt(144))\/sqrt(6)*5).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 61*x - 24. Let f be b(-31). Let g(v) = v**2 - v - 39. Let k be g(f). Factor 1\/3*c**2 + 0*c - 1\/3*c**k + 0.\nAnswer: -c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9327081 is divided by 1429?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 2. Suppose 3*k + y = 4*k - 3, 0 = k + 2*y - 6. Let r = 0 + k. What is the nearest to 0 in j, r, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 16*g + 19. Calculate v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106*h + 6646*h - 1129*h - 1108*h - 1096*h - 1129*h - 1136*h.\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let a(q) = 2*q + 9. Suppose 2 - 11 = 3*n. Let l(c) = n*o(c) + a(c). Let z be l(12). Is 0 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 5533.\nAnswer: 5533.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**2. Let v(k) = 3*k - 25. Let i(g) = -6*g + 45. Let n(h) = -5*i(h) - 9*v(h). Calculate n(p(u)).\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 13. Let o = 0 + -2. What is the nearest to o in h, 0, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*h**2 - 2*h**3 + 468819489*h - 468819489*h.\nAnswer: -2*h**3 + 124*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(3*4\/36*3). Let o(z) = 6*z**2 - 4*z - 7. Let m be o(-5). Suppose -5*d = -m - 97. What is the greatest common divisor of d and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295734218 minus 0.03107?\nAnswer: -295734218.03107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (-16)\/96?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -17.\nAnswer: 16.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.217 + -87.217. Let d = v + -2. Let l = -125 - d. Which is the third smallest value? (a) -5 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 78 = -202 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294*u + 36213 = 12921. Suppose -2*z = 3*z - k - 23, -4*z + 28 = 4*k. What is the remainder when u is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 11 = 11*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4\/5 - 122*d**3\/5 + 386*d**2\/5 - 208*d\/5 - 216\/5 = 0.\nAnswer: -1\/2, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 6*z - 4 = 0, -160*o + 157*o + 4*z - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 12 = 0, k + d = 4*d + 72. Which is the closest to 2? (a) k (b) 1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g**2 - 68*g**2 - 6749*g + 6749*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)\/(6\/(-30)). Let p(f) be the third derivative of f**4\/12 - f**3\/2 + f**2. Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -452038, -904091, -1356144?\n\"Answer: -452053*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104503349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -1, 911, -2, -58\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 31*y - 33825 + 11275 + 11282 + 11321. Give o(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus -263?\nAnswer: -262.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i**3 - i. Calculate y(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.018 + -0.033. Let v = 19.051 + k. Let j = -18 + v. Is j bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 68*n + 36*n - 24*n)*(1 - 2 - 1)*(-1 - 1 + 0) - 1 + 1 - n.\nAnswer: 319*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**3\/3 + u**2\/2 - 4*u + 1. Is y(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -354ad + 382?\nAnswer: -3512b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 967.7.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/333 and -10\/62598117.\nAnswer: 187794351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -35*a + 36*a. Suppose 0 = -44*c + 49*c - a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24047 (b) 2 (c) 16 (d) -0.3 (e) -1\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1 + -2 - (sqrt(891) + -1)) + (4 + 0 + sqrt(11) + 4)*-1.\nAnswer: -9*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + 1)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s**1\/s))**(-16)*s**4\/s*s**(-3))\/((s*s**3\/s*s*s)\/(s\/s**(2\/11))*s**(-4)\/(s\/s**(-3\/8)*s)) assuming s is positive.\nAnswer: s**(-4031\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 2, r: 2}. Give prob of sequence wb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725955 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3903, 6.1 in increasing order.\nAnswer: -3903, 1, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 52*p**4 + 54*p**4 + p - 9*p**2 in the form y*p**2 + k*p**4 + l*p**3 + i*p + f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305*(-2805)\/45628)\/(3\/8).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, -1, 1, 2 in decreasing order.\nAnswer: 2, 1, 0.25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81360 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 27 = -25. Let s = -55 - -92. Calculate the remainder when s is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8613\nAnswer: -1\/2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2 + 14. Let o(a) = -a**2 + 3. Let k(h) = 6*c(h) - 28*o(h). Let v(j) = 144 - 317 + 173 - 5*j. Calculate k(v(b)).\nAnswer: -200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 194 - -58052?\nAnswer: 58236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*n - 339 = -0*b, b + 2*n - 117 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/64 and 65\/10791244?\nAnswer: 172659904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 94*g + 7. Let c(v) = -93*v - 8. Let l(t) = 7*b(t) + 6*c(t). Let w(q) = -q**2 - 379489 + 379489. What is l(w(m))?\nAnswer: -100*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.08 + 0.08. Which is the closest to 0.3? (a) q (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q**2 + 2*q**2 - q**3 + 6*q**3 - 4*q**3 + 2*q**3 - 2*q**3 + 2*q**3 + (0 + 3 - 1)*(5*q**3 - 2*q**3 - q**3) - 1 + 1 + 4*q**3)*(1 - 1 - 2*q).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7358, -14715, -22072, -29429?\nAnswer: -36786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 364*t**2 + t + 1. Suppose 4*m + 8 = 8*m. Is u(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 155*c + 4894. What is w(-31)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*c + 189 - 245 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - t + 14 - 93 = 0, 4*t - 223 = -3*w. Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + 3*q**4 + 5*q**4 - 2*q**3 - 54*q**2 - q**4 + 54*q**2 + (-3*q**3 + 4*q**3 - 5*q**3)*(-29*q - 26*q + 28*q).\nAnswer: 110*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f - 45*f - 37*f)*(5 - 4 - 3).\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 435785 < 435785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - p = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1708*t - 8130 + 10467 = 15713 + 24200 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 4*s**2 + s + 3. Let m be u(-3). What is the third derivative of m*r**2 + 3*r**5 - 3*r**5 - 94*r**2 + 6*r**6 wrt r?\nAnswer: 720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*m**2 + 9*m - 6.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 - 16. Let t(a) = a**3 - 3. Suppose 4*j - 1 = y - 17, j = 3*y - 15. Calculate j*d(w) + 16*t(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.99135 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7911 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5 = -3*k. Let m = 2.1 - 2. Let a = 46 + -50. Put a, k, m in descending order.\nAnswer: k, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209.7 - 208. What is the closest to 1 in d, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4137001*a*r**3 - 3687*a*r**2 - 2*r**3 - 5*r - 40 wrt r.\nAnswer: -24822006*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -30*s + 7. Let f(r) = -30*r + 6. Let i(j) = 6*f(j) - 5*t(j). Let y be i(1). Let u = y + 50. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*g + 599 = -r, 2*r + 5*g - 297 = 0. What are the prime factors of r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-26)\/(-114) - 3\/(-18) and 89\/6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 13) in base 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 8}. Give prob of sequence pr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 (base 15) in base 2?\nAnswer: 10001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*i**2)*(-7 - 5 - 2 - 2*i) as w*i**2 + a*i + y + z*i**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1665\/14, -0.1, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**3 - 4*d**2 - 2*d - 9. Let m(g) = 9*g**3 + 8*g**2 + 3*g + 17. Let r(w) = 11*a(w) + 6*m(w). Suppose -j + u = -7, 0 = j - 3*u - 4 - 11. Give r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -53. Suppose 4*d = 252 - r. Suppose 3*g = 218 - d. Calculate the greatest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16 - (-28)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 58\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2604747267 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*s**3 + 1031*s**2 - 330242 wrt s?\nAnswer: 162*s**2 + 2062*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494820712?\nAnswer: 2, 23, 2689243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0038 and 6632.8.\nAnswer: 25.20464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 + 3*c**2 - 5*c - 5. Let k(y) = -5*y**3 - 2*y**2 + 4*y + 4. Suppose 88*o + 160*o + 136 = -608. Give o*k(u) - 2*j(u).\nAnswer: 5*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - -228. Suppose 3*g + r = -4*a, 4*g = a - 1 + 4. Let i = a + 25. Calculate the highest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 1 + o**2 + 7 - 3 + 8. Let u be f(8). Suppose 0 = u*l - 22 - 32. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502674324 to the power of 1\/2, to the nearest integer?\nAnswer: 22420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25048 + -25040. Solve 5*k = -3*m + 16 + p, -4*m - 5*k = -27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 13*l**2 - 15*l - 327. Calculate v(-14).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199*d*h**3 - 56618*d - h**3 + 430*h**2 wrt h.\nAnswer: 597*d*h**2 - 3*h**2 + 860*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000793596 to seven dps.\nAnswer: -0.0000794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 15. Let g(m) = -m**3 + 4*m**2 - 2*m. Let a be g(q). Suppose -5*d - 4 + 46 = 4*w, a*w - 5*d = 14. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168179509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/1 + 1. Solve -8 - 2 = -m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 - 8*y - 7. Let j be z(-6). Let t = 0.7 - 7.7. Let g = -5 - t. Which is the closest to g? (a) j (b) 0 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (33 + -14) - -18 - 26\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 + -2.1. Let k = 0.06 - -0.24. Let o = -0.1 + k. What is the nearest to -2\/5 in j, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 71, 67, 45, -1, -77?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 21. Let h be 5826\/27 + (-4)\/z. What is the highest common factor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 + 22*f. Let u(x) = 29*x**2 + 61*x. Calculate -3*u(m) + 5*v(m).\nAnswer: -17*m**2 - 73*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*n + 12 + 297, 0 = 5*u + 5*n - 315. Let k(o) = o**2 + 13*o - 13. Let r be k(-12). Let h = u + r. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3344425 - -15?\nAnswer: -3344410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089 and 3214894?\nAnswer: 286125.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l**(2\/13))\/(l*l**(-2\/11)*l**(5\/3)) assuming l is positive.\nAnswer: l**(1574\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2 - 1) + 0. Let m = 3 + i. Solve -4*s + 4*s - s + 2*s - s**m = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) - 21202\/(-180). Let m = k + -1106\/9. Let i = -5 + 7. What is the common denominator of i and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148325 (base 11) to base 10.\nAnswer: 230653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6156626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a - 1. Let c(q) = -2*q**2 + 4*q - 4. Let t be 276\/(-66) + 4\/22. Let j be ((-2)\/t)\/(2\/(-4)). What is j*c(g) + 4*s(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*(-11)\/99*213\/(-28) and -173\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 0*i)*(-3*i + 2*i - i)*(42 + 97 + 308).\nAnswer: 1788*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + 4 - (1 + 5 + 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 518*j**2 + 33540*j.\nAnswer: 2*j*(j + 129)*(j + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11396 = 46*i - 7924. Calculate the highest common divisor of 1785 and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-4))\/13*(-2)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 19*l**2 - 8*l + 21. Let u be 29\/3 - 16\/24. What is the tens digit of g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a factor of 139037322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2016, -12 in descending order.\nAnswer: 4, -4, -12, -2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 395ab0 + 3?\nAnswer: 395ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 601738612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -371.\nAnswer: 5\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 - 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 273861 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -22. Factor -6*k - 5*k**3 - 3*k - 15*k**b - 2*k**3 - k**4.\nAnswer: -k*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 4. Suppose 4*a = 2*j + j - d, -3 = -5*j - 3*a. Factor 0 + 1\/3*y**j + 1\/3*y - 2\/3*y**2.\nAnswer: y*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**4 - 5*q**4 + 3*q**4)*(-38 - 109 + 54)*(-4 + 1 + 1) to i + y*q**4 + v*q**3 + b*q + f*q**2 and give y.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-15) + (-38)\/(-95). Let n(y) be the first derivative of 1\/3*y**2 + 1\/9*y**3 - 2 + a*y. Solve n(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10771.89 - -10728. Let h = 44 + q. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10748110349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008439125 rounded to 4 dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -0.4, 0.04, -8, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20727365147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) 42 (c) 2 (d) 4987 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21880997, -21880969, -21880929, -21880871, -21880789, -21880677?\n\"Answer: s**3 + 21*s - 21881019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153341643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n - 1)*(1 - n - 1) - 3*n + 432*n**2 - 273*n**2 + 884*n**2.\nAnswer: 1046*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/5*(-5)\/(-4). Suppose 4*j = -h - 4*h + 15, -h + y*j + 32 = 0. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 3. Suppose -4*j = b*c - 322 - 785, c - 278 = -j. Suppose -g = 98 - j. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 322. Let i = j - -952\/3. Calculate the common denominator of i and -82\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 7:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4404906 divided by 133482.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -2*q. Let c(d) = d**2 + d + 1. Let p be c(-4). Suppose 3*h - p = -10. What is the third biggest value in -3, q, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h - 2. Let v be g(-7). Let y = v + 2. Let t be (-2)\/(3*6\/(-9)). Is t at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 + 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 44*g + 67. What is the smallest common multiple of j(-16) and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.833 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1.186, -0.4?\nAnswer: -1.186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 665280 and 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2294712 and 70650.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + p = -3, -d - 3*p - 9 = 3*d. Let q = -110.993 + 111. Let b = 0.993 + q. What is the nearest to b in d, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -227 - 344\/9*q + 176\/9*q**2 - 94\/27*q**3 + 1\/18*q**4. Suppose l(k) = 0. Calculate k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1935 - -1949. Solve -b = 3*a + 6*v - 5*v, 4 = -2*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 42\/17, -1 in decreasing order.\nAnswer: 42\/17, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -13*t + 12*t. Let k = t + -9. Let h = 25 - k. What is the remainder when 30 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, o: 1, l: 2}. What is prob of picking 2 l, 1 o, and 1 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 11) to base 9\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 = 8*b. Suppose -b*z = -0*z + 5*z. Solve -4*d - 12 = -5*a, d + 2*a = -3 - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8057 + -8056.99988815. Round r to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*q + 19, -6*q + q - 25 = -5*n. Suppose -83 = -3*j - n*w + 130, 3*j = 2*w + 193. Let f = j + -61. What is the least common multiple of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - (-38)\/8. Suppose m*k - 2*y = -11, -5*k + 0*y - 13 = -y. Let i be 1\/((9\/(-12))\/k). Solve h - 2 = -i*a - 1, -a + h = 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(399\/147)*(1 + 0). Sort 2\/13, -40, b, 5 in increasing order.\nAnswer: -40, b, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n*r*x**2 + 278*n*r*x - n*x**3 + 4*n*x**2 + 305243*r*x**3 wrt x?\nAnswer: -6*n + 1831458*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t - 136*t + 72 = -58*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -5.1. Let z = 8.8 - 6.1. Let p = z + -3. Which is the second smallest value? (a) s (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 183, 173, 171, 183, 215, 273?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67326887 rounded to 2 dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 4979.\nAnswer: -22\/4979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 28 = -5*v. Suppose 3*t = v*t - 3548. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534700?\nAnswer: 2, 5, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*h = -91405 - 112288 + 63725. Calculate the smallest common multiple of 480 and h.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 6*r**2 + 8*r + 10. Let c be p(-7). Suppose -c*x + 171 = -2*x. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1184*q**4 - 879*q**4 + 3139 - 4248 wrt q?\nAnswer: -8252*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18585632 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/25 or -1?\nAnswer: -29\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854122*x - 926944*x - 927185*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-12))\/(26180\/5610). Suppose 1\/4*j**3 - 1\/4*j**2 + s - 1\/4*j = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y - 139. Calculate c(2).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.4256 less than -164854?\nAnswer: -164689.5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 1918 - 47*n + 407*n - 22707 - 11611.\nAnswer: -(n - 180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b + 22*b = 11*b + 14945. Calculate the remainder when b is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.211 - -18.45. Which is the second smallest value? (a) 0.3 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466038 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1921 - 979 - 1109)*(-3*z**2 + 4*z**2 + 0*z**2).\nAnswer: -4009*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*s - 18, -8*j = 5*s - 108 + 107. Which is the fifth smallest value? (a) 0.2 (b) s (c) 0.4 (d) 1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/10)\/(16\/(-10)). Let q = 1116\/13 + -86. Sort r, -0.3, q.\nAnswer: -0.3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 3*n)*(12 + 2 - 7) to x + z*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 3055?\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 8, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 3*i - 8, s = -i + 7. Suppose -2*r + 2*z = -4, 2*z = -3 + 5. Let c be 2\/3 - 2\/r. Solve -j - j + s = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -934\/3 + 6709\/21. Let v be 2\/11 - 4476\/(-1155). Let g = -13\/7 + v. Calculate the common denominator of p and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - c**3)*(-c - 2*c + 4*c) + (60091 - 48*c - 60091)*(c**3 - 3 + 3) to the form i*c + g + x*c**4 + a*c**3 + b*c**2 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 + 2. Let x be v(-8). Suppose -x*r + 401 = 147. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3434*c**3 + 3*c**2 - 3*c - 1. Let k be o(4). Let v = 345329 + k. Suppose -2*h = -34412 - v. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 + a. Let q(h) = 100*h**3 + 6*h**2 + 3*h - 152. Let b(p) = 6*d(p) - 2*q(p). What is the first derivative of b(u) wrt u?\nAnswer: -618*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 9*o - 21. Give a(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -797, -951, -943?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 - 2*x**2 - 2*x**2 + 3*x**2 + 3*x**2 + (-2*x + 2*x + 2*x)*(-1 + 1 + 2*x) + 16*x**2 + 0*x**2 + 13*x**2.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 - -152. Let w = 3 - -9. Calculate the least common multiple of 8 and (c\/(-3) - -2) + w\/18.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1936239 and 3872478.\nAnswer: 3872478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(475))**2 + sqrt(19) + sqrt(19)) - (2*sqrt(171) + 5).\nAnswer: 4*sqrt(19) + 21370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxr when three letters picked without replacement from xrrxrrxxrxxux?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 20\/50 - 10496\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632298 and 10761.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51766 + -29063. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -42, 32, 2, -2, 22 in descending order.\nAnswer: 58, 32, 22, 2, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1023 (b) -0.04 (c) 50\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 166 - -d94d5?\nAnswer: d963b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 21*g**2 - 36*g.\nAnswer: -3*g*(g + 3)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 7 (c) 4 (d) 0.8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 - 190.5. Let m = r - -185.999771. What is m rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d**2 - 4*d + 3. Let a be y(3). Suppose -4*s + 16 = -2*s + 4*c, a = 3*s + 5*c. What is the greatest common divisor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7243228 * 0.08.\nAnswer: 579458.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26885 is divided by 922?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2}. Give prob of sequence kzk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*a**2 + 34*a**3 - 16*a**3 - 17*a**3 - 1 in the form x*a**3 + u*a**2 + l*a + v and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 15*v**2 - 50*v + 412. Let d be s(17). Calculate the highest common divisor of 3528 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44865679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3*2\/4). Suppose 78*n = 83*n - 1020. Suppose 0 = -5*i - 2*a + n, l*i - 72 = 6*a - 2*a. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.893 + -14. What is the second biggest value in k, 0, -4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6869 - -7091. Calculate the remainder when 616 is divided by w.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47833 - 333244\/7. Factor -3\/7*q**2 - o - 138\/7*q.\nAnswer: -3*(q + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1, 5, -3, 6, 2 in descending order.\nAnswer: 27, 6, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 + 477*k**3 + 393*k**2.\nAnswer: 24*k + 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 18768\/2039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4 - 0. Let c(o) = 10*o - 6. Let z(q) = 20*q - 11. Let i(x) = a*z(x) + 5*c(x). Is i(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -897a3 (base 11) to base 16.\nAnswer: -1fc13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55552*y**2 - 45555*y + 2.\nAnswer: -111104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-5) - (-2)\/(-5). Let p = -76 - -107. Suppose -5*v + 58 = -4*x - 11, -r*v + 5*x = -p. What is the remainder when 38 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 2. Let d be -1 - 2 - (-8)\/(-2). Is 2 a factor of k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + (-6)\/8. Let l(o) = -o**3 + o**2 + 2*o - 5. Let q be l(-2). Suppose q*b + 0*b = -2*i - 23, -3*i = -4*b + 9. What is the biggest value in i, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*0.46.\nAnswer: -41.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m + 4*m. Let o be (m\/6*-1)\/((-12)\/288). Let d(g) = 31 - o*g**2 - 31. Let n(j) = 3*j. Give d(n(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11060c1 (base 13) to base 8.\nAnswer: -23702461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154829\/56300 + 1\/14075. Sort 3, -6, w, 1\/3.\nAnswer: -6, w, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(250)*2 - sqrt(250)))\/(sqrt(10)\/sqrt(2)*-3 - (sqrt(5) - sqrt(125))*5)*4.\nAnswer: 80*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 1591.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 0, 2, -1174, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3*h**4\/20 - 14*h**3\/5 + 3*h**2\/10 + 42*h\/5 - 128. What is g in n(g) = 0?\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 9*w**2 - 9*w + 10. Let i be d(8). Suppose -419 = -i*q + 79. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(245)*-1 - (sqrt(245) - (0 + 2*sqrt(245)))) + -2)**2.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*x = 233 - 37, 0 = 5*j + x - 245. Suppose 2 = y - 1. Suppose y*z - j = 56. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 2\/15 (c) 2\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -177 + 168 + 0 + 4 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/170 + -12589\/510. Find the common denominator of l and 54\/737.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.11 (c) 1 (d) 5\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = 3. Let q(j) = j. Let k be q(d). Let v = k - -5. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42277 or 414?\nAnswer: -42277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*g**2 - 1\/10*g + 2\/5 + 1\/10*g**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -29. Let i = y - -21. Suppose -2*d + 10 = -0, -5*d + 235 = 3*o. Calculate the greatest common factor of i and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236534 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -62 - k + 2*k**2 + 3*k - 24*k - 3*k**2. Is 5 a factor of s(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, k: 3, q: 1, e: 2, n: 7}. What is prob of picking 2 e and 2 n?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/10 and (-4 - (-575)\/120)\/(6\/9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/3831 and -77\/354.\nAnswer: 452058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 0*z)*(3 + 2 + 8*z - 5).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 16955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -22. Calculate the remainder when b\/3*(-2 + 8) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -799*r + 16. Let t be (2 + -4)\/(-2) + (-28)\/(-4). Let l be k(t). Let f = -816143\/128 - l. Calculate the common denominator of 73\/2 and f.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 4\/3, 1\/3, -38\/135, 0 in ascending order.\nAnswer: -4, -38\/135, 0, 1\/3, 4\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/35 - 1608\/(-15). Let p(u) = z*u**2 + 117*u**2 + 96*u**2 - 291*u**2. Let x(n) = 4*n**2 - 3*n**2 - 3*n**2. What is p(x(w))?\nAnswer: 116*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13096*m. Let g(l) = -7942703*l. Give -5*g(c) - 3032*h(c).\nAnswer: 6443*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -11 (c) 0.8 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9357.022 micrograms?\nAnswer: 0.000000009357022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 28?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158168 + 160238 = -30*i for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469070123498264.60000008 - 469070024716691. Let j = g - 98781569. Let v = j + -4.6. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2715*t**3 - 23 + 36 - 13 - 2672*t**3.\nAnswer: 43*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -761091 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 7*j. Which is smaller: -14\/19 or j?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/13 - 2*d**2\/13 - 4*d\/13 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 15 = 4*b, -2*b + 3*k + 27 = 0. What is the highest common factor of b and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.357 - 0.043. What is the third biggest value in 0.8, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16984263 or -16984262?\nAnswer: -16984262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 315*t - 1648. Determine d(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-4)\/8 - -6. Let j(i) = 5*i**3 + 3*i**2 - 3. Let q(a) be the third derivative of -11*a**6\/120 - 7*a**5\/60 + 7*a**3\/6 + 3*a**2. Give h*q(t) + 7*j(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 321 = -6*z + 2*z, -2*m + 158 = 2*z. Suppose z*j - 40575 = 59*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(544320\/(-7455) - -73).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 15*p**2 + 25*p + 13. Let a be f(9). Let r(l) = -4*l**2 + 8*l - 11. Let t(u) = 2*u**2 - 4*u + 6. Calculate a*t(i) - 3*r(i).\nAnswer: 2*i**2 - 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 2*p = -16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(66))\/sqrt(6).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3219, 6.8, 3, 1\/3, -4.\nAnswer: -4, -1\/7, 1\/3, 3, 6.8, 3219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 2*p - 2*p)*(-3 + 5 - 1) + 2*p + 0*p + 2*p)*(-5*p + p + 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, 1 c, and 1 g when four letters picked without replacement from gnujujnjnuuucjuu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119040587*r - 119040587*r + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2969, 2963, 2943, 2903, 2837, 2739, 2603?\n\"Answer: -u**3 - u**2 + 4*u + 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69694?\nAnswer: 2, 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/336 and -85\/5043388?\nAnswer: 60520656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 720 - 272 = 0. Let w = -179 - g. Calculate the remainder when w is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25085553023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/9))*f\/((f\/(f\/(f*f*f**9\/f)))\/f)*f*f)**26)**(1\/3) assuming f is positive.\nAnswer: f**(-1430\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (48 - 16 - -7 - -4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a + 12. Let g be u(4). Suppose -3*o = 2*r + 22, -2*o = -g*r + 50 - 14. Let m(b) = b**3 + 9*b**2 - 10*b + 4. What is the units digit of m(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6309, -24\/7, 592?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2421982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 35042 + 27058 = 0. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(2\/155)*(j**(2\/5))**(-23))\/(j**4\/(j*j\/(j**(-5\/3)*j))*(j**(-1\/2))**6) assuming j is positive.\nAnswer: j**(-3509\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 5:43 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (((-14508)\/2639 - 4) + (-6)\/(-87)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.29978404 to three decimal places.\nAnswer: -45.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 7*z**2 + 7*z + 6. Let t be a(3). What is the highest common divisor of 135 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198215, -4\/7, 30, -1\/4, 5 in decreasing order.\nAnswer: 198215, 30, 5, -1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 873514439 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 55587 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {p: 2, h: 2, y: 1, o: 4, k: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 5*c + 3*c**3 + 10*c + 30*c.\nAnswer: 3*c**3 + 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*i = -3, -2*i - 5 = -7*i. What is the smallest common multiple of x and 1 + 12 + -5 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12)*2\/(-4)*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.92 + 0.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.75 and -0.1.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068956942.\nAnswer: 2, 3, 13, 4211, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/8 - (-32 - (-6165)\/120).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31386 is divided by 135.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.008 - 21.008. What is the closest to 0 in 0.2, r, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkckkc. Give prob of picking 1 c and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 210 + 2396*z + 1820 + 1092 + 301 wrt z.\nAnswer: 2396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 - 2942*j**3\/5 - 38004*j**2\/5 - 28008*j - 104976\/5 = 0.\nAnswer: -1458, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 295, 311, -5, -19 in ascending order.\nAnswer: -19, -5, 295, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*h + 6*d - 2*d, -3*h = -d - 32. Solve 0 = -m - 4*m - h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 15. Let o = 190 + -1328\/7. What is the biggest value in 2, o, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l**2 + 1436*l - 2873. Calculate f(2).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 + 8 - (47 + -45). Suppose 2 = -y*c + 58. What is the units digit of 172*4\/c - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:38 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:52 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:49 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/5)\/(14\/7))\/((54 + -97)\/(-774)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-7 - ((-2060)\/206 + 10\/((-80)\/(-808))).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-302 - -307)*((-21)\/(-12) - 2*1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-390\nAnswer: -1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**3 - 10*w**2 - 148*w - 280. Give t(-4).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 13*q. Let t be n(12). Let c be (-4)\/(-8)*8\/(-1). Calculate the common denominator of -17\/3 and (1 - 184\/t) + c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-24)*d**(-1\/20)\/d*d*d**(-9\/5)*d**(-22)\/d)**(-1\/6) assuming d is positive.\nAnswer: d**(977\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 3. Let k(m) = 2*m + 3. Let a be k(-3). Let q = a - -5. Suppose 4*b = 2*s - 16, -3*b = q*s + 2*s + 23. Give g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c + 7. Let v(h) = -h - h - 9*h + 7. Let s(j) = -6*p(j) + 7*v(j). Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1245790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 41. Give k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 0 (c) -5 (d) 3.49 (e) 4\/7 (f) -3\/4 (g) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**2\/2 + 9*w + 2. Let o be n(5). Solve 6*h - o*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 302*y**4 - 351*y**4 - 481*y**4 + (y**3 - y**3 - 2*y**3)*(y + 4*y - 6*y).\nAnswer: -528*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/245 - 2\/(-14)*-1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2294.4607 and -0.4?\nAnswer: -917.78428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2abc + 89?\nAnswer: 2b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5317 - 61?\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 17*y**3 - 2*y**3 + 14 + 5*y**3. Let x(w) = -w + 1. Let m be x(4). Let p(h) = 22614*h**2 - 5 - 2*h + 5*h**3 - 22614*h**2. Give m*u(n) - 8*p(n).\nAnswer: 2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -311*f**4\/8 + 41*f**3\/6 + 15*f**2. Is n(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133304*f*j*w + f*w + 1997*j*w + 349445913*w with respect to j.\nAnswer: 133304*f*w + 1997*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s - 10. Let k(v) = -v**2 - 9*v - 3. Let y be k(-8). Let z be 18\/(-24) + y\/8. Is s bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/2)\/(14\/(308\/(-33))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 412802322197 plus -4.9?\nAnswer: 412802322192.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 18. Suppose u*b - 32 = -8. Suppose -b*m + 20 = m - 5*j, -2*j = -m - 1. Solve -11 = 5*t + m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -228455, -228356, -228257, -228158, -228059, -227960?\n\"Answer: 99*g - 228554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1052575447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -77. Let k = -37 - -38.6. Let f = k + -8.6. What is the third smallest value in l, -1\/8, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/140 + -8 + 29\/4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiklilkibl. Give prob of picking 1 k and 3 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4002 + -5?\nAnswer: 3775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1 - 14)*1. Let r = 11.7 - 12. Which is the third smallest value? (a) r (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - w = 43, -4*v = 2*w + 364 - 318 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*-0.9385952.\nAnswer: 40.3595936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 7926*d**3 - 1460*d + 153 - 7874*d**3 + 4*d**4 - 12*d**2 - 1553 = 0.\nAnswer: -10, -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63453 divided by 30?\nAnswer: 21151\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 902735?\nAnswer: 902745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 14. Let h be m(0). Suppose 4*n - h = 2*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 9676c?\nAnswer: -9676e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 23 + 35 = 11*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29550524 and -9350250.\nAnswer: -38900774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) 28 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00117335569 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1121 - 1111 - (1 + (1 - 11 - 1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7218 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Let m be g(-5). Suppose -77*h - 627 + 2146 = -175. What is the remainder when h is divided by m\/(-3) + (-35)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0.1, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 - 2*c + 2. Determine b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(((y*y\/(y**11*y))\/y)\/y)*y**(-7\/4))**33)**(48\/11))**48 assuming y is positive.\nAnswer: y**77760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*w + 5*w. Let z be 2 + (2 - (0 - w)). Let c be 7\/(z\/(-30)*-2). Round c to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/12 - u**4\/4 - 2*u**2. Find the second derivative of g(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1188.969 and 939619.\nAnswer: 938430.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l. Suppose p = c - 8 - l, 4*c - p - 35 = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7748\/745)\/((-13)\/15 - -1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 18*b + 2. Let p(r) = r - 17. Let m be p(-14). Let l = 20 + m. Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.06 (b) -5 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288)\/(sqrt(972)*-5 - sqrt(972)))\/(sqrt(432) - (sqrt(432) - sqrt(432)*-3)*-5).\nAnswer: sqrt(2)\/6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a**3*q**3 + 2*a**3 - 2*a**2*k - 33*k**2*q**3 + 2*k**2 wrt q.\nAnswer: -18*a**3*q**2 - 99*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.049 + -29.951. Let u = 0.04546 - -27.95454. Let b = u + d. What is the closest to 2\/7 in -4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -57.\nAnswer: -10\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(0 + sqrt(192))*1 + (sqrt(192) + 1 + 5)**2 + 4*(sqrt(192) + -2) + -2.\nAnswer: 120*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/9 - 2\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/9 and 145\/27618?\nAnswer: 82854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 0*h - 2*h + 7*h - 11*h**2 as t + g*h**2 + f*h and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 22*q**2 - q - 17. Let h be s(-22). Let m be 1 - (3 + 84\/(-2)). Calculate the greatest common divisor of m and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 6*-5*(-4 + sqrt(242) + 0 + sqrt(242))*5)**2.\nAnswer: -88560000 + 15840000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttwt. Give prob of picking 1 t and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 24, 34, 48?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 25*s**2 - 56*s - 6. Let m be v(-27). Suppose x + k - m = 4*k, -4*x + 5*k = -192. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 8, o: 1, n: 8, z: 1}. Give prob of sequence nuz.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10019368 to the power of 1\/2, to the nearest integer?\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o - 3*g = 9, 5*g = o + 27. Let a = 11 + o. Find the third derivative of -2*n**3 - n**2 - a*n**2 + 6*n**2 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*x**2 + 2*k**2 + 6*k*x**4 - 5*k*x + 3*x**4 - 11*x wrt x.\nAnswer: -4*k**2 + 72*k*x**2 + 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-17)\/(-12))\/((-156)\/16 + 9) and 71\/124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*v = -6, -2*q - 3*v = -11 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27045 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h - 8*h + 39 - 317 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -26. Let n be (-3)\/(v\/(-8)) - 162. Let x = -39 - n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 232, 410, 660?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250 - 245. Suppose -5*t - 4*g = -3707, g + 3451 + 266 = u*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -0.2 (c) -3 (d) 0.5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - 6 - (17 - 3) - -19. Solve -2*o + a*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*i. Suppose -12 = -r - 2. Solve -r = -i*u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/3, 4\/21, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5978*l**5\/13 + 24738*l**4\/13 - 21108*l**3\/13 + 1940*l**2\/13 + 462*l\/13 - 54\/13 = 0. Calculate l.\nAnswer: -9\/61, 1\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 8*s. Let z(x) = x**2 - 7*x + 7. Let c be z(6). Let d be (-1)\/1*c*9. Is v(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 16) to base 15\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1488 by -143.\nAnswer: -1488\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:56 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019766, -1019723, -1019680, -1019637?\nAnswer: -1019594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 105. Let v = -76.918 - i. Let d = v - 0.035. Round d to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.03? (a) 218 (b) -6 (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 - 157. Let r be ((-82)\/(-10))\/(n\/(-430)). Let u = r - -100\/29. Calculate the common denominator of -95\/18 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006439203 plus 0.0801?\nAnswer: 0.073660797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -4*f, 3*f - 20 = 3*x - 5*x. Suppose -3*o + 7 = f. Suppose r - 2*r + o = -3*p, -3*r - 2*p = -47. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 508497776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0698 * -1.8.\nAnswer: 0.12564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)\/o**(-8)*o**(-3\/7)*o*o\/o**(-5)*o assuming o is positive.\nAnswer: o**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3104855, -3104865, -3104889, -3104933, -3105003, -3105105?\n\"Answer: -d**3 - d**2 - 3104853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/(-91))\/((72\/(-9))\/(-8)))\/(40\/4)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29730278697659 + 0.2.\nAnswer: 29730278697659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrzzzxzkzzt. What is prob of sequence rzx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/272 and 103\/224.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 358\/5?\nAnswer: 358\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**2 + 4*a + 4. Let p be 416\/221 - 6 - 2\/(-17). Let t(r) = r**2 + r + 1. What is p*t(h) + k(h)?\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17523 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/9 + 140*k**3\/9 + 298*k**2\/3 + 1360*k\/9 + 608\/9 = 0.\nAnswer: -4, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661.99 greater than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 10*k + 48 = -12*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*g + 6021 = 0, -8*g - 2012 = -s - 10*g. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621810248 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 247, 219, 173, 109, 27, -73, -191?\n\"Answer: -9*g**2 - g + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 20 + 0 + 6 + 9 + 10.\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3866 - -27060\/7. Which is the nearest to 1? (a) t (b) 4 (c) -0.9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -4. Let i = 28\/3 + -215\/24. What is the closest to h in i, -3\/5, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.04 + 2.04. What is the nearest to -2 in 0.4, g, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 15413490256.\nAnswer: 15413490256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46633363*r**3 - 3*r**2 + 16562386*r + 1?\nAnswer: 279800178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -64, -71?\n\"Answer: -7*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -848834181 - -848834910.00000695. Let g = m - 729. What is g rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1743 divided by -1.\nAnswer: -1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 0.5 (c) -404 (d) -3 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/(3 + -1 - 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 20. Suppose g - h = -2*g. Let u be 1*(0 - 1)*(-2 - -1). Calculate the greatest common factor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 17. Let f be 68\/(-238) - (-4)\/l. Solve -2*h = -f*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let x = 8 + h. Let q = -3.99932 + x. What is q rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*t + 4, 3*p = -5*t + p + 5. Let b(z) = z**3 + 5*z**2 - 3*z - 2. Let f be b(-6). Let d be (25\/f)\/((-2)\/8). Sort 2, d, t in descending order.\nAnswer: d, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 4*c**3 + 4*c**3 + (0*c**2 + c**2 + 0*c**2)*(-c**3 + 0*c**3 - c**3) - 3*c**5 - 4*c**5 + 6*c**5 - 3*c**5 - 5*c**5 + 6*c**5 - 60*c**5 - 116 + 116.\nAnswer: -66*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -26*w**2 + 56*w. Let n(v) = 13*v**2 - 30*v. Give -5*n(k) - 3*o(k).\nAnswer: 13*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:16 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p**2 + 2*p**2 + 14*p**2)*(-21 + 21*p + 21) to the form b*p**3 + o + x*p**2 + u*p and give b.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w. Suppose -z + 4 = c - w*z, -3*z = 2*c - 13. Let n be (-24)\/(-9) + -1 + c. What is the smallest value in 3\/2, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 17 - 9. Suppose -k*q = 2, 0*v - v - 5*q = -12. Let w be -1*17*(-4 - -1). What is the greatest common factor of w and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -x + 42, -3*x - 2*w + 112 = -w. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 10*z - 28 = -7*z, -5*i - 5*z = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332000102 + -203101?\nAnswer: 331131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + 0 - 4 - -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 + 3*y**3 + 232*y**4 - 240*y**4 + 82*y wrt y?\nAnswer: -96*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -685 - -708. Let y be (3 + -4)\/(1\/(-2)). Calculate the common denominator of -2*1 - u\/y and 23\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 0. What is the smallest common multiple of 2*(-54)\/48*24\/(-9) and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 14*k**2 - 12*k - 11. Let g be 3\/(5 + 185\/(-50) + -1). What is the hundreds digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -10 (c) 2 (d) -0.7 (e) 1\/4 (f) 2\/11 (g) -243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3105 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12867854543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88.3 - -88.297407. What is c rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32409055 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61964 or -61963?\nAnswer: -61964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 + 4*d + 18. What is j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 7442 + 17518 = -3*l. What is the remainder when 3333 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -26*a**3 + 8*a - 19. Let r(y) = -157*y**3 + 52*y - 114. Let t(c) = -6*r(c) + 39*v(c). What is the derivative of t(f) wrt f?\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1077 + -1078. Let t be -1 + 1 + (-65)\/208. Is t bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 + 11*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 times -20862?\nAnswer: -938.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**2 - 4*k + 7. Let j(n) = 9*n**2 + 4*n - 6. Calculate 6*h(l) + 7*j(l).\nAnswer: 3*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyjy when four letters picked without replacement from yiyjiyiiyyiyijyjijj?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 1\/31, 1\/2, -3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1834, -3664, -5494, -7324?\nAnswer: -9154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/5044215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2248)\/(179\/(-716)). What is the third biggest value in 2\/13, -2\/3, r, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 o when three letters picked without replacement from {r: 3, i: 1, z: 4, l: 1, o: 5, p: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 325899037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3886 and 2613?\nAnswer: 151554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/((-3)\/18). Let q be (1\/(-2))\/(g\/16). Factor -4\/9*o + 0 - 2\/9*o**q.\nAnswer: -2*o*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 105720.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/4 + 77*i**3\/2 + 1881*i**2\/4 + 1701*i + 1269 = 0.\nAnswer: -141, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 0*q + 0*q. Let j(g) = g**2 + 6. Let v(k) = -k**2 - 4. Let z(u) = -4*j(u) - 6*v(u). Determine b(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/8 + 7*u**3\/6 + u**2 - 92*u. Give b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 43*z + 282. Let k be g(35). Sort -4, 0, -5, k.\nAnswer: -5, -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*p = 611*p - 14. Solve -p*z + 5*y - 28 + 9 = 0, -5*z - y + 20 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fa84d8 (base 16) to base 10.\nAnswer: 16418008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 667513*a\/4 - 166878.\nAnswer: -(a + 1)*(a + 667512)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p + 7275 = 17*p. Let f be (-32)\/8 + p\/(-36)*3. Determine x so that 81*x**2 - f*x**3 + 48 - 108*x = 0.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2227\/5896 + 2\/737. Let g = 58 + -41. Let b = -17.4 + g. Put o, -2, b in increasing order.\nAnswer: -2, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.65645 millennia?\nAnswer: 24656.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*v - 24. Suppose 1316 = -v*o + 8*o. Let y = -187 + o. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p - 5*h - 115, 3*h = -2*p - 47. Let y = 78\/35 - -3347\/210. Find the common denominator of y and (45\/p - -2)*12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.85939 or -3144?\nAnswer: -0.85939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 7, b: 2, l: 3, z: 6}. What is prob of sequence tp?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.92 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 18, 0 = 3*i - 5*y + 5 + 13. Put -8, 3, 0, i, -3 in descending order.\nAnswer: i, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 670*f**4 - 47250*f**3 - 1655480*f**2 - 4241755*f + 125324850 = 0. What is f?\nAnswer: -177, -17, 7, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5845838*x**2 - 76914491*x?\nAnswer: -11691676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j - 12. Let v be q(10). Calculate the greatest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14694)\/(-620))\/79)\/(1\/110).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 9. Suppose 4*y = 3*y + v. Put y, -3, 0 in decreasing order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8419713, -8419722, -8419735, -8419752?\n\"Answer: -2*j**2 - 3*j - 8419708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -51*o + 138. What is the thousands digit of k(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 86\/4233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3751436 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 21*j**2 + 209*j - 4780. Determine s(24).\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(6 + -4) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 17*r - 30*r + 53*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864235 and 5080?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 117?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 37 = 5*z, 92*z = 88*z - 5*c - 44 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {w: 4, q: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y - 3*n, -2*n = 2*n - 4. Solve y*x - 4*x - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/(-4)*(-63)\/147.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 10*y + 3*y + 3*y. Let w(m) = -m**2. Determine w(g(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1741*h - 4*h**2 + 2*h**2 - 1689*h in the form z*h + t*h**2 + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 249, 497, 825, 1233?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 0*k + 1 + 0*k)*(-2 + 2 - k**2).\nAnswer: 6*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -102053 and -102055 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4 - 180. Suppose -q + 10 = -x. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Let d be s(3). Suppose 14*x**d - x**4 - 6*x**3 + 10*x**2 + 4*x + 4*x**4 - x**4 = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - 1632\/(-224)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let r(s) = -326*s**2. Determine j(r(k)).\nAnswer: 212552*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 620 and -11?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34449252 - -34449249.8999939. Let l = -44.1 - -42. Let z = m - l. What is z rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - 2*o)*(-2 + 4 - 5) + (-1 - 2 - 1)*(4*o - 6*o - 3*o).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 124 (b) 14 (c) -1\/5 (d) 0.5 (e) -3 (f) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221202 + -2?\nAnswer: -221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*(-4)\/(-3). Let f(p) = -2*p - 4. Let r be f(-3). Let c be (-168)\/(-40) - 1\/5. Put c, q, r in decreasing order.\nAnswer: c, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1041 and -42878.1.\nAnswer: -41837.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aacc when four letters picked without replacement from ccacccaccaccccc?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443466 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3 - 2*h**2 + 371247*h - 16572283 wrt h.\nAnswer: 9*h**2 - 4*h + 371247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217119021 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (195767\/518)\/37 + (-4)\/(-14) + -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/3 - 30*b. Let q(c) = 18*c. What is 6*q(p) - 52*y(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54407850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4379*z**2 - z - 20. Let o(s) = -1461*s**2 + 6. What is 3*m(p) + 10*o(p)?\nAnswer: -1473*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d + 39253 + 102821 = 5106. What are the prime factors of d?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4612 is divided by 328.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3. Let z be l(3). Let c be (1*-6)\/((12\/27)\/(-4)). What is the highest common divisor of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-272)\/64*(-488)\/(-549)?\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 9?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + 3*sqrt(136)*1))\/(sqrt(8) + (5*(sqrt(8) - sqrt(200) - sqrt(8) - sqrt(8)) - sqrt(8) - sqrt(8))).\nAnswer: 3*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 276, 277, 278, 279, 280?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-1)*(6\/12 + 9 - 9). Calculate the highest common divisor of g and 2752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 515*n - 16 - 2.\nAnswer: -515*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*j + 83 - 194 = 137. Sort 32, -16, j in increasing order.\nAnswer: -16, j, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 377502*d**2 - 7018949 with respect to d.\nAnswer: 755004*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4051*v + 47 = 4050*v for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 2 + 2*a - 5*a)*(0 - 3 + 5)*(6*a**4 + 28*a**4 - 14*a**4).\nAnswer: -320*a**5 + 80*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(0 + (-8)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7*h + 2160 = 0. Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-26) + 3 + -466*(-1)\/(-182). Solve d*p**2 + 8\/7*p + 6\/7 = 0 for p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 4*w**2 - 3. Let y be g(4). Let v(p) = -19*p. Is 12 a factor of v(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437342 (base 8) in base 11?\nAnswer: a0631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -56*d**2 - 8*d + 8. Let h(w) = 47*w**2 - 4*w - 17. Let j(v) = -43*v**2 + 3*v + 15. Let a(x) = 6*h(x) + 7*j(x). Determine -8*a(u) + 3*q(u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-62 + -2) - 1. Let k be -140*(-6)\/72*3. Suppose z - k - i = 0. What is the greatest common factor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4799, -9358, -13921, -18488, -23059, -27634?\nAnswer: -32213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 66*m**2 + 139*m**3 - 83*m**2 + 161*m**2 - 2*m - 2*m in the form k*m**3 + u*m**2 + b + j*m and give k.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, -0.4, 5, 1, 0.0179, 3 in ascending order.\nAnswer: -0.4, 0.0179, 1, 3, 5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:11 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1031 - -569. Let q = -311 - z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(160\/260))\/1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -0.2. Let v = -0.7 - p. Let l = 2.636 + -0.636. Which is the nearest to l? (a) -1 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344 + -336. Let l = -8 - -7. Calculate the lowest common multiple of (-3)\/3 - (l - 10) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.56438 to two decimal places.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1205*g**3 + 609*g**3 + 601*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*s = -r, -3675*r - 3*s + 7583 = -59*r - 6878 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 369*n + 77. Let l be c(4). Suppose -6*r - l = -7475. What is the highest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7986 = -14*z - 7064. Let t = 17 + -10. Let f be z\/(-35) - (-2)\/t. What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaff. Give prob of picking 1 a and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 70. Let y be 2\/d*(-3)\/(-6). Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1787 - -1762. Let h = -454.93 - -429.9. Let d = h - a. Which is greater: -0.07 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + ((-6)\/(-4) - 47746\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y + 1787 = 19, 0 = 3*z + y - 1318. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p - 2*p + p - 5*p + 2*p + (-3 + 2 + 3)*(2*p - 1 + 1) - 2 + 2 + 2*p)*(-2*p - 5*p + 0*p) in the form f*p + q + z*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 6*a + a + 33 = 48 + 50, -r + a = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -796167 by -4.\nAnswer: 796167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.896 + -6.134. Let b = m + 90. Sort 3, -3, 5, b in descending order.\nAnswer: 5, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4147849.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1060835, -1060825, -1060801, -1060757, -1060687, -1060585?\n\"Answer: o**3 + o**2 - 1060837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18468 and 180?\nAnswer: 92340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -7*d - 279. Suppose 2*s = -2*l + 278, 367 = 2*s + 4*l + d. What is the first derivative of -93 + n**2 + 2*n + 15*n**2 + s wrt n?\nAnswer: 32*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12625?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -121516 (base 9) in base 14?\nAnswer: -1ca12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1637 + 1637. Solve -12*c + 17 + 43 = y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1804 and -5860.7.\nAnswer: -5860.5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682659002 to the nearest integer?\nAnswer: 41020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/20 - 2) + 2. Let u = 9 - 8.7. Put 3, u, o in decreasing order.\nAnswer: 3, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, -0.0284 in increasing order.\nAnswer: -5, -0.3, -0.0284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*x - 54, -3*x = 2*c + 9 + 14. Let a = -8 - c. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1988, 4, 3, -4, -5, 86 in descending order.\nAnswer: 86, 4, 3, -4, -5, -1988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -133366*r - 3600888. Calculate i(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q + 5 = -68*q. Suppose -4*h + 3 = 5*r, 4*r - 12 = h + r. Sort 6, h, q in decreasing order.\nAnswer: 6, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d + 22. Put 1\/3, d, -4\/9 in descending order.\nAnswer: d, 1\/3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -27003\nAnswer: -27002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 3. Let m(p) = -2*p + 4. Let x(q) = 3*m(q) - 4*z(q). Let j(r) be the third derivative of -r**4\/8 - 2*r**2 + 27. Calculate x(j(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 16*z + 6 = 0. Let u be 42 - (-2 - z)\/2. Let x = u + -23. Solve 0 = 3*t - 4*p - x, -3*p = 5*t - 1 + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 - 5*z - 1. Does 19 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18*(-22)\/(-64449))\/(1 - (-6)\/(-9)). What is the nearest to b in 4\/3, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92938 is divided by 92296.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a factor of 943441833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 17*l**2 + 4. Let m be (7 - 8)*(18 - 1). Let b be k(m). Suppose 13*t - 639 = b*t. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39677920 is divided by 13225951?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**4\/12 + s**3\/2 + 3*s**2\/2 - s. Let a(g) be the first derivative of c(g). Is a(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from wtttttttqttyti.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*3*(sqrt(408)\/(sqrt(96)\/sqrt(2) - sqrt(12)))\/(-1*sqrt(2)*5 - sqrt(4)\/sqrt(2)*-6).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:38 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33578225269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 9:55 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -c9?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/30 - c**2 + 124*c - 16. Let s(k) = 55 + k + 3 + 2. Determine s(w(z)).\nAnswer: -2*z**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 95 = -22*x. Suppose 0 = i - 17 - x. What is the greatest common factor of 54 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 552.6 * -2455\nAnswer: -1356633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-71628)\/(-324) - 10\/135. Calculate the greatest common divisor of 16 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134251 is divided by 915?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2*r - 138*r**2 - r.\nAnswer: -138*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/33)\/i**0)**(-4\/25) assuming i is positive.\nAnswer: i**(-8\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uat when three letters picked without replacement from uuarauuct.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:17 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9675\/250)\/43)\/(3\/5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 1250, 2777, 4914?\nAnswer: 7661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*s**3 - 8*m*s**2 + 1271*m + 323322841*s**3 + 4166*s wrt s.\nAnswer: -12*m + 1939937046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 22426*t - 22424*t - 2, t = 2*c + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2*f**3 + 3*f**3)*(-21 + 9 - 9)*(0 + 1 + 0)*((-2 + 2 - 1)*(-4 + 2 + 0) + 6 + 3 + 3).\nAnswer: -588*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (0 - -1) - (15 + -17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12*1 - (73 - 82)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5543 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -51*k + 103. Let x be v(2). Put x, -91, 5 in ascending order.\nAnswer: -91, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2441 + -2365. Calculate the highest common divisor of 16036 and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from ueeecteueecetucee.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4554, -4894, -5234, -5574, -5914?\n\"Answer: -340*z - 4214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9 = 3*m + 2*d, m - 5*d + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l + 443 - 443.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -9289372148.99.\nAnswer: -9289372149.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1013 + -736. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}